maths essay topics

260 Interesting Math Topics for Essays & Research Papers

Mathematics is the science of numbers and shapes. Writing about it can give you a fresh perspective and help to clarify difficult concepts. You can even use mathematical writing as a tool in problem-solving.

In this article, you will find plenty of interesting math topics. Besides, you will learn about branches of mathematics that you can choose from. And if the thought of letters and numbers makes your head swim, try our custom writing service . Our professionals will craft a paper for you in no time!

And now, let’s proceed to math essay topics and tips.

🔝 Top 10 Interesting Math Topics

✅ branches of mathematics, ✨ fun math topics.

• 🏫 Math Topics for High School
• 🎓 College Math Topics
• 🤔 Advanced Math
• 📚 Math Research
• ✏️ Math Education
• 💵 Business Math

🔍 References

• Number theory in everyday life.
• Logicist definitions of mathematics.
• Multivariable vs. vector calculus.
• 4 conditions of functional analysis.
• Random variable in probability theory.
• How is math used in cryptography?
• The purpose of homological algebra.
• Concave vs. convex in geometry.
• The philosophical problem of foundations.
• Is numerical analysis useful for machine learning?

What exactly is mathematics ? First and foremost, it is very old. Ancient Greeks and Persians were already utilizing mathematical tools. Nowadays, we consider it an interdisciplinary language.

Biologists, linguists, and sociologists alike use math in their work. And not only that, we all deal with it in our daily lives. For instance, it manifests in the measurement of time. We often need it to calculate how much our groceries cost and how much paint we need to buy to cover a wall.

Simply put, mathematics is a universal instrument for problem-solving. We can divide pure math into three branches: geometry, arithmetic, and algebra. Let’s take a closer look:

• Geometry By studying geometry, we try to comprehend our physical surroundings. Geometric shapes can be simple, like a triangle. Or, they can form complicated figures, like a rhombicosidodecahedron.
• Arithmetic Arithmetic deals with numbers and simple operations: subtraction, addition, division, and multiplication.
• Algebra Algebra is used when the exact numbers are unclear. Instead, they are replaced with letters. Businesses often need algebra to predict their sales.

It’s true that most high school students don’t like math. However, that doesn’t mean it can’t be a fun and compelling subject. In the following section, you will find plenty of enthralling mathematical topics for your paper.

If you’re struggling to start working on your essay, we have some fun and cool math topics to offer. They will definitely engage you and make the writing process enjoyable. Besides, fun math topics can show everyone that even math can be entertaining or even a bit silly.

• The link between mathematics and art – analyzing the Golden Ratio in Renaissance-era paintings.
• An evaluation of Georg Cantor’s set theory.
• The best approaches to learning math facts and developing number sense.
• Different approaches to probability as explored through analyzing card tricks. 
• Chess and checkers – the use of mathematics in recreational activities.
• The five types of math used in computer science.
• Real-life applications of the Pythagorean Theorem. 
• A study of the different theories of mathematical logic.
• The use of game theory in social science.
• Mathematical definitions of infinity and how to measure it.
• What is the logic behind unsolvable math problems?
• An explanation of mean, mode, and median using classroom math grades.
• The properties and geometry of a Möbius strip.
• Using truth tables to present the logical validity of a propositional expression.
• The relationship between Pascal’s Triangle and The Binomial Theorem. 
• The use of different number types: the history.
• The application of differential geometry in modern architecture.
• A mathematical approach to the solution of a Rubik’s Cube.
• Comparison of predictive and prescriptive statistical analyses.
• Explaining the iterations of the Koch snowflake.
• The importance of limits in calculus.
• Hexagons as the most balanced shape in the universe.
• The emergence of patterns in chaos theory.
• What were Euclid’s contributions to the field of mathematics?
• The difference between universal algebra and abstract algebra.

🏫 Math Essay Topics for High School

When writing a math paper, you want to demonstrate that you understand a concept. It can be helpful if you need to prepare for an exam. Choose a topic from this section and decide what you want to discuss.

• Explain what we need Pythagoras’ theorem for.
• What is a hyperbola?
• Describe the difference between algebra and arithmetic.
• When is it unnecessary to use a calculator ?
• Find a connection between math and the arts.
• How do you solve a linear equation?
• Discuss how to determine the probability of rolling two dice.
• Is there a link between philosophy and math?
• What types of math do you use in your everyday life?
• What is the numerical data?
• Explain how to use the binomial theorem.
• What is the distributive property of multiplication?
• Discuss the major concepts in ancient Egyptian mathematics. 
• Why do so many students dislike math?
• Should math be required in school?
• How do you do an equivalent transformation?
• Why do we need imaginary numbers?
• How can you calculate the slope of a curve?
• What is the difference between sine, cosine, and tangent?
• How do you define the cross product of two vectors?
• What do we use differential equations for?
• Investigate how to calculate the mean value.
• Define linear growth.
• Give examples of different number types.
• How can you solve a matrix?

🎓 College Math Topics for a Paper

Sometimes you need more than just formulas to explain a complex idea. That’s why knowing how to express yourself is crucial. It is especially true for college-level mathematics. Consider the following ideas for your next research project:

• What do we need n-dimensional spaces for?
• Explain how card counting works.
• Discuss the difference between a discrete and a continuous probability distribution. 
• How does encryption work? 
• Describe extremal problems in discrete geometry.
• What can make a math problem unsolvable?
• Examine the topology of a Möbius strip.

• What is K-theory? 
• Discuss the core problems of computational geometry.
• Explain the use of set theory .
• What do we need Boolean functions for?
• Describe the main topological concepts in modern mathematics.
• Investigate the properties of a rotation matrix.
• Analyze the practical applications of game theory.
• How can you solve a Rubik’s cube mathematically?
• Explain the math behind the Koch snowflake.
• Describe the paradox of Gabriel’s Horn.
• How do fractals form?
• Find a way to solve Sudoku using math.
• Why is the Riemann hypothesis still unsolved?
• Discuss the Millennium Prize Problems.
• How can you divide complex numbers?
• Analyze the degrees in polynomial functions.
• What are the most important concepts in number theory?
• Compare the different types of statistical methods.

🤔 Advanced Topics in Math to Write a Paper on

Once you have passed the trials of basic math, you can move on to the advanced section. This area includes topology, combinatorics, logic, and computational mathematics. Check out the list below for enticing topics to write about:

• What is an abelian group?
• Explain the orbit-stabilizer theorem.
• Discuss what makes the Burnside problem influential.
• What fundamental properties do holomorphic functions have?
• How does Cauchy’s integral theorem lead to Cauchy’s integral formula?
• How do the two Picard theorems relate to each other?
• When is a trigonometric series called a Fourier series?
• Give an example of an algorithm used for machine learning.
• Compare the different types of knapsack problems.
• What is the minimum overlap problem?
• Describe the Bernoulli scheme.
• Give a formal definition of the Chinese restaurant process.
• Discuss the logistic map in relation to chaos.
• What do we need the Feigenbaum constants for?
• Define a difference equation.
• Explain the uses of the Fibonacci sequence.
• What is an oblivious transfer?
• Compare the Riemann and the Ruelle zeta functions.
• How can you use elementary embeddings in model theory?
• Analyze the problem with the wholeness axiom and Kunen’s inconsistency theorem.
• How is Lie algebra used in physics ?
• Define various cases of algebraic cycles.
• Why do we need étale cohomology groups to calculate algebraic curves?
• What does non-Euclidean geometry consist of?
• How can two lines be ultraparallel?

📚 Math Research Topics for a Paper

Choosing the right topic is crucial for a successful research paper in math. It should be hard enough to be compelling, but not exceeding your level of competence. If possible, stick to your area of knowledge. This way your task will become more manageable. Here are some ideas:

• Write about the history of calculus.
• Why are unsolved math problems significant?
• Find reasons for the gender gap in math students.
• What are the toughest mathematical questions asked today?
• Examine the notion of operator spaces.
• How can we design a train schedule for a whole country?
• What makes a number big?

• How can infinities have various sizes?
• What is the best mathematical strategy to win a game of Go?
• Analyze natural occurrences of random walks in biology.
• Explain what kind of mathematics was used in ancient Persia.
• Discuss how the Iwasawa theory relates to modular forms.
• What role do prime numbers play in encryption?
• How did the study of mathematics evolve?
• Investigate the different Tower of Hanoi solutions.
• Research Napier’s bones. How can you use them?
• What is the best mathematical way to find someone who is lost in a maze?
• Examine the Traveling Salesman Problem. Can you find a new strategy?
• Describe how barcodes function.
• Study some real-life examples of chaos theory. How do you define them mathematically?
• Compare the impact of various ground-breaking mathematical equations .
• Research the Seven Bridges of Königsberg. Relate the problem to the city of your choice.
• Discuss Fisher’s fundamental theorem of natural selection.
• How does quantum computing work?
• Pick an unsolved math problem and say what makes it so difficult.

✏️ Math Education Research Topics

For many teachers, the hardest part is to keep the students interested. When it comes to math, it can be especially challenging. It’s crucial to make complicated concepts easy to understand. That’s why we need research on math education.

• Compare traditional methods of teaching math with unconventional ones.
• How can you improve mathematical education in the U.S.?
• Describe ways of encouraging girls to pursue careers in STEM fields.
• Should computer programming be taught in high school?
• Define the goals of mathematics education .
• Research how to make math more accessible to students with learning disabilities. 
• At what age should children begin to practice simple equations?
• Investigate the effectiveness of gamification in algebra classes. 
• What do students gain from taking part in mathematics competitions?
• What are the benefits of moving away from standardized testing ?
• Describe the causes of “ math anxiety .” How can you overcome it?
• Explain the social and political relevance of mathematics education.
• Define the most significant issues in public school math teaching.
• What is the best way to get children interested in geometry?
• How can students hone their mathematical thinking outside the classroom?
• Discuss the benefits of using technology in math class. 
• In what way does culture influence your mathematical education?
• Explore the history of teaching algebra.
• Compare math education in various countries.

• How does dyscalculia affect a student’s daily life?
• Into which school subjects can math be integrated?
• Has a mathematics degree increased in value over the last few years?
• What are the disadvantages of the Common Core Standards?
• What are the advantages of following an integrated curriculum in math?
• Discuss the benefits of Mathcamp.

🧮 Algebra Topics for a Paper

The elegance of algebra stems from its simplicity. It gives us the ability to express complex problems in short equations. The world was changed forever when Einstein wrote down the simple formula E=mc². Now, if your algebra seminar requires you to write a paper, look no further! Here are some brilliant prompts:

• Give an example of an induction proof.
• What are F-algebras used for?
• What are number problems?
• Show the importance of abstract algebraic thinking. 
• Investigate the peculiarities of Fermat’s last theorem.
• What are the essentials of Boolean algebra?
• Explore the relationship between algebra and geometry.
• Compare the differences between commutative and noncommutative algebra.
• Why is Brun’s constant relevant?
• How do you factor quadratics?
• Explain Descartes’ Rule of Signs.
• What is the quadratic formula?
• Compare the four types of sequences and define them.
• Explain how partial fractions work.
• What are logarithms used for?
• Describe the Gaussian elimination.
• What does Cramer’s rule state?
• Explore the difference between eigenvectors and eigenvalues.
• Analyze the Gram-Schmidt process in two dimensions.
• Explain what is meant by “range” and “domain” in algebra.
• What can you do with determinants?
• Learn about the origin of the distance formula.
• Find the best way to solve math word problems.
• Compare the relationships between different systems of equations.
• Explore how the Rubik’s cube relates to group theory.

📏 Geometry Topics for a Research Paper

Shapes and space are the two staples of geometry. Since its appearance in ancient times, it has evolved into a major field of study. Geometry’s most recent addition, topology, explores what happens to an object if you stretch, shrink, and fold it. Things can get pretty crazy from here! The following list contains 25 interesting geometry topics:

• What are the Archimedean solids?
• Find real-life uses for a rhombicosidodecahedron.
• What is studied in projective geometry?
• Compare the most common types of transformations.
• Explain how acute square triangulation works.
• Discuss the Borromean ring configuration.
• Investigate the solutions to Buffon’s needle problem.
• What is unique about right triangles?

• Describe the notion of Dirac manifolds.
• Compare the various relationships between lines.
• What is the Klein bottle?
• How does geometry translate into other disciplines, such as chemistry and physics?
• Explore Riemannian manifolds in Euclidean space.
• How can you prove the angle bisector theorem?
• Do a research on M.C. Escher’s use of geometry.
• Find applications for the golden ratio .
• Describe the importance of circles.
• Investigate what the ancient Greeks knew about geometry.
• What does congruency mean?
• Study the uses of Euler’s formula.
• How do CT scans relate to geometry?
• Why do we need n-dimensional vectors?
• How can you solve Heesch’s problem?
• What are hypercubes?
• Analyze the use of geometry in Picasso’s paintings.

➗ Calculus Topics to Write a Paper on

You can describe calculus as a more complicated algebra. It’s a study of change over time that provides useful insights into everyday problems. Applied calculus is required in a variety of fields such as sociology, engineering, or business. Consult this list of compelling topics on a calculus paper:

• What are the differences between trigonometry, algebra, and calculus?
• Explain the concept of limits.
• Describe the standard formulas needed for derivatives.
• How can you find critical points in a graph?
• Evaluate the application of L’Hôpital’s rule.
• How do you define the area between curves?
• What is the foundation of calculus?

• How does multivariate calculus work?
• Discuss the use of Stokes’ theorem.
• What does Leibniz’s integral rule state?
• What is the Itô stochastic integral?
• Explore the influence of nonstandard analysis on probability theory.
• Research the origins of calculus.
• Who was Maria Gaetana Agnesi?
• Define a continuous function.
• What is the fundamental theorem of calculus?
• How do you calculate the Taylor series of a function?
• Discuss the ways to resolve Runge’s phenomenon.
• Explain the extreme value theorem.
• What do we need predicate calculus for?
• What are linear approximations?
• When does an integral become improper?
• Describe the Ratio and Root Tests.
• How does the method of rings work?
• Where do we apply calculus in real-life situations?

💵 Business Math Topics to Write About

You don’t have to own a company to appreciate business math. Its topics range from credits and loans to insurance, taxes, and investment. Even if you’re not a mathematician, you can use it to handle your finances. Sounds interesting? Then have a look at the following list:

• What are the essential skills needed for business math?
• How do you calculate interest rates?
• Compare business and consumer math.
• What is a discount factor?
• How do you know that an investment is reasonable?
• When does it make sense to pay a loan with another loan?
• Find useful financing techniques that everyone can use.
• How does critical path analysis work?
• Explain how loans work.
• Which areas of work utilize operations research?
• How do businesses use statistics?
• What is the economic lot scheduling problem?
• Compare the uses of different chart types.
• What causes a stock market crash?
• How can you calculate the net present value?
• Explore the history of revenue management.
• When do you use multi-period models?
• Explain the consequences of depreciation.
• Are annuities a good investment?
• Would the U.S. financially benefit from discontinuing the penny?
• What caused the United States housing crash in 2008?
• How do you calculate sales tax?
• Describe the notions of markups and markdowns. 
• Investigate the math behind debt amortization.
• What is the difference between a loan and a mortgage?

With all these ideas, you are perfectly equipped for your next math paper. Good luck!

• What Is Calculus?: Southern State Community College
• What Is Mathematics?: Tennessee Tech University
• What Is Geometry?: University of Waterloo
• What Is Algebra?: BBC
• Ten Simple Rules for Mathematical Writing: Ohio State University
• Practical Algebra Lessons: Purplemath
• Topics in Geometry: Massachusetts Institute of Technology
• The Geometry Junkyard: All Topics: Donald Bren School of Information and Computer Sciences
• Calculus I: Lamar University
• Business Math for Financial Management: The Balance Small Business
• What Is Mathematics: Life Science
• What Is Mathematics Education?: University of California, Berkeley
• Share to Facebook
• Share to LinkedIn
• Share to email

Cause and effect essays examine how an event happened and what consequences it had. Gaining weight after eating lots of fast food is an example of a cause-and-effect relationship. Possible topics cover a variety of subjects ranging from mental health to history and politics. This article gives you an outline...

An analysis essay aims to break down the subject in order to understand it. You can choose to analyze a text, a process, or an idea. This article will help you write a great essay! Selecting an interesting topic makes writing a lot easier. We’ve prepared a list of excellent...

Everybody knows that being healthy requires effort. We should exercise regularly and maintain a balanced diet. However, the reward is worth it. A healthy lifestyle prevents chronic illnesses and leads to better body performance. Besides, if you improve your physical well-being, your mental health will strengthen as well! In this...

Environment affects us all, whether we want it or not. Political leaders and students alike discuss ways to tackle environmental topics & issues. Some might argue about the role humans play in all this. The fact remains that our environment is a delicate matter. That’s why we must educate ourselves...

Our code of ethics is derived from what we think is right or wrong. On top of that, we have to agree to the moral standards established by the society we live in. Conventional norms generally label theft, murder, or harassment as bad. However, there are many influences that impact...

A definition explains the meaning of a term or a concept. In a dictionary, you’ll find a definition in a single sentence. A definition paper, however, encompasses several paragraphs. Such an essay, amongst other things, can include personal experience and examples. To write a successful definition paper, you need to...

As simple as it is, the purpose of the descriptive essay is to explain or portray its subject. It can focus on any topic or issue you want to write about. Be sure that any middle school, high school, or college student can manage this type of creative writing assignment!...

Rhetorical analysis essay focuses on assessing the method used for delivering a message. This assignment isn’t about giving an opinion on the topic. The purpose is to analyze how the author presents the argument and whether or not they succeeded. Keep reading to find out more strategies and prompts for...

A narrative essay tells a story about a series of events. At the core of this kind of essay can be a personal experience or a fictional plot. Any story can be a basis for a narrative essay! Narratives can look similar to descriptions. Still, they are different. A descriptive...

Similar to the instructions in a recipe book, process essays convey information in a step-by-step format. In this type of paper, you follow a structured chronological process. You can also call it a how-to essay. A closely related type is a process analysis essay. Here you have to carefully consider...

In a classification essay, you divide the subject into categories. To create these categories, you single out certain attributes of things. You can classify them according to their characteristics, themes, or traits. Sounds complicated? Be sure that any high school or college student can manage this type of essay!

Throughout your high school years, you are likely to write many evaluative papers. In an evaluation essay you aim is to justify your point of view through evidence.

I need a writer on algebra. I am a PhD student.Can i be helped by anybody/expert?

Please I want to do my MPhil research on algebra if you can help me

shall your university help me on research in mathematics ?

how I get the full pdf of those tittles

Print as pdf.

• Have your assignments done by seasoned writers. We work 24/7. Just email us at:
• [email protected]

25 Interesting Math Topics: How to Write a Good Math Essay

writing good math essay

Mathematics is a fascinating world of numbers, shapes, and patterns. 

Whether you are a student looking to grasp math concepts or someone who finds math intriguing, these topics will spark your curiosity and help you discover the beauty of mathematics straightforwardly and engagingly.

In this article, I will explore interesting math topics that make this subject not only understandable but also enjoyable.

Why Write About Mathematics

First, it helps demystify a subject that many find intimidating. By breaking down complex mathematical concepts into simple, understandable language, we can make math accessible to a wider audience, fostering greater understanding and appreciation.

Second, writing about mathematics allows us to showcase the practical applications of math in everyday life, from managing personal finances to solving real-world problems.

This helps readers recognize the relevance of math and its role in various fields and industries.

Additionally, writing about mathematics can inspire curiosity and a love for learning.

It encourages critical thinking and problem-solving skills, promoting intellectual growth and academic success.

Finally, mathematics is a universal language that transcends cultural and linguistic barriers.

After discussing math topics, we can connect with a global audience, fostering a sense of unity and collaboration in the pursuit of knowledge

 25 Interesting Math Topics to Write On

 Mathematics is a vast and intriguing field, offering a multitude of interesting topics to explore and write about.

Here are 25 such topics that promise to engage both math enthusiasts and those seeking a deeper understanding of this fascinating subject.

1. Fibonacci Sequence: Delve into the mesmerizing world of numbers with this sequence, where each number is the sum of the two preceding ones.

2. Golden Ratio: Explore the ubiquity of the golden ratio in art, architecture, and nature.

3. Prime Numbers: Investigate the mysterious properties of prime numbers and their role in cryptography.

4. Chaos Theory: Understand the unpredictability of chaotic systems and how small changes can lead to drastically different outcomes.

5. Game Theory: Examine the strategies and decision-making processes behind games and real-world situations.

6. Cryptography: Uncover the mathematical principles behind secure communication and encryption.

7. Fractals: Discover the self-replicating geometric patterns that occur in nature and mathematics.

8. Probability Theory: Dive into the world of uncertainty and randomness, where math helps us make informed predictions.

9. Number Theory: Explore the properties and relationships of integers, including divisibility and congruence.

10. Geometry of Art: Analyze how geometry and math principles influence art and design.

11. Topology: Study the properties of space that remain unchanged under continuous transformations, leading to the concept of “rubber-sheet geometry.”

12. Knot Theory: Investigate the mathematical study of knots and their applications in various fields.

13. Number Systems: Learn about different number bases, such as binary and hexadecimal, and their significance in computer science.

14. Graph Theory: Explore networks, relationships, and the mathematics of connections.

15. The Monty Hall Problem: Delight in this famous probability puzzle based on a game show scenario.

16. Calculus: Examine the principles of differentiation and integration that underlie a wide range of scientific and engineering applications.

17. The Riemann Hypothesis: Consider one of the most famous unsolved problems in mathematics involving the distribution of prime numbers.

18. Euler’s Identity: Marvel at the beauty of Euler’s equation, often described as the most elegant mathematical formula.

19. The Four-Color Theorem: Uncover the fascinating problem of coloring maps with only four colors without adjacent regions sharing the same color.

20. P vs. NP Problem: Delve into one of the most critical unsolved problems in computer science, addressing the efficiency of algorithms.

21. The Bridges of Konigsberg: Explore a classic problem in graph theory that inspired the development of topology.

22. The Birthday Paradox: Understand the surprising likelihood of shared birthdays in a group.

23. Non-Euclidean Geometry: Step into the world of geometries where Euclid’s parallel postulate doesn’t hold, leading to intriguing alternatives like hyperbolic and elliptic geometry.

24. Perfect Numbers: Learn about the properties of numbers that are the sum of their proper divisors.

25. Zero: The History of Nothing: Trace the historical and mathematical significance of the number zero and its role in the development of mathematics.

How to Write a Good Math Essay

Mathematics essays , though often perceived as daunting, can be a rewarding way to delve into the world of mathematical concepts, problem-solving, and critical thinking.

Whether you are a student assigned to write a math essay or someone who wants to explore math topics in-depth, this guide will provide you with the key steps to write a good math essay that is clear, concise, and engaging.

1. Understanding the Essay Prompt

Before you begin writing, it’s crucial to understand the essay prompt or question.

Analyze the specific topic, the scope of the essay, and any guidelines or requirements provided by your instructor.

Mostly, this initial step sets the direction for your essay and ensures you stay on topic.

2. Research and Gather Information

You need to gather relevant information and resources to write a strong math essay. This includes textbooks, academic papers, and reputable websites.

Make sure to cite your sources properly using a recognized citation style such as APA, MLA, or Chicago.

3. Structuring Your Math Essay

Start with a clear introduction that provides an overview of the topic and the main thesis or argument of your essay. This section should capture the reader’s attention and present a roadmap for what to expect.

The body of your essay is where you present your arguments, explanations, and evidence. Use clear subheadings to organize your ideas. Ensure that your arguments are logical and well-structured.

Begin by defining any important mathematical concepts or terms necessary to understand your topic.

Clearly state your main arguments or theorems. Please support them with evidence, equations, diagrams, or examples.

Explain the logical steps or mathematical reasoning behind your arguments. This can include proofs, derivations, or calculations.

Ensure your writing is clear and free from jargon that might confuse the reader. Explain complex ideas in a way that’s accessible to a broader audience.

Whenever applicable, include diagrams, graphs, or visual aids to illustrate your points. Visual representations can enhance the clarity of your essay.

Summarize your main arguments, restate your thesis, and offer a concise conclusion. Address the significance of your findings and the implications of your research or discussion.

4. Proofreading and Editing

Once you’ve written your math essay, take the time to proofread and edit it. Pay attention to grammar, spelling, punctuation, and the overall flow of your writing.

Ensure that your essay is well-organized and free from errors.

Consider seeking feedback from peers or an instructor to gain a fresh perspective.

5. Presentation and Formatting

A well-presented essay is more likely to engage the reader. Follow these formatting guidelines:

• Use a legible font (e.g., Times New Roman or Arial) in a standard size (12-point).
• Double-space your essay and include page numbers if required.
• Create a title page with your name, essay title, course information, and date.
• Use section headings and subheadings for clarity.
• Include a reference page to cite your sources appropriately.

6. Mathematical Notation and Symbols

Mathematics relies heavily on notation and symbols. Ensure that you use mathematical notation correctly and consistently.

If you introduce new symbols or terminology, define them clearly for the reader’s understanding.

7. Seek Clarification

If you encounter difficulties or ambiguities in your math essay, don’t hesitate to seek clarification from your instructor or peers.

Discussing complex mathematical concepts with others can help you refine your understanding and improve your essay.

8. Practice and Feedback

Writing math essays, like any skill, improves with practice. The more you write and receive feedback, the better you’ll become.

Take your time with initial challenges. Instead, view them as opportunities for growth and learning.

With dedication and attention to detail, you can craft a math essay that not only conveys your mathematical knowledge but also engages and informs your readers.

Josh Jasen or JJ as we fondly call him, is a senior academic editor at Grade Bees in charge of the writing department. When not managing complex essays and academic writing tasks, Josh is busy advising students on how to pass assignments. In his spare time, he loves playing football or walking with his dog around the park.

Related posts

essay writing problems

10 Essay Writing Problems and their Easy Solutions

writing essay on your phone

How to Write an Essay or paper on your Phone: 3 Easy Ways

essay writing is important

7 reasons why Writing is Important in College & in Life

Math Essay Ideas for Students: Exploring Mathematical Concepts

Are you a student who's been tasked with writing a math essay? Don't fret! While math may seem like an abstract and daunting subject, it's actually full of fascinating concepts waiting to be explored. In this article, we'll delve into some exciting math essay ideas that will not only pique your interest but also impress your teachers. So grab your pens and calculators, and let's dive into the world of mathematics!

• The Beauty of Fibonacci Sequence

Have you ever wondered why sunflowers, pinecones, and even galaxies exhibit a mesmerizing spiral pattern? It's all thanks to the Fibonacci sequence! Explore the origin, properties, and real-world applications of this remarkable mathematical sequence. Discuss how it manifests in nature, art, and even financial markets. Unveil the hidden beauty behind these numbers and show how they shape the world around us.

• The Mathematics of Music

Did you know that music and mathematics go hand in hand? Dive into the relationship between these two seemingly unrelated fields and develop your writing skills . Explore the connection between harmonics, frequencies, and mathematical ratios. Analyze how musical scales are constructed and why certain combinations of notes create pleasant melodies while others may sound dissonant. Explore the fascinating world where numbers and melodies intertwine.

• The Geometry of Architecture

Architects have been using mathematical principles for centuries to create awe-inspiring structures. Explore the geometric concepts that underpin iconic architectural designs. From the symmetry of the Parthenon to the intricate tessellations in Islamic art, mathematics plays a crucial role in creating visually stunning buildings. Discuss the mathematical principles architects employ and how they enhance the functionality and aesthetics of their designs.

• Fractals: Nature's Infinite Complexity

Step into the mesmerizing world of fractals, where infinite complexity arises from simple patterns. Did you know that the famous Mandelbrot set , a classic example of a fractal, has been studied extensively and generated using computers? In fact, it is estimated that the Mandelbrot set requires billions of calculations to generate just a single image! This showcases the computational power and mathematical precision involved in exploring the beauty of fractal geometry.

Explore the beauty and intricacy of fractal geometry, from the famous Mandelbrot set to the Sierpinski triangle. Discuss the self-similarity and infinite iteration that define fractals and how they can be found in natural phenomena such as coastlines, clouds, and even in the structure of our lungs. Examine how fractal mathematics is applied in computer graphics, art, and the study of chaotic systems. Let the captivating world of fractals unfold before your eyes.

• The Game Theory Revolution

Game theory isn't just about playing games; it's a powerful tool used in various fields, from economics to biology. Dive into the world of strategic decision-making and explore how game theory helps us understand human behavior and predict outcomes. Discuss in your essay classic games like The Prisoner's Dilemma and examine how mathematical models can shed light on complex social interactions. Explore the cutting-edge applications of game theory in diverse fields, such as cybersecurity and evolutionary biology. If you still have difficulties choosing an idea for a math essay, find a reliable expert online. Ask them to write me an essay or provide any other academic assistance with your math assignments.

• Chaos Theory and the Butterfly Effect

While writing an essay, explore the fascinating world of chaos theory and how small changes can lead to big consequences. Discuss the famous Butterfly Effect and how it exemplifies the sensitive dependence on initial conditions. Delve into the mathematical principles behind chaotic systems and their applications in weather forecasting, population dynamics, and cryptography. Unravel the hidden order within apparent randomness and showcase the far-reaching implications of chaos theory.

• The Mathematics Behind Cryptography

In an increasingly digital world, cryptography plays a vital role in ensuring secure communication and data protection. Did you know that the global cybersecurity market is projected to reach a staggering $248.26 billion by 2023? This statistic emphasizes the growing importance of cryptography in safeguarding sensitive information.

Explore the mathematical foundations of cryptography and how it allows for the creation of unbreakable codes and encryption algorithms. Discuss the concepts of prime numbers, modular arithmetic, and public-key cryptography. Delve into the fascinating history of cryptography, from ancient times to modern-day encryption methods. In your essay, highlight the importance of mathematics in safeguarding sensitive information and the ongoing challenges faced by cryptographers.

Writing a math essay doesn't have to be a daunting task. By choosing a captivating topic and exploring the various mathematical concepts, you can turn your essay into a fascinating journey of discovery. Whether you're uncovering the beauty of the Fibonacci sequence, exploring the mathematical underpinnings of music, or delving into the game theory revolution, there's a world of possibilities waiting to be explored. So embrace the power of mathematics and let your creativity shine through your words!

Remember, these are just a few math essay ideas to get you started. Feel free to explore other mathematical concepts that ignite your curiosity. The world of mathematics is vast, and each concept has its own unique story to tell. So go ahead, unleash your inner mathematician, and embark on an exciting journey through the captivating realm of mathematical ideas!

Tobi Columb, a math expert, is a dedicated educator and explorer. He is deeply fascinated by the infinite possibilities of mathematics. Tobi's mission is to equip his students with the tools needed to excel in the realm of numbers. He also advocates for the benefits of a gluten-free lifestyle for students and people of all ages. Join Tobi on his transformative journey of mathematical mastery and holistic well-being.

Related Calculators

In case you have any suggestion, or if you would like to report a broken solver/calculator, please do not hesitate to contact us .

log in to your account

Reset password.

• Write my thesis
• Thesis writers
• Buy thesis papers
• Bachelor thesis
• Master's thesis
• Thesis editing services
• Thesis proofreading services
• Buy a thesis online
• Write my dissertation
• Dissertation proposal help
• Pay for dissertation
• Custom dissertation
• Dissertation help online
• Buy dissertation online
• Cheap dissertation
• Dissertation editing services
• Write my research paper
• Buy research paper online
• Pay for research paper
• Research paper help
• Order research paper
• Custom research paper
• Cheap research paper
• Research papers for sale
• Thesis subjects
• How It Works

181 Mathematics Research Topics From PhD Experts

If you are reading this blog post, it means you are looking for some exceptional math research topics. You want them to be original, unique even. If you manage to find topics like this, you can be sure your professor will give you a top grade (if you write a decent paper, that is). The good news is that you have arrived at just the right place – at the right time. We have just finished updating our list of topics, so you will find plenty of original ideas right on this page. All our topics are 100 percent free to use as you see fit. You can reword them and you don’t need to give us any credit.

And remember: if you need assistance from a professional, don’t hesitate to reach out to us. We are not just the best place for math research topics for high school students; we are also the number one choice for students looking for top-notch research paper writing services.

Our Newest Research Topics in Math

We know you probably want the best and most recent research topics in math. You want your paper to stand out from all the rest. After all, this is the best way to get some bonus points from your professor. On top of this, finding some great topics for your next paper makes it easier for you to write the essay. As long as you know at least something about the topic, you’ll find that writing a great paper or buy phd thesis isn’t as difficult as you previously thought.

So, without further ado, here are the 181 brand new topics for your next math research paper:

Cool Math Topics to Research

Are you looking for some cool math topics to research? We have a list of original topics for your right here. Pick the one you like and start writing now:

• Roll two dice and calculate a probability
• Discuss ancient Greek mathematics
• Is math really important in school?
• Discuss the binomial theorem
• The math behind encryption
• Game theory and its real-life applications
• Analyze the Bernoulli scheme
• What are holomorphic functions and how do they work?
• Describe big numbers
• Solving the Tower of Hanoi problem

Undergraduate Math Research Topics

If you are an undergraduate looking for some research topics for your next math paper, you will surely appreciate our list of interesting undergraduate math research topics:

• Methods to count discrete objects
• The origins of Greek symbols in mathematics
• Methods to solve simultaneous equations
• Real-world applications of the theorem of Pythagoras
• Discuss the limits of diffusion
• Use math to analyze the abortion data in the UK over the last 100 years
• Discuss the Knot theory
• Analyze predictive models (take meteorology as an example)
• In-depth analysis of the Monte Carlo methods for inverse problems
• Squares vs. rectangles (compare and contrast)

Number Theory Topics to Research

Interested in writing about number theory? It is not an easy subject to discuss, we know. However, we are sure you will appreciate these number theory topics:

• Discuss the greatest common divisor
• Explain the extended Euclidean algorithm
• What are RSA numbers?
• Discuss Bézout’s lemma
• In-depth analysis of the square-free polynomial
• Discuss the Stern-Brocot tree
• Analyze Fermat’s little theorem
• What is a discrete logarithm?
• Gauss’s lemma in number theory
• Analyze the Pentagonal number theorem

Math Research Topics for High School

High school students shouldn’t be too worried about their math papers because we have some unique, and quite interesting, math research topics for high school right here:

• Discuss Brun’s constant
• An in-depth look at the Brahmagupta–Fibonacci identity
• What is derivative algebra?
• Describe the Symmetric Boolean function
• Discuss orders of approximation in limits
• Solving Regiomontanus’ angle maximization problem
• What is a Quadratic integral?
• Define and describe complementary angles
• Analyze the incircle and excircles of a triangle
• Analyze the Bolyai–Gerwien theorem in geometry
• Math in our everyday life

Complex Math Topics

If you want to give some complex math topics a try, we have the best examples below. Remember, these topics should only be attempted by students who are proficient in mathematics:

• Mathematics and its appliance in Artificial Intelligence
• Try to solve an unsolved problem in math
• Discuss Kolmogorov’s zero-one law
• What is a discrete random variable?
• Analyze the Hewitt–Savage zero-one law
• What is a transferable belief model?
• Discuss 3 major mathematical theorems
• Describe and analyze the Dempster-Shafer theory
• An in-depth analysis of a continuous stochastic process
• Identify and analyze Gauss-Markov processes

Easy Math Research Paper Topics

Perhaps you don’t want to spend too much time working on your next research paper. Who can blame you? Check out these easy math research paper topics:

• Define the hyperbola
• Do we need to use a calculator during math class?
• The binomial theorem and its real-world applications
• What is a parabola in geometry?
• How do you calculate the slope of a curve?
• Define the Jacobian matrix
• Solving matrix problems effectively
• Why do we need differential equations?
• Should math be mandatory in all schools?
• What is a Hessian matrix?

Logic Topics to Research

We have some interesting logical topics for research papers. These are perfect for students interested in writing about math logic. Pick one right now:

• Discuss the reductio ad absurdum approach
• Discuss Boolean algebra
• What is consistency proof?
• Analyze Trakhtenbrot’s theorem (the finite model theory)
• Discuss the Gödel completeness theorem
• An in-depth analysis of Morley’s categoricity theorem
• How does the Back-and-forth method work?
• Discuss the Ehrenfeucht–Fraïssé game technique
• Discuss Aleph numbers (Aleph-null and Aleph-one)
• Solving the Suslin problem

Algebra Topics for a Research Paper

Would you like to write about an algebra topic? No problem, our seasoned writers have compiled a list of the best algebra topics for a research paper:

• Discuss the differential equation
• Analyze the Jacobson density theorem
• The 4 properties of a binary operation in algebra
• Analyze the unary operator in depth
• Analyze the Abel–Ruffini theorem
• Epimorphisms vs. monomorphisms: compare and contrast
• Discuss the Morita duality in algebraic structures
• Idempotent vs. nilpotent in Ring theory
• Discuss the Artin-Wedderburn theorem
• What is a commutative ring in algebra?
• Analyze and describe the Noetherian ring

Math Education Research Topics

There is nothing wrong with writing about math education, especially if your professor did not give you writing prompts. Here are some very nice math education research topics:

• What are the goals a mathematics professor should have?
• What is math anxiety in the classroom?
• Teaching math in UK schools: the difficulties
• Computer programming or math in high school?
• Is math education in Europe at a high enough level?
• Common Core Standards and their effects on math education
• Culture and math education in Africa
• What is dyscalculia and how does it manifest itself?
• When was algebra first thought in schools?
• Math education in the United States versus the United Kingdom

Computability Theory Topics to Research

Writing about computability theory can be a very interesting adventure. Give it a try! Here are some of our most interesting computability theory topics to research:

• What is a multiplication table?
• Analyze the Scholz conjecture
• Explain exponentiating by squaring
• Analyze the Myhill-Nerode theorem
• What is a tree automaton?
• Compare and contrast the Pushdown automaton and the Büchi automaton
• Discuss the Markov algorithm
• What is a Turing machine?
• Analyze the post correspondence problem
• Discuss the linear speedup theorem
• Discuss the Boolean satisfiability problem

Interesting Math Research Topics

We know you want topics that are interesting and relatively easy to write about. This is why we have a separate list of our most interesting math research topics:

• What is two-element Boolean algebra?
• The life of Gauss
• The life of Isaac Newton
• What is an orthodiagonal quadrilateral?
• Tessellation in Euclidean plane geometry
• Describe a hyperboloid in 3D geometry
• What is a sphericon?
• Discuss the peculiarities of Borel’s paradox
• Analyze the De Finetti theorem in statistics
• What are Martingales?
• The basics of stochastic calculus

Applied Math Research Topics

Interested in writing about applied mathematics? Our team managed to create a list of awesome applied math research topics from scratch for you:

• Discuss Newton’s laws of motion
• Analyze the perpendicular axes rule
• How is a Galilean transformation done?
• The conservation of energy and its applications
• Discuss Liouville’s theorem in Hamiltonian mechanics
• Analyze the quantum field theory
• Discuss the main components of the Lorentz symmetry
• An in-depth look at the uncertainty principle

Geometry Topics for a Research Paper

Geometry can be a very captivating subject, especially when you know plenty about it. Check out our list of geometry topics for a research paper and pick the best one today:

• Most useful trigonometry functions in math
• The life of Archimedes and his achievements
• Trigonometry in computer graphics
• Using Vincenty’s formulae in geodesy
• Define and describe the Heronian tetrahedron
• The math behind the parabolic microphone
• Discuss the Japanese theorem for concyclic polygons
• Analyze Euler’s theorem in geometry

Math Research Topics for Middle School

Yes, even middle school children can write about mathematics. We have some original math research topics for middle school right here:

• Finding critical points in a graph
• The basics of calculus
• What makes a graph ultrahomogeneous?
• How do you calculate the area of different shapes?
• What contributions did Euclid have to the field of mathematics?
• What is Diophantine geometry?
• What makes a graph regular?
• Analyze a full binary tree

Math Research Topics for College Students

As you’ve probably already figured out, college students should pick topics that are a bit more complex. We have some of the best math research topics for college students right here:

• What are extremal problems and how do you solve them?
• Discuss an unsolvable math problem
• How can supercomputers solve complex mathematical problems?
• An in-depth analysis of fractals
• Discuss the Boruvka’s algorithm (related to the minimum spanning tree)
• Discuss the Lorentz–FitzGerald contraction hypothesis in relativity
• An in-depth look at Einstein’s field equation
• The math behind computer vision and object recognition

Calculus Topics for a Research Paper

Let’s face it: calculus is not a very difficult field. So, why don’t you pick one of our excellent calculus topics for a research paper and start writing your essay right away:

• When do we need to apply the L’Hôpital rule?
• Discuss the Leibniz integral rule
• Calculus in ancient Egypt
• Discuss and analyze linear approximations
• The applications of calculus in real life
• The many uses of Stokes’ theorem
• Discuss the Borel regular measure
• An in-depth analysis of Lebesgue’s monotone convergence theorem

Simple Math Research Paper Topics for High School

This is the place where you can find some pretty simple topics if you are a high school student. Check out our simple math research paper topics for high school:

• The life and work of the famous Pierre de Fermat
• What are limits and why are they useful in calculus?
• Explain the concept of congruency
• The life and work of the famous Jakob Bernoulli
• Analyze the rhombicosidodecahedron and its applications
• Calculus and the Egyptian pyramids
• The life and work of the famous Jean d’Alembert
• Discuss the hyperplane arrangement in combinatorial computational geometry
• The smallest enclosing sphere method in combinatorics

Business Math Topics

If you want to surprise your professor, why don’t you write about business math? We have some exceptional topics that nobody has thought about right here:

• Is paying a loan with another loan a good approach?
• Discuss the major causes of a stock market crash
• Best debt amortization methods in the US
• How do bank loans work in the UK?
• Calculating interest rates the easy way
• Discuss the pros and cons of annuities
• Basic business math skills everyone should possess
• Business math in United States schools
• Analyze the discount factor

Probability and Statistics Topics for Research

Probability and statistics are not easy fields. However, you can impress your professor with one of our unique probability and statistics topics for research:

• What is the autoregressive conditional duration?
• Applying the ANOVA method to ranks
• Discuss the practical applications of the Bates distribution
• Explain the principle of maximum entropy
• Discuss Skorokhod’s representation theorem in random variables
• What is the Factorial moment in the Theory of Probability?
• Compare and contrast Cochran’s C test and his Q test
• Analyze the De Moivre-Laplace theorem
• What is a negative probability?

Need Help With Research Paper?

We offer the absolute best high school and college research paper writing service on the Internet. When you need any kind of research paper help, our experienced ENL writers and professional editors are here to help. With years of experience under their belts, our experts can get your research paper done in as little as 3 hours.

Getting cheap online help with research papers has never been easier. College students should just get in touch with us and tell us what they need. We will assign them our most affordable and experienced math writer in minutes, even during the night. We are the best-rated online writing company on the Internet because we always deliver high-quality academic content at the most competitive prices. Give us a try today!

Leave a Reply Cancel reply

Mathematics Extended Essay Topics for IB

Table of contents

• Writing Metier

Ever felt the exhilaration that comes with cracking a complex math problem? That’s the sheer beauty of mathematics – it’s a world where numbers dance, patterns emerge, and solutions await the keen observer. Felt that? Hah?

Now, imagine channeling that same enthusiasm and zest into your Math Extended essay. It might sound like a challenge, but isn’t that what we thrive on? With the right Math EE topic, you can showcase your mathematical prowess and leave an indelible mark on your IB evaluators following the general criteria. 

To help you with that, I’ve curated a list of Math extended essay ideas that span the spectrum from the accessible to the intricate. 

So, let’s begin.

IB Math extended essay ideas

These aren’t just topics; they’re gateways to exploration, understanding, and innovation. 

Ready to get started?

Easy-to-approach topics

For those looking for a gentler introduction to the Math Extended essay, below is a list of 10 engaging and manageable IB Math EE topic ideas, each with a research question and a brief description on how to approach it:

Patterns in Pascal’s Triangle

Research Question: 

How do patterns emerge in Pascal’s Triangle?

Description: 

Begin with the construction of Pascal’s Triangle, then delve into the exploration of its patterns, such as triangular numbers and the Fibonacci sequence.

Mathematics of Voting Systems

How do different voting systems weigh individual votes mathematically?

Introduce various voting systems, then analyze the mathematical principles behind each, discussing fairness and potential biases.

Geometry in Art

Research Question:  

How is geometry used to create visual appeal in art?

Explore various art pieces, highlighting the geometric principles employed, and discuss their impact on aesthetics.

The Math Behind Baking

How do ratios in baking recipes affect the final product?

Investigate the importance of maintaining specific ratios in baking recipes and experiment with variations to observe changes in outcomes.

Probability in Card Games

How does understanding probability enhance success in card games like Poker?

Delve into the rules of Poker and then analyze various hands and scenarios using probability principles.

Symmetry in Nature

How is symmetry exhibited in natural formations?

Explore the concept of symmetry mathematically and then identify and analyze its presence in various natural formations like leaves, flowers, and animals.

Mathematics of Music

How do mathematical patterns influence musical scales and rhythms?

Investigate the structure of musical scales, rhythms, and time signatures, highlighting the underlying mathematical patterns.

Simple Interest vs. Compound Interest

How do simple and compound interest methods impact savings over time?

Define both interest methods and then use mathematical modeling to compare their effects on savings over various periods.

The Golden Ratio in Architecture

How is the Golden Ratio applied in iconic architectural designs?

Introduce the concept of the Golden Ratio and then analyze its application in various famous architectural structures.

Mathematics of Juggling

How do mathematical patterns and sequences dictate juggling techniques?

Explore basic juggling techniques and patterns, analyzing the mathematical sequences that jugglers use to maintain rhythm and control.

Each of these topic ideas and RQs is approachable yet offers ample scope for exploration and analysis within the realm of mathematics.

Intermediate topics

For those seeking a bit more challenge without diving into the deep end, the topics below offer a balanced blend of complexity and accessibility.

Here’s a list of 10 average-difficulty IB Math Extended essay topics, each with a research question and a brief description of how to approach it:

Game Theory in Economics

How does game theory provide insights into competitive market behaviors?

Introduce game theory principles and use business world case studies to show strategic decision-making influenced by game theory.

Fractals and Nature

How do fractal patterns manifest in natural phenomena?

Description:  

Delve into the mathematical concept of fractals and explore their appearance in various natural settings, such as coastlines, mountains, and plants.

Mathematics of Population Growth Models

How do mathematical models accurately predict population growth in urban areas?

Introduce population growth models and use real urban area data to validate these models, discussing influencing factors.

Breathe Easy! We’re Handling Your Paper

• Polished Papers : Styled right, glitch-free
• Ask Away : Direct chat with your writer
• Free Goodies : Revisions, title page, and bib
• Fair Prices : Plus a money-back guarantee
• All Human : No AI, just real experts
• Private & Secure : Your details, our secret

Bye-Bye, Burnout!

Slash 15% OFF using the coupon code: BLG15WM

Cryptography and Internet Security

How do modern cryptographic techniques ensure data security on the internet?

Explore the evolution of cryptography, focusing on modern techniques, and discuss their role in ensuring data security in online transactions.

Mathematical Modeling of Epidemics

How can mathematical models predict the spread of infectious diseases?

Introduce basic epidemiological models and analyze their effectiveness in predicting disease spread using real-world data.

Topology and Coffee Cups

How does topology explain the mathematical similarity between a coffee cup and a donut?

Dive into the basics of topology and use it to explain the often-cited comparison between coffee cups and donuts, emphasizing the concept of homeomorphism.

Chaos Theory and Weather Forecasting

How does chaos theory impact the accuracy of long-term weather forecasts?

Introduce chaos theory, then delve into its application in meteorology, discussing the challenges and limitations in predicting weather.

Mathematics Behind Neural Networks

How do mathematical algorithms drive the functioning of neural networks in artificial intelligence?

Explore the structure of neural networks and delve into the mathematical algorithms that enable their learning and functioning.

Optimization Problems in Logistics

How can mathematical optimization improve efficiency in supply chain logistics?

Investigate real-world logistics challenges and demonstrate how mathematical optimization techniques can offer solutions.

Number Theory in Modern Cryptography

How does advanced number theory underpin modern cryptographic techniques?

Delve into number theory concepts and their application in modern cryptographic methods, emphasizing their role in ensuring data security.

These topics and research questions offer a balanced blend of complexity and accessibility, making them suitable for students seeking a moderate challenge in their Math Extended essay.

Advanced topics (with potential for higher rewards)

For the brave hearts ready to dive deep, these topics are challenging but can yield impressive results when tackled effectively.

The list of 10 challenging IB Math Extended essay ideas, each with a research question and a brief description:

Navier–Stokes Existence and Smoothness

What are the mathematical implications of the unsolved Navier–Stokes existence and smoothness problem in fluid dynamics?

Delve deep into the Navier–Stokes equations, exploring their significance in fluid dynamics and the challenges surrounding their unsolved problems.

Riemann Hypothesis and Prime Numbers

How does the Riemann Hypothesis relate to the distribution of prime numbers?

Investigate the Riemann Hypothesis, its historical context, and its profound implications for the distribution of prime numbers.

Quantum Cryptography and Key Distribution

How does quantum cryptography enhance security in key distribution?

Explore the principles of quantum mechanics applied to cryptography, focusing on the advantages and challenges of quantum key distribution.

Elliptic Curves and Cryptography

How do elliptic curves underpin modern cryptographic techniques?

Dive into the mathematics of elliptic curves and their pivotal role in modern cryptographic algorithms.

Four Color Theorem and Graph Theory

How does the Four Color Theorem demonstrate the complexities of graph coloring?

Investigate the history and proof of the Four Color Theorem, discussing its implications and challenges in graph theory.

Complex Analysis in Quantum Mechanics

How does complex analysis influence the mathematical foundations of quantum mechanics?

Delve into the principles of complex analysis and explore their applications and significance in quantum mechanics.

Twin Prime Conjecture

What are the implications and challenges of the Twin Prime Conjecture in number theory?

Investigate the Twin Prime Conjecture, its history, and its significance in the realm of number theory.

Knot Theory and DNA Replication

How does knot theory provide insights into the process of DNA replication?

Explore the mathematical intricacies of knot theory and its applications in understanding the complexities of DNA replication.

Ergodic Theory and Thermodynamics

How does ergodic theory connect with the principles of statistical thermodynamics?

Dive deep into ergodic theory, exploring its foundational concepts and its connections to statistical thermodynamics.

Langlands Program and Number Theory

What is the Langlands Program, and how does it seek to unify different areas of mathematics?

Investigate the Langlands Program, its objectives, and its profound implications in unifying disparate areas of mathematics, particularly number theory.

These topics are undoubtedly challenging but can yield impressive results when tackled effectively. They offer a deep dive into complex mathematical concepts and theories, making them ideal for students aiming for the highest grades in their Math Extended essay.

Get extended essay help

Before continuing to the next block, I suggest our Math EE writing or editing services . Our company has been working with numerous IB students and helped them write custom IB extended essays.

Need a Dope Paper Written? We've Got Your Back!

Join a team of happy IB students who have followed the IB extended essay rubric and criteria and gained better results with Writing Metier and our Math assignments help !

Overused Math EE topics (proceed with caution)

While these topics are popular, they’ve been explored extensively. If you choose one, ensure you bring a fresh perspective:

• The Fibonacci Sequence in Nature.
• Pi and its Mysteries.
• The Monty Hall Problem.
• The Birthday Paradox.
• Exploring Pascal’s Triangle.
• The Mathematics of the Pyramids.
• The Tower of Hanoi Problem.
• Benford’s Law.
• The Four Color Theorem.
• The Mathematics of the Rubik’s Cube.

Keep in mind that selecting such a topic will require hard work to find a new custom angle of research and sometimes might not lead to higher grades .

In Conclusion

Alright, IB champs, that wraps up our curated selection of Math EE topics, each with its unique flavor and challenge. The topic is just the starting point. The real magic happens when you infuse it with your insights, analysis, and unique perspective. 

Mathematics isn’t just about numbers; it’s about stories and trips within the confines of equations and graphs. As you gear up to tackle your Extended essay, keep that passion alive, keep questioning, and most importantly, enjoy the process. 

Don’t forget to reserve extra space because it may take time to write an extended essay . And if you’re ever in doubt, remember that Writing Metier is here to guide you through every step of the process.

Free topic suggestions

Vasy kafidoff.

Vasyl Kafidoff is a co-founder and CEO at WritingMetier. He is interested in education and how modern technology makes it more accessible. He wants to bring awareness about new learning possibilities as an educational specialist. When Vasy is not working, he’s found behind a drum kit.

Similar posts

Economics extended essay topic ideas for ib students.

This article serves as a launchpad for students crafting their Economics Extended Essays, offering a diverse array of topics that span from the intricacies of microeconomic market structures to the broad strokes of macroeconomic policy. It provides a rich tapestry of ideas, inviting exploration into the complex interplay between economic theory and real-world application across various branches such as labor, environmental, and health economics.

Extended Essay Grading in the IB Program

Check the latest nuances of the IB Extended Essay with Writing Metier. From grading insights to firsthand experiences, we've got your EE queries covered. Let our seasoned team guide you to unlock success in your Extended Essay.

37 IB SL Math IA Topic Ideas that Actually Work!

If you are here because you are stuck with an idea for your IB Mathematics Standard Level (SL) essay topic, you have come to the right place. We understand that the IB Math is the toughest subject (no kidding, we feel you) and therefore, we are here to aid you as much as we can.

IB Math AA vs. IB Math AI: What Are The Differences?

Curious about the distinctions between IB Math AA and IB Math AI? Discover the key differences between these International Baccalaureate (IB) math courses in this comprehensive article. From curriculum structure to content focus, we delve into the unique features of each program, helping you make an informed decision about which course aligns best with your academic goals. Uncover the dissimilarities between IB Math AA and IB Math AI, empowering yourself with the knowledge to choose the right path for your mathematical journey.

Math IA Grading Boundaries from Writing Metier Perspective

Math IA grading criteria in the IB program. Dive into the nuances from 'Outstanding' to 'Insufficient'. Grasp a deeper understanding of what each grade truly signifies, learn the benchmarks for each level, and gather insights on how to aim for and achieve excellence in your assessments

IB Math AA Topic Ideas | Explained

Discover valuable tips for composing an exceptional Math AA topic in this comprehensive guide. If you need help with topic suggestions or writing your Math AA from scratch, our experienced IB writers are here to assist. Don't miss out on expert advice for crafting a standout Math AA topic!

We rely on cookies to give you the best experince on our website. By browsing, you agree to it. Read more

Math Essay Examples and Topics

Mathematics: discovered or created, the importance of geometry in our daily life.

• Words: 1414

Leonardo Da Vinci and His Contribution to the Development of Mathematics

• Words: 1413

Debate on Mathematics: An Art or a Science

• Words: 2719

History of Algebra Brief Overview

Statistics abuse: how, why, and when.

• Words: 2836

Statistics: Chi-Square Test and Regression Analysis

• Words: 1989

Parabolas and Their Application in the Real Life

Spatial modeling: types, pros and cons, measurements’ standarts, mathematical analysis of the pyramid of the louvre.

• Words: 1523

Pythagorean Theorem: History, Formula, and Proof

• Words: 1524

The Life and Works of Archimedes

• Words: 2513

Arthur Cayley: Life, Career, and Achievements

Order of operations: connecting to real life, the value of mathematics in antonsen’s ted talk, mathematics: the language of nature, leonardo pisano fibonacci’s life and contributions, oblique triangles in everyday life, sofia kovalevskaya’s contributions to math, correlation.

• Words: 1036

Mathematics – Concept of Multiplication

• Words: 1161

The Use of Polynomials in the Real World

Pythagoras theories.

• Words: 1918

Math Functions in Economics

• Words: 2443

Algebra in the Real World and Everyday Life

Linear equations comprehensive study, construction of regular polygons: octagon, bouncing ball as an example of a conic section, exponential and logarithmic functions, applications of algebraic functions in an environmental agency, fundamental theorem of calculus in modern world, optimizing the cross-section of a gutter, fibonacci sequence and related mathematical concepts.

• Words: 2144

Quantitative Approach to Research

Mathematical and statistical investigation.

• Words: 1798

Fourier Transform: The Behavior of the Image in the Frequency Domain

• Words: 2889

Prime Numbers Role in People’s Life

The formal mathematical language and its importance, the use of mathematics in advertisements, history of calculus: brief review one of the branches of mathematics.

• Words: 1169

Reflection on Statistics Learning Goals

Qualitative research method analysis.

• Words: 1766

Importance of Math During Trip from US to Japan

Implicit differentiation in the business sector, number theory and major contributors to the field.

• Words: 1136

Historical Data Analysis: Various Variables Trends

• Words: 2828

Discrete Probability Distribution

• Words: 1111

Problem Solving Process in Mathematics

Quantitative data analysis, a-level math aqa : specification.

• Words: 4304

Practical Usages of Scientific Notation

The discipline of criminal justice: the use of mathematics, data results of statistics, hamilton-jacobi-bellman equation and linear pearson coefficient, rational functions and their real-world applications, deduction in ancient greece and egypt, mathematical explorations: quantitative reasoning, using the weibull distribution to study failure intensity, the perfect square trinomial and the sum of cubes, compound interest as mathematical fact.

• Words: 3827

Math: Compound Interest as a Future Problem

Sir isaac newton mathematical theory.

• Words: 1051

Pierre de Fermat: One of the Most Prominent Mathematicians

The scientific method isn’t what it used to be.

• Words: 1100

Qualitative research design and methods

A comparison of observations to measurement instruments, t-test discussion, the exponential function in analytic algebra, teaching math: number sense instruction.

• Words: 1191

Algebraic Equations and Graphical Representations

History of pythagoras theorem.

• Words: 1370

Investigating Number Systems

• Words: 1117

Roller Coasters: Mathematical Simulation

Real and complex numbers, big o notation: extended definition.

• Words: 1107

Statistical Process in Data Analysis

Measures of central tendency and dispersion, probability: theory and experiment.

• Words: 1138

Calculus-Integration

• Words: 1074

Misconceptions and Errors in Math

Positive and negative association between variables, carl friedrich gauss: mathematician and innovator, charting a career in mathematics: from teaching to actuarial practice.

• Words: 1057

Navigating the Math Maze: A Strategic Policy Framework

• Words: 1226

Aspects of the Mathematics Problem Solving

• Words: 1154

The Life Accomplishments of John von Neumann

Report: tow tank statistical analysis.

• Words: 1409

Determining the Area of the Isosceles Triangles

Mathematical operations with positive and negative numbers.

• Words: 1460

A Random Variable and Binomial Experiment

Evaluating the effectiveness of an instructional design.

• Words: 1210

Determining the Strongest Predictors of Kappa Number in Kraft Pulp

The genesis of mathematics storytelling: god’s own, multiple linear regression critique, mathematics: problem-solving tasks, the spicp-ms approach: paraphrasing, articulation principle in solving algebra problems, using mathematics in trading metrics, math: a differential calculus lesson analysis, why casino always wins: a mathematician’s view, finding a hypotenuse of an ipad pro tablet, functional mathematics implementation, the central limit theorem and its applications, the pythagorean theorem and its origin, math: aspects of hiv modeling, researching of advanced forecasting methods, chapter 5 of weapons of math destruction by o’neil, the concept of coterminal angles, sophie germain’s story of a woman mathematician, a real-world linear regression model.

• Words: 1400

Mathematician John Wilder Tukey’s Biography

Dangers of false representation in mathematics.

• Words: 1438

Slope Desciption and Necessity

Thinking in terms of vectors in daily life, physiologically-structured population models and their ordinary differential equations reduction, mathematical biology: explaining population extinction, statistical and stochastic modeling applied to social processes.

• Words: 1666

Probability Theory: Descriptive Statistics

Math assignment: graph visualization.

IvyPanda uses cookies and similar technologies to enhance your experience, enabling functionalities such as:

• Basic site functions
• Ensuring secure, safe transactions
• Secure account login
• Remembering account, browser, and regional preferences
• Remembering privacy and security settings
• Analyzing site traffic and usage
• Personalized search, content, and recommendations
• Displaying relevant, targeted ads on and off IvyPanda

Please refer to IvyPanda's Cookies Policy and Privacy Policy for detailed information.

Certain technologies we use are essential for critical functions such as security and site integrity, account authentication, security and privacy preferences, internal site usage and maintenance data, and ensuring the site operates correctly for browsing and transactions.

Cookies and similar technologies are used to enhance your experience by:

• Remembering general and regional preferences
• Personalizing content, search, recommendations, and offers

Some functions, such as personalized recommendations, account preferences, or localization, may not work correctly without these technologies. For more details, please refer to IvyPanda's Cookies Policy .

To enable personalized advertising (such as interest-based ads), we may share your data with our marketing and advertising partners using cookies and other technologies. These partners may have their own information collected about you. Turning off the personalized advertising setting won't stop you from seeing IvyPanda ads, but it may make the ads you see less relevant or more repetitive.

Personalized advertising may be considered a "sale" or "sharing" of the information under California and other state privacy laws, and you may have the right to opt out. Turning off personalized advertising allows you to exercise your right to opt out. Learn more in IvyPanda's Cookies Policy and Privacy Policy .

• Services Paper editing services Paper proofreading Business papers Philosophy papers Write my paper Term papers for sale Term paper help Academic term papers Buy research papers College writing services Paper writing help Student papers Original term papers Research paper help Nursing papers for sale Psychology papers Economics papers Medical papers Blog

166 Extraordinary Math Research Topics For Your Papers

Math research topics cover various genres from which students can choose. Many people think that a research project on a math topic is dull. However, mathematics can be a wonderful and vivid field. Since it’s a universal language, mathematics can describe anything and everything, from galaxies that orbit each other to music. However, the broad nature of this study field also makes selecting a research paper difficult. That’s because learners want to pick interesting topics that will impress educators to award them top scores. This article lists the best math research paper topics. It’s useful because it inspires students to select or customize topics for their academic essays without much struggle.

What Are The Different Types Of Math?

As hinted, math covers several genres. Here are the primary types of mathematics:

Geometry: It’s a math branch that deals with the shapes, size, and relative position of figures. Many people consider geometry a practical math branch because it examines figures, shapes, sizes, and features of various entities, including parts like solids, lines, surfaces, lines, and angles. Algebra: It assists in solving equations and manipulating symbols. This branch helps students represent unknown quantities with alphabets and use them alongside numbers. Calculus: This area is vital in determining rates of change, such as velocity and acceleration. Arithmetic: Arithmetic is the most common and oldest math branch, encompassing basis number operations. These operations include subtraction, addition, divisions, and multiplications, and some schools shorten it as BODMAS. Statistics and Probability: They help analyze numerical data to make predictions. Probability is about chances, while statistics entails handling different data using various techniques. Trigonometry: It assists in calculating angles and distances between points. It mainly deals with triangles’ relationships, sides, and curves.

Now that you understand the types of mathematics, it’s easier to select a suitable research topic. The following are some of the best topic ideas in math. 

 Undergraduate Math Research Topics

Maybe you’re pursuing your undergraduate studies. However, you have challenges comprehending math topics, yet the professor expects you to write a superior paper. In that case, here’s a list of engaging research topics in math to consider for your essays.

• An in-depth comprehension of the meaning of discrete random variables in math and their identification
• Math evolution- Comprehending the Gauss-Markov
• Primary math theorems- Investigating how they work
• Continuous stochastic process- Exploring its role in the math process
• Analyzing the Dempster-Shafer theory
• The application of the transferable belief model
• Exploring the use of math in artificial intelligence
• The application of mathematics in daily life
• Algebra and its history
• Math and culture- What’s the relationship?
• How drawing and painting could help with mathematics
• Ways to boost math interest among learners
• The social and political significance of learning mathematics
• Circles and their relevance in mathematics
• Challenges to math learning in public schools
• Prove the use of F-Algebras
• Understanding the meaning of abstract algebra
• Discuss geometry and algebra
• How acute square triangulation works
• Discuss the essence of right triangles
• Why non-Euclidean geometry should be compulsory for math students
• Investigating number problems
• Discuss the meaning of Dirac manifolds
• How geometry influences chemistry and physics
• Riemannian manifolds’ application in the Euclidean space

These are exciting math topics for undergraduate students. Nevertheless, prepare adequate time and resources to investigate any of these titles to draft a winning essay. You might have to provide theoretical and practical assessments when writing your essay.

Math Research Topics for High School Learners

Maybe your high school teacher asked you to write a research paper. Choosing a familiar topic is an excellent way to get a high grade. Here are some of the best math research paper topics for high school.

• How to draw a chart representing the financial analysis of a prominent company over the last five years
• How to solve a matrix- The vital principles and formulas to embrace
• Exploring various techniques for solving finance and mathematical gaps
• Discount factor- Why it’s crucial for learners and ways to achieve it
• Calculating the interest rate and its essence in the banking industry
• Why imaginary numbers are important
• Investigating the application of math in the workplace
• Explain why learners hate mathematics teachers
• What makes math a complex subject?
• Is making math compulsory in high school a good thing?
• How to solve a dice question from a probability perspective
• Understanding the Binomial theorem and its essence
• Investigating Egyptian mathematics
• Hyperbola- Understanding it and its use in math
• When should students use calculators in class?
• How to solve linear equations
• Is the Pythagoras theorem important in math?
• The interdependence between math and art
• Philosophy’s role in math
• Numerical data overview

High school learners can pick any of these titles and develop them into an essay. Nevertheless, they should prepare to spend some time investigating their topics to write pieces that will impress their educators. Titles that address math history and its influence on education can also suit high school students. However, learners should select titles that fulfil the academic requirements set by the educators.

Applied Math Research Topics

As a branch, applied math deals with mathematical methods and their real-life applications. These methods are manifest in engineering, finance, medicine, biology, physics, and others. Here are some of the exciting topics in this field.

• Dimensions for examining fingerprints
• Computer tomography and its significance
• Step-stress modelling- What is its importance?
• Explain the essence of data mining- How does it benefit the banking sector?
• A detailed examination of nonlinear models
• How genes discovery helps determine unhealthy and healthy patients
• Algorithms and their role in probabilistic modelling
• Mathematicians and their importance in robots’ development
• Mathematicians’ role in crime prevention and data analysis
• The essence of Law of Motion by Isaac in real life
• The importance of math in energy conservation
• Math and its role in quantum theory
• Analyzing the Lorentz symmetry features
• Evaluating the processing of the statistical signal in detail
• Explain the achievement of Galilean Transformation

These are exciting ideas to explore when writing a research paper in applied math. Nevertheless, take your time to carefully and extensively research your preferred title to write a high-quality essay. Students should also note that some topics in this category require specialized knowledge to write superior papers.

It’s a challenge to write a paper for a high grade. Sometimes every student need a professional help with college paper writing. Therefore, don’t be afraid to hire a writer to complete your assignment. Just write a message “Please, write custom research paper for me” and get time to relax. Contact us today and get a 100% original paper. 

Interesting Math Research Topics

Maybe you’re among the learners that prefer working with exciting ideas. In that case, this category has topics that will interest you.

• The uses of numerical analysis in machine learning
• Foundations and philosophical problems
• Convex versus Concave in geometry
• Homological algebra- What is its purpose?
• Is math useful in cryptography
• Probability theory and random variable
• Functional analysis- What are its four conditions?
• Vector calculus versus multivariable
• Mathematics and logicist definitions
• Ways to apply the number theory in daily life
• Studying complex math equations
• How to calculate mode, median, and mean
• Understanding the meaning of the Scholz conjecture
• The definition of the past correspondence problem
• Computational maths- What are its classes?
• Multiplication table and its importance
• What the Boolean satisfiability problem means for a learner
• Understanding the linear speedup theory in mathematics
• The Turing machine description
• Understanding the Markov algorithm
• Investigating the similarities and differences between Buchi automation and Pushdown automation
• What is the meaning of Tree automation?
• Describing the enclosing sphere method and its use in combinations
• Egyptian pyramids and calculus
• Analyzing De Finetti theorem in statistics and probability
• Examining the congruence meaning in math
• Application and purpose of calculus in the banking industry
• Jean d’Alembert’s most famous works
• Boolean algebra- What are its essential elements
• Isaac Newton- His contribution, life, and time in math
• Understanding the meaning of Sphericon
• What is the purpose of Martingales?
• Gauss times, energy, and contributions to math
• Jakob Bernoulli- Exploring his famous works
• A brief history of math

Some learners think writing a math essay is complex and tedious. However, you can find a topic you will enjoy working with throughout the project. These are exciting ideas to explore in research papers. However, prepare to spend sufficient time investigating your chosen title to write a winning paper, although these are generally relaxing titles for math papers and essays.

Math Research Topics for Middle School

Some middle school students worry about the math topics for their research. However, they can choose unique titles that will impress their teachers. Here are some of these ideas.

• The impacts of standard exam curriculum on math education
• Why is learning math so tricky?
• What is the meaning of the commutative ring in algebra?
• The Artin-Wedderburn theorem and its meaning
• How monopolists and epimorphisms differ
• Understanding the Jacobson density theorem
• How linear approximations work
• Root and ratio test definition
• Statistics role in business
• Economic lot scheduling- What does it mean?
• Causes of the stock market crash
• How many traders contribute to the New York Stock Exchange
• The history of revenue management
• Financial signs of an excellent investment
• Depreciation and its odds
• How a poor currency can benefit a country
• How math helps with debt amortization
• Ways to calculate a person’s net worth
• Distinctions in algebra, trigonometry, and calculus
• Discussing the beginning of calculus
• The essence of stochastic in math
• The meaning of limits in math
• Ways to identify a critical point in a graph
• Nonstandard analysis- What does it mean in the probability theory?
• Continuous function description and meaning
• Calculus- What are its primary principles?
• Pythagoras theorem- What are its central tenets?
• Calculus applications in finance
• Theorem value in math
• The application of linear approximations

This list has some of the best titles for middle school learners. But they also require some research to write superior essays. However, finding information on such topics is relatively easy, making them suitable for middle school students.

Math Research Topics for College Students

Maybe you’re pursuing college studies and need a title for a math research paper. In that case, here are exciting titles to consider for your essay.

• What is the purpose of n-dimensional spaces?
• Card counting- How does it work?
• How continuous probability and discrete distribution differ
• Understanding encryption- How Does it work?
• Extremal problems- Investigating them in discrete geometry
• The Mobius strip- Examining the topology
• Why can a math problem be unsolvable?
• Comparing different statistical methods
• Explain the vital number theory concepts
• Analyzing the polynomial functions’ degrees
• Ways to divide complex numbers
• Describe the prize problems with the millennium
• The reasons for the unsolved Riemann hypothesis
• Methods of solving Sudoku with math
• Explain the fractals formation
• Describe the evolution of math
• Explore different types of Tower of Hanoi solutions
• Discuss the uses of Napier’s bones
• With examples, explain the chaos theory
• Why are mathematical equations important all the time?
• Fisher’s fundamental theorem and natural selection- Why are they important?

College professors expect students to draft papers with relevant and valuable information. These are relevant titles for college students. However, they require extensive research to write winning papers.

Cool Math Topics to Research

Maybe you don’t need a complex topic for your research paper. In that case, consider any of these ideas for your essay. If you have a problem writing even with these topics and you’re thinking: “solve my math for me,” you can always reach out to our service.

• How contemporary architectural designs use geometry
• What makes some math equations complex?
• Ways to solve the Rubik’s cube
• Discuss the meaning of prescriptive statistical and predictive analysis
• Understanding the purpose of the chaos theory
• What limits calculus?- Provide relevant examples
• A comparison of universal and abstract algebra- How do they differ?
• The relationship between probability and card tricks
• Pascal’s Triangle- What does it mean?
• Mobius strip- What are its features in geometry?
• Multiple probability ideas- A brief overview
• Discuss the meaning of the Golden Ration in Renaissance period paintings
• How checkers and chess matter in understanding mathematics
• Ways to measure infinity
• Evaluating the Georg Contor theory
• Are hexagons the most balanced shapes in the world?
• The Koch snowflake- Explain the iterations
• The history of various number types and their use
• Game theory use in social science
• Five math types with significant benefits in computer science

These are some of the most excellent math education research topics. However, they also require extensive research to write high-quality papers.

Enlist the Best College Research Paper Writing Service

Perhaps, you have a topic for your paper but not the time to write a winning piece. Maybe you’re not confident in your research, analytical, and writing skills. Thus, you’re unsure that you can write an essay that will compel your educator to award you the highest grade in your class. Well, you’re not the only one. Many students seek cheap research papers due to varied reasons. Whether it’s limited time and resources or a lack of the necessary skills and experience in academic paper writing, our crew can help you. We offer affordable college paper writing services and help in various math branches. Our experts can assist you if you need help with math research topics for high school students, college, or undergraduates. We are a professional team with a reputation for providing the best-rated academic writing assistance. Whether in university, college, or high school, our crew will offer the service you need to excel academically. Contact us now for cheap and reliable help with your academic essays.

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Save my name, email, and website in this browser for the next time I comment.

Terms & Conditions Loyalty Program Privacy Policy Money-Back Policy

Copyright © 2013-2024 MyPaperDone.com

• Customer Reviews
• Extended Essays
• IB Internal Assessment
• Theory of Knowledge
• Literature Review
• Dissertations
• Essay Writing
• Research Writing
• Assignment Help
• Capstone Projects
• College Application
• Online Class

IB Math Extended Essay Topics: 20+ Ideas for Inspiration

by  Antony W

September 3, 2022

Do you feel stuck on searching for and choosing the best IB Math Extended Essay topics? Or maybe you already have a topic for consideration but it isn’t viable enough to fit the scope of the assignment?

You’ve come to the right place.

In this guide, we’ll give you 15+ IB Math ideas that you can use as inspiration to come up with your own topic or modify and investigate further in your extended essay.

What’s the Purpose of IB Math Extended Essay?

An extended essay in mathematics gives you the chance to demonstrate an understanding of any part of the subject.

You can give an expression on the beauty of mathematics in geometry or fractal theory, the elegance of mathematics in the proving of theorems, and the origin and subsequent development of a branch of mathematics over a period.

The extended essay also allows you to demonstrate the link between the different branches of mathematics and the powerful structures that enable many different problems to be solved by a single theory and the way in which mathematics is applied to real-world situations.

Your essay requires a well-defined and focused research question. An abstract is no longer necessary in an extended essay , but you’re welcome to include it if you believe it will summarizes your strategy to solving the research question and your findings

Math Extended Essay Writing Assistance

While Math opens up an opportunity to explore complex issues beyond the IB Diploma course , the subject can be extremely challenging for some IB students.

If you’re one of the students who chose Math for the Extended Essay project but you find the subject challenging, you can get help online from experts in the subject.

Help for Assessment offers the most  comprehensive Extended Essay help   in Mathematics, even on a topic that you would consider too complex to handle. With our help, you’ll find complex concepts easy to understand, not to mention you’ll get your Math assignment completed on time.

We understand that Math tasks can be costly and involving. However, we’ve made our writing service as affordable as possible, so you can get professional writing help.

We can write you first draft before the first reflection session with your supervisor and equally help you fine-tune the last draft for the final submission.

IB Math Extended Essay Topics

The following are examples of IB Math Extended Essay topics that you might find worth investigating further: 

• What is the return percentage of a certain three-reel slot machine?
• What are the alternatives to Euclidean geometry and what are their practical applications?
• Comparison of population growth models for Country X for the past n years, with projections for the future.
• The exploration of geometric series in musical instruments, such as the fret position on a guitar
• How many convex polygons can you construct from seven tangram pieces?
• An examination of the alteration of a message's truthful substance during transmission between persons
• Is there a connection between the golden ratio and human’s perception on natural beauty, with a focus on the human face and form?
• Is there a relationship between SAT scores and school test results/GPA?
• Leibniz and Newton independently developed calculus at around the same time. Compare their techniques and analyze which notation is currently more prevalent.
• What is the Binomial Theorem, and how has it contributed to human history?
• Complex number problem-solving techniques: What types of real-world issues do complex numbers assist solve?
• Applying Newton's Forward Difference Formula to predict the number of triangles created by subdividing the sides of an equilateral triangle n times.
• RSA Public Key Cryptography's use of modular arithmetic and huge prime integers to achieve anonymity
• Investigating the link between Pascal's Triangle and the Fibonacci sequence
• How can mathematical modeling that employs differential equations determine population growth patterns for a predator and its prey?
• How can the population of cells be determined throughout time? Which mathematical model approximates an actual experiment more precisely?
• A study of Riemann Sums (conventional integration to get areas) and Numerical Integration
• Vedic Mathematics: an investigation of its effectiveness and exploration of its applications
• How are Laplace transforms utilized in the solution of second-order differential equations?
• A statistical examination of the impact of background music on pupils' short-term memory ability
• Analytical and geometric formulations of parabolic and cubic Bezier curves as used in computer graphics software
• A quantitative analysis of the efficacy of two herbs for treating impetigo skin condition
• A study of the nature of beats and the relative consonance of pure-tone dyads
• The link between logical-mathematical intelligence and academic achievement at the undergraduate level
• A study of the link between a bond's coupon rate, yield to maturity, and its clean price
• Using the addition of sine curves to analyze the harmony of Chinese and Western musical scales
• The correlation between students' attitudes toward mathematics and their mathematical performance
• How near is the approximation of the Taylor Series to the original function
• What criteria determine whether the movement of employees on a building site achieves "equilibrium"?
• The efficacy of an English Tuition Program in enhancing the English skills of participants
• A statistical examination of the causes of fatal traffic accidents throughout the holiday season
• Does studying a third language have any influence on the short-term memory retention of lower secondary students?

Keep in mind that this list is not exhaustive by any means. So if none of these topic ideas appeals to you, doing additional research can make a difference.

Related Reading

• The Complete Guide for IB Math Extended Essay
• Get a List of Psychology Extended Essay Topics Here
• Learn More About Physics Extended Essay Assignment

Some Tips to Help You Choose a Relevant Math EE Topic

You can write an extended essay in math on any subject with a mathematical focus. Because IB doesn’t limit the assignment to mathematical theories, you may select mathematical themes from engineering, sciences, and the social sciences.

Statistical analyses of experimental results from other disciplines are also appropriate, as long as they focus on the modeling method and address the limits of the results.

A topic chosen from the history of mathematics may also be acceptable, provided you bring out a clear progression of mathematical growth.

Focusing on the lives of mathematicians or their personal rivalry would be irrelevant and would not score highly on the grading criteria.

Notably, the evaluation criteria provide points for the nature of the inquiry and the extent to which reasoned arguments are suitable for a research issue.

You need to avoid selecting a topic that generates a trivial research question or is insufficiently concentrated to permit suitable presentation in an essay of the right length.

Typically, you will have to challenge yourself to either extend their knowledge beyond the Diploma Program course or apply techniques learned in their mathematics course to the modeling of an adequately chosen topic.

Final Thoughts

One of the most important thing to keep in mind once you find a suitable Math EE topic is that you will be working on an essay, not a research article for a journal of advanced mathematics.

Also, no finding, no matter how remarkable, should appear in your work without proof of your actual understanding of it. 

About the author 

Antony W is a professional writer and coach at Help for Assessment. He spends countless hours every day researching and writing great content filled with expert advice on how to write engaging essays, research papers, and assignments.

• Google Meet
• Mobile Dialer

Resent Search

Management Assignment Writing

Technical Assignment Writing

Finance Assignment Writing

Medical Nursing Writing

Resume Writing

Civil engineering writing

Mathematics and Statistics Projects

CV Writing Service

Essay Writing Service

Online Dissertation Help

Thesis Writing Help

RESEARCH PAPER WRITING SERVICE

Case Study Writing Service

Electrical Engineering Assignment Help

IT Assignment Help

Mechanical Engineering Assignment Help

Homework Writing Help

Science Assignment Writing

Arts Architecture Assignment Help

Chemical Engineering Assignment Help

Computer Network Assignment Help

Arts Assignment Help

Coursework Writing Help

Custom Paper Writing Services

Personal Statement Writing

Biotechnology Assignment Help

C Programming Assignment Help

English Essay Writing

MATLAB Assignment Help

Narrative Writing Help

Report Writing Help

Get Top Quality Assignment Assistance

Online Exam Help

Macroeconomics Homework Help

Change Management Assignment Help

Operation management Assignment Help

Strategy Assignment Help

Human Resource Management Assignment Help

Psychology Assignment Writing Help

Algebra Homework Help

Best Assignment Writing Tips

Statistics Homework Help

CDR Writing Services

TAFE Assignment Help

Auditing Assignment Help

Literature Essay Help

Online University Assignment Writing

Economics Assignment Help

Programming Language Assignment Help

Political Science Assignment Help

Marketing Assignment Help

Project Management Assignment Help

Geography Assignment Help

Do My Assignment For Me

Business Ethics Assignment Help

Pricing Strategy Assignment Help

The Best Taxation Assignment Help

Finance Planning Assignment Help

Solve My Accounting Paper Online

Market Analysis Assignment

4p Marketing Assignment Help

Corporate Strategy Assignment Help

Project Risk Management Assignment Help

Environmental Law Assignment Help

History Assignment Help

Geometry Assignment Help

Physics Assignment Help

Clinical Reasoning Cycle

Forex Assignment Help

Python Assignment Help

Behavioural Finance Assignment Help

PHP Assignment Help

Social Science Assignment Help

Capital Budgeting Assignment Help

Trigonometry Assignment Help

Java Programming Assignment Help

Corporate Finance Planning Help

Sports Science Assignment Help

Accounting For Financial Statements Assignment Help

Robotics Assignment Help

Cost Accounting Assignment Help

Business Accounting Assignment Help

Activity Based Accounting Assignment Help

Econometrics Assignment Help

Managerial Accounting Assignment Help

R Studio Assignment Help

Cookery Assignment Help

Solidworks assignment Help

UML Diagram Assignment Help

Data Flow Diagram Assignment Help

Employment Law Assignment Help

Calculus Assignment Help

Arithmetic Assignment Help

Write My Assignment

Business Intelligence Assignment Help

Database Assignment Help

Fluid Mechanics Assignment Help

Web Design Assignment Help

Student Assignment Help

Online CPM Homework Help

Chemistry Assignment Help

Biology Assignment Help

Corporate Governance Law Assignment Help

Auto CAD Assignment Help

Public Relations Assignment Help

Bioinformatics Assignment Help

Engineering Assignment Help

Computer Science Assignment Help

C++ Programming Assignment Help

Aerospace Engineering Assignment Help

Finance Assignment Help

Conflict Management Assignment Help

Paleontology Assignment Help

Commercial Law Assignment Help

Criminal Law Assignment Help

Anthropology Assignment Help

Biochemistry Assignment Help

Get the best cheap assignment Help

Online Pharmacology Course Help

Urgent Assignment Help

Paying For Assignment Help

HND Assignment Help

Legitimate Essay Writing Help

Best Online Proofreading Services

Need Help With Your Academic Assignment

Assignment Writing Help In Canada

Assignment Writing Help In UAE

Online Assignment Writing Help in the USA

Assignment Writing Help In Australia

Assignment Writing Help In the UK

Scholarship Essay Writing Help

University of Huddersfield Assignment Help

Ph.D. Assignment Writing Help

Law Assignment Writing Help

Website Design and Development Assignment Help

University of Greenwich Assignment Assistance in the UK

University of Warwick Assignment Writing Help

Academic Counselling Sessions

Academic Counselling and Sample Service

Professional Proofreading Services

Technical Assistance

Counseling Sample & Proofreading

Agroecology Assignment Help

MBA Assignment Help

260 Research Topics For Math Papers

Mathematics research topics span a range of categories that students are able to select. Some people think that doing research about math is boring. But math can be an amazing and exciting subject. Because mathematics is a language, universal mathematics can explain anything and anything, from galaxies that are orbiting each other to music.

But the vastness of this field of study also creates the task of selecting a research paper difficult. It's because students need to select topics that can convince teachers so that they can award them the highest marks. This article provides the top research paper topics for math. It's helpful because it encourages students to pick or choose subjects for their academic essays without much difficulty.

What Are The Different Types Of Math?

As you can see, mathematics is a broad subject that covers a range of disciplines. Here are the most common kinds of math:

• Geometry: It's a mathematical branch that deals with dimensions, shapes and positions of figures. Many consider geometry to be an appropriate math field due to the fact that it examines figures' sizes, shapes and the characteristics of different objects, such as solids, lines and surfaces, lines, angles, and solids.
• Algebra is helpful in solving problems and manipulating symbols. This branch assists students in representing the unknown with letters and applying them to numbers.
• Calculus, The area of calculus is essential in determining rates of change, including acceleration and velocity.
• Arithmetic: Arithmetic is the most popular and oldest maths discipline, which covers base operations with numbers. These include subtraction, divisions, additions multiplications, and some schools even shorten it to BODMAS.
• Statistics and Probability assist analyze numerical data in order to create predictions. Probability is about chance, while statistics is about managing different types of data by employing various methods.
• Trigonometry is a method of measuring the angles of angles and also distances between two points. It mostly deals with triangles' relationship to sides, angles, and curves.

Fun Math Topics

If you're struggling to begin creating your essay, here is an array of fun and interesting math-related topics for you to consider. They'll definitely keep you engaged and make writing enjoyable. Additionally, engaging math topics can demonstrate to everyone that math can be fun and even humorous.

• The relationship between art and mathematics - studying the Golden Ratio in Renaissance-era paintings.
• A review of the set theory developed by Georg Cantor.
• The best methods to learn math concepts and develop the ability to recognize numbers.
• Different ways to think about probability are examined through the analysis of card tricks.
• Chess and checkers use math in leisure activities.
• In computer science, there are five distinct forms of math.
• Practical applications to The Pythagorean Theorem.
• An examination of the various mathematical logic theories.
• Game theory is a key concept within social sciences.
• Mathematical definitions of the concept of infinity and the best way to quantify it.
• What's the rationale behind math problems that cannot be solved?
• A description of median, mean media, mode and mean using maths grades in the classroom.
• The geometry and properties of geometry and properties of a Mobius strip.
• Utilizing truth tables to demonstrate the logic behind the propositional phrase.
• The relation to Pascal's Triangle as well as The Binomial Theorem.
• The use of various numbers: the history.
• The use of differential geometry in contemporary architecture.
• A mathematical method to solve the problem of the Rubik's Cube.
• Comparative analysis of prescriptive and predictive statistical analysis.
• The explanation of the various iterations that comprise the Koch snowflake.
• The significance of calculation limits.
• Hexagons are the most balanced form throughout the world.
• The development of chaos theories' patterns.
• What were the contributions of Euclid to mathematics?
• The differences between abstract and universal algebra.

Math Essay Topics for High School

When you write a paper on math in order to prove that you are able to comprehend the concept, this can be beneficial in the event that you have to prepare for an examination. Pick a topic from this section and choose the topics you'd like to talk about.

• Define what we require in Pythagoras' theorem.
• What is hyperbola?
• Define the distinction between the two.
• What is the best time to make use of a calculator?
• Make connections with maths and arts.
• How can you solve the linear equation?
• Discuss the best way to calculate the probabilities that two dice will be rolled.
• Do you see a connection between math and philosophy?
• What maths do you employ in your daily routine?
• What is numeric data?
• Define how to use the binomial theory.
• What is the property of multiplication that is distributive?
• Explore the key concepts in ancient Egyptian mathematics.
• Why do so many students loathe math?
• Should mathematics be required in school?
• How do you do an equivalent transformation?
• Why do we require imaginary numbers?
• How do you determine the slope of an arc?
• What's the distinction between cosine, sine and the term tangent?
• What is the cross-product of two vectors?
• What are we using differential equations to solve?
• Find out ways to determine the value of the mean.
• Define linear growth.
• Give examples of various kinds of numbers.
• How do you find a solution to the problem of a matrix?

College Math Topics for a Paper

Sometimes you require more than just formulas and formulas to communicate a complex concept. Knowing how to present yourself is so important. This is especially important in college-level math.

• What are we looking for to use n-dimensional spaces?
• Define how counting cards is done.
• Define the difference between a discrete as well as a continuous distribution of probability.
• What is the function of encryption?
• Describe extremal problems in discrete geometry.
• What is the reason that makes the math problem insolvable?
• Study the topology of a Mobius strip.
• What is K-theory?
• Examine the fundamental issues of computational geometry.
• Discuss the application of set theory.
• What are we looking for in Boolean functions?
• Discuss the major topological concepts of modern math.
• Study what properties are inherent in a rotating matrix.
• Examine the practical applications of game theory.
• How do you solve a Rubik's Cube mathematically?
• Discuss the mathematics that lies behind the Koch snowflake.
• Define the paradox of Gabriel's Horn.
• How do fractals develop?
• Find a solution to Sudoku by using math.
• What is the reason why the Riemann hypothesis is not solved?
• Discuss the Millennium Prize Problems.
• How do you split complicated numbers?
• Examine the degree of polynomial functions.
• What are the most significant concepts of number theory?
• Examine the various types of statistical techniques.

Mathematical Advanced Topics to Write a Paper

If you've successfully completed the tests of basic math, then you are able to move on to the advanced portion. This is where you will find topology, combinatorics and mathematical logic , and computational math.

• What is an abelian group?
• Define the orbit-stabilizer theorem.
• Discuss the factors that make the Burnside issue significant.
• What are the fundamental characteristics that Holomorphic functions have?
• What is Cauchy's integral theorem? Result in the integral formula of Cauchy?
• What do the two Picard theorems connect to each with each
• What is known as one of the Fourier series?
• Give an example of an algorithm that you have used to aid in machine learning.
• Check out the different kinds of knapsack challenges.
• What is the minimal overlap problem?
• Explain your understanding of the Bernoulli scheme.
• Provide a formal definition of the Chinese restaurant procedure.
• Examine the map of logistics in connection to chaos.
• What do we require for the Feigenbaum constants?
• Define an equation of difference.
• Define the purpose of the Fibonacci sequence.
• What is an unintentional transfer?
• Examine Riemann with the Ruelle Zeta functions.
• How can you make use of elementary embeddings in the model theory?
• Examine the issue using the wholeness axiom, as well as Kunen's theory of inconsistency.
• What is Lie algebra applied in Physics?
• Define the various algebraic cycles.
• What is the reason we require cohomology groups that are stale in order to compute algebraic curves?
• What is non-Euclidean geometry made up of?
• How do two lines become ultraparallel?

Math Research Topics for a Paper

Selecting the right subject is essential for the success of your writing a research essay in mathematics. It must be challenging enough to convince you. However, it shouldn't exceed the limits of your knowledge. If possible, remain within your field of expertise.

• Write about the development of calculus.
• What makes math problems that aren't solved important?
• Find out the reasons behind that gender disparity in maths students.
• What are the most difficult mathematical questions that are asked in the present?
• Study the concept of spaces for the operator.
• What can we do to design the train schedules for all of the nation?
• What are the factors that make a number large?
• What is the best way to make infinities come in different sizes?
• What is the most effective mathematical strategy to be successful in the game Go?
• Examine natural patterns of random walks in biology.
• Define the type of math that was utilized in the ancient times of Persia.
• Discuss how the Iwasawa theory is related to the modular form.
• What are the roles of prime numbers in encryption?
• What was the process through which the field of mathematics developed?
• Explore the various options for Tower of Hanoi solutions.
• Find Napier's bones. How can you make use of them?
• What is the most mathematical method to locate someone who's lost in the maze?
• Examine the Traveling Salesman Problem. Can you find a new strategy?
• Explain how barcodes work.
• Examine some real-life instances of the chaos theory. What is the best way to define them mathematically?
• Check out the impact of different innovative mathematical equations.
• Research the Seven Bridges of Konigsberg. Link the issue to the city you prefer.
• Examine Fisher's basic theorem of natural selection.
• How does quantum computing work?
• Choose a math problem that isn't solved and explain why it is so difficult.

Math Education Research Topics

Many teachers find the most difficult task is keeping the students engaged. When math is involved, it can be particularly difficult. It is essential to make complex concepts simple to comprehend. That's why we must conduct research into math education.

• Examine traditional methods of teaching math with more innovative methods.
• How can you enhance mathematical educational opportunities in the U.S.?
• Discuss ways to encourage girls to take up jobs within STEM fields.
• Is it appropriate to have computer programming taught in high school?
• Determine the main goals for mathematics instruction.
• Find out how you can improve the accessibility of math for students with learning disabilities.
• When do children need to begin practicing simple math?
• Study the impact of gamification on algebra classes.
• What are the benefits students can gain by participating in math competitions?
• What are the advantages of a move away from standard tests?
• Define the root causes of "math anxiety." How do you get rid of it?
• Discuss the political and social significance of mathematics education.
• Define the most pressing concerns in math education for public schools.
• What is the most effective way to encourage children to learn about math?
• What can students do to improve their mathematical thinking outside of class?
• Discuss the advantages of using technology in math classes.
• In what ways is the culture influencing your math education?
• Learn about the history of teaching mathematics.
• Compare math education in various countries.
• What impact does dyscalculia have on students' lives?
• What school subjects could math be incorporated?
• Did a maths degree increase in value in the past few years?
• What are the negatives that come with the Common Core Standards?
• What are the benefits of a blended curriculum for math?
• Discussion of the benefits of Mathcamp.

Algebra Topics for a Paper

The beauty of algebra comes because of its simplicity. It allows us to explain complex issues in small equations.

• Provide an instance of an Induction Proof.
• What do F-algebras serve?
• What are the main issues?
• Highlight the importance of abstract algebra.
• Examine the peculiarities of Fermat's final theorem.
• What are the basic concepts of algebra?
• Examine the connection between geometry and algebra.
• Examine the different features of commutative and noncommutative algebra.
• Why is Brun's steady presence so important?
• How do you factor quadratics?
• Explain Descartes' Rule of Signs.
• What is the quadratic equation?
• Examine the four different types of sequences, and then define the four types of sequences and define.
• Discuss how fractions are divided.
• What is the purpose of logarithms?
• Explain what you mean by Gaussian elimination.
• What is Cramer's rule?
• Learn the distinction between eigenvectors and Eigenvalues.
• Examine your Gram-Schmidt procedure in 2 dimensions.
• Define what you mean by "range" and "domain" in algebra.
• What do you think you can do with determinates?
• Find out more about the history behind the formula for distance.
• Find out the best method to solve word problems in math.
• Check the relationship between the different models of solving equations.
• Find out how Rubik's Cube is related to the concept of group theory.

Geometry Topics for a Research Paper

Space and shapes are the two main components of geometry. Since its beginning in the earliest days, geometry has developed into a significant field of research. The most recent addition to Geometry, called topology, focuses on the effects on an object when you expand, shrink or fold it. It can be quite a wild ride from here.

• What is the nature of Archimedean solids?
• Find real-life uses for a rhombicosidodecahedron.
• What do we study in the field of projective geometry?
• Check out the most popular kinds of transformations.
• Define how acute square triangulation operates.
• Discuss the Borromean Ring configuration.
• Find solutions to Buffon's needle.
• What is special in right triangles?
• Define the concept of Dirac manifolds.
• Examine the different relations between lines.
• What exactly is what is the Klein bottle?
• What is the relationship between geometry and other disciplines, like the sciences of physics and chemistry?
• Explore Riemannian manifolds within Euclidean space.
• What is the best way to demonstrate the angle bisector theorem?
• Conduct a study on M.C. Escher's use of geometry in his.
• Find the right applications for the golden ratio.
• Explain the significance of circles.
• Find out what the ancient Greeks were aware of about geometry.
• What is congruency?
• Examine the various uses of Euler's formula.
• What do CT scans connect to the geometry?
• What is the reason we require the n-dimensional vectors?
• How do you resolve Heesch's issue?
• What are hypercubes?
• Study the use of geometric shapes in Picasso's paintings.

Calculus Topics to Write a Paper on

Calculus can be described as an even more complex algebra. It's a study of the evolution of a system in time, which provides valuable insights into everyday issues. Calculus applications are essential in many areas like sociology, engineering or business.

• What are the main differences between trigonometry and algebra, and calculus?
• Define the notion of limits.
• Define the formulas that are standard to calculate derivatives.
• What are the most important elements in the graph?
• Assess the validity of L'Hopital's rules.
• What is the definition of the curves' area?
• What is the basis of calculus?
• What is multivariate calculus?
• Discuss the usage of Stokes Theorem.
• What do Leibniz's integral rules stipulate?
• What's the Ito stochastic integral?
• Examine the impact of non-standard analysis on probability theory.
• Study the history of calculus.
• Who was Maria Gaetana Agnesi?
• Define a continuous function.
• What is the most fundamental mathematical theorem in calculus?
• How do you determine your Taylor sequence of a given function?
• Discuss the best ways to fix Runge's issue.
• Discuss the extreme value theorem.
• What are we looking for the predicate calculus to do?
• Which are the linear approximations?
• What happens when an integral becomes in error?
• Describe the Ratio and Root Tests.
• How do rings function?
• Where can we apply math in real-world scenarios?

Business Math Topics to Write About

You don't need to be the owner of an enterprise to be able to appreciate business math. The topics include everything from credit and loans to insurance taxes and investments. Even even if you're no mathematician, you can still use it to manage your financial affairs. Do you find this intriguing?

• What are the most important abilities required to be a successful business manager?
• How do you calculate the interest rate?
• Compare consumer and business math.
• What's the definition of a discount percentage?
• How can you determine if an investment is a reasonable one?
• When is it appropriate to make a payment on a loan by taking another loan?
• Find financing options that anyone can benefit from.
• What is the process behind critical path analysis? Perform?
• Define how loans work.
• What areas of work use operations research?
• What do companies make of the use of statistics?
• What is the economic lot scheduling issue?
• Check out the various uses of chart types.
• What is the cause of a crash in the stock market?
• How do you determine the net value at present?
• Discover the rich history of revenue management.
• What are the best times to use multi-period models?
• Define the effects of depreciation.
• Are annuities an investment that is worth it?
• Could the U.S. financially benefit from eliminating the penny?
• What was the cause of what caused the United States housing crash in 2008?
• How should the sales tax be calculated?
• Explain the concept of markdowns and markups.
• Find out the maths behind debt amortization.
• What distinguishes a mortgage from a mortgage?

Top 10 Best Universities Ranking list in India 2022

Generic Conventions: Assignment Help Services

Research Paper Topics For Medical

Top 5 Resources for Writing Excellent Academic Assignments

How to Write a Literature Review for Academic Purposes

Tips for Writing a killer introduction to your assignment

How To Write A Compelling Conclusion For Your University Assignment

Research Papers Topics For Social Science

Best 150 New Research Paper Ideas For Students

7 Best Plagiarism Checkers for Students And Teachers in 2024

Enquiry form.

Extended Essay: Group 5: Mathematics

• General Timeline
• Group 1: English Language and Literature
• Group 2: Language Acquisition
• Group 3: Individuals and Societies
• Group 4: Sciences
• Group 5: Mathematics
• Group 6: The Arts
• Interdisciplinary essays
• Six sub-categories for WSEE
• IB Interdisciplinary EE Assessment Guide
• Brainstorming
• Pre-Writing
• Research Techniques
• The Research Question
• Paraphrasing, Summarising and Quotations
• Writing an EE Introduction
• Writing the main body of your EE
• Writing your EE Conclusion
• Sources: Finding, Organising and Evaluating Them
• Conducting Interviews and Surveys
• Citing and Referencing
• Check-in Sessions
• First Formal Reflection
• Second Formal Reflection
• Final Reflection (Viva Voce)
• Researcher's Reflection Space (RRS) Examples
• Information for Supervisors
• How is the EE Graded?
• EE Online Resources
• Stavanger Public Library
• Exemplar Essays
• Extended Essay Presentations
• ISS High School Academic Honesty Policy

Mathematics

An extended essay (EE) in mathematics is intended for students who are writing on any topic that has a mathematical focus and it need not be confined to the theory of mathematics itself.

Essays in this group are divided into six categories:

• the applicability of mathematics to solve both real and abstract problems
• the beauty of mathematics—eg geometry or fractal theory
• the elegance of mathematics in the proving of theorems—eg number theory
• the history of mathematics: the origin and subsequent development of a branch of mathematics over a period of time, measured in tens, hundreds or thousands of years
• the effect of technology on mathematics:
• in forging links between different branches of mathematics,
• or in bringing about a new branch of mathematics, or causing a particular branch to flourish.

These are just some of the many different ways that mathematics can be enjoyable or useful, or, as in many cases, both.

For an Introduction in a Mathematics EE look HERE . 

Choice of topic

The EE may be written on any topic that has a mathematical focus and it need not be confined to the theory of mathematics itself.

Students may choose mathematical topics from fields such as engineering, the sciences or the social sciences, as well as from mathematics itself.

Statistical analyses of experimental results taken from other subject areas are also acceptable, provided that they focus on the modeling process and discuss the limitations of the results; such essays should not include extensive non-mathematical detail.

A topic selected from the history of mathematics may also be appropriate, provided that a clear line of mathematical development is demonstrated. Concentration on the lives of, or personal rivalries between, mathematicians would be irrelevant and would not score highly on the assessment criteria.

It should be noted that the assessment criteria give credit for the nature of the investigation and for the extent that reasoned arguments are applied to an appropriate research question.

Students should avoid choosing a topic that gives rise to a trivial research question or one that is not sufficiently focused to allow appropriate treatment within the requirements of the EE.

Students will normally be expected either to extend their knowledge beyond that encountered in the Diploma Programme mathematics course they are studying or to apply techniques used in their mathematics course to modeling in an appropriately chosen topic.

However, it is very important to remember that it is an essay that is being written, not a research paper for a journal of advanced mathematics, and no result, however impressive, should be quoted without evidence of the student’s real understanding of it.

Example and Treatment of Topic

Examples of topics

These examples are just for guidance. Students must ensure their choice of topic is focused (left-hand column) rather than broad (right-hand column

Treatment of the topic

Whatever the title of the EE, students must apply good mathematical practice that is relevant to the

chosen topic, including:

• data analysed using appropriate techniques

• arguments correctly reasoned

• situations modeled using correct methodology

• problems clearly stated and techniques at the correct level of sophistication applied to their solution.

Research methods

Students must be advised that mathematical research is a long-term and open-ended exploration of a set of related mathematical problems that are based on personal observations. 

The answers to these problems connect to and build upon each other over time.

Students’ research should be guided by analysis of primary and secondary sources.

A primary source for research in mathematics involves:

• data-gathering

• visualization

• abstraction

• conjecturing

• proof.

A secondary source of research refers to a comprehensive review of scholarly work, including books, journal articles or essays in an edited collection.

A literature review for mathematics might not be as extensive as in other subjects, but students are expected to demonstrate their knowledge and understanding of the mathematics they are using in the context of the broader discipline, for example how the mathematics they are using has been applied before, or in a different area to the one they are investigating.

Writing the essay

Throughout the EE students should communicate mathematically:

• describing their way of thinking

• writing definitions and conjectures

• using symbols, theorems, graphs and diagrams

• justifying their conclusions.

There must be sufficient explanation and commentary throughout the essay to ensure that the reader does not lose sight of its purpose in a mass of mathematical symbols, formulae and analysis.

The unique disciplines of mathematics must be respected throughout. Relevant graphs and diagrams are often important and should be incorporated in the body of the essay, not relegated to an appendix.

However, lengthy printouts, tables of results and computer programs should not be allowed to interrupt the development of the essay, and should appear separately as footnotes or in an appendix. Proofs of key results may be included, but proofs of standard results should be either omitted or, if they illustrate an important point, included in an appendix.

Examples of topics, research questions and suggested approaches

Once students have identified their topic and written their research question, they can decide how to

research their answer. They may find it helpful to write a statement outlining their broad approach. These

examples are for guidance only.

An important note on “double-dipping”

Students must ensure that their EE does not duplicate other work they are submitting for the Diploma Programme. For example, students are not permitted to repeat any of the mathematics in their IA in their EE, or vice versa.

The mathematics EE and internal assessment

An EE in mathematics is not an extension of the internal assessment (IA) task. Students must ensure that they understand the differences between the two.

• The EE is a more substantial piece of work that requires formal research
• The IA is an exploration of an idea in mathematics.

It is not appropriate for a student to choose the same topic for an EE as the IA. There would be too much danger of duplication and it must therefore be discouraged.

• << Previous: Group 4: Sciences
• Next: Group 6: The Arts >>
• Last Updated: Aug 23, 2024 12:12 PM
• URL: https://isstavanger.libguides.com/c.php?g=695888

How to Choose an EE Topic (Mathematics)

The Extended Essay is undoubtedly one of the most feared components of the IB program. A 4,000 word research paper can, in fact, seem daunting to those who have only written 500-1000 word essays. Therefore, students should choose a topic that they can not only find sources for, but are also passionate about it.

Mathematics Extended Essays are rare — of the 87,519 Extended Essays submitted in the 2020 May Examination Session only 2,454 were done over Mathematics (2.8%) ( IB Statistical Bulletin 2020 ). Despite the rarity, I chose to write a Mathematics EE because maths is something that fascinates me. To many students, Mathematics EEs sound scary and barely consider writing one. There were many people that told me I was insane and that it was impossible. In the end, I put in the work to make it happen. 

I chose to write my paper on Game Theory and my research question was: “To what extent does Game Theory play a role in Modern Warfare?” 

I found this topic not unlike the way students writing History EEs find their own specific topics. Just as history has countless events in which one can write about, Mathematics is similar with its various branches. I chose a branch that interested me (Game Theory) and used it to solve a real-world problem (Modern Warfare). My economics teacher actually suggested this idea.  They said that, while Game Theory is primarily used in economics, it has numerous applications to maths when discussed alongside warfare. This qualified my essay as a Category 1 Mathematics Extended Essay, which is a paper that discusses “the applicability of mathematics to solve both real and abstract problems” (p. 96, IB Extended Essay Guide ). 

Writing the essay is where, I admit, it got challenging. During the process I had no peers to help me as only a few others had chosen a Mathematics EE, but none of their topics related to mine. Fortunately, my mentor was extremely helpful and I was able to find several books at my local university that were very useful.

Mathematics Extended Essays are bizarre in many ways as things such as word count, varied sentence structure, and high vocabulary do not matter. However, it should be noted that effective communication is key even if that’s done through mathematical expressions. Despite these challenges, I strongly believe that Mathematics EEs are doable, and more people would do them if there was not such a negative stigma about them. I encourage all future IB sessions to consider doing one as the feeling when you have finished is unlike any other. The pride and satisfaction I felt knowing that I took the path less travelled and still found success is something that I hope all future IB students will experience.

You may also like…

• Our Extended Essay series
• Tiffany’s tips for Mathematics HL

Share this:

Very inspiring! You found success on the path less traveled.

Leave a Reply Cancel reply

Discover more from iblieve.

Subscribe now to keep reading and get access to the full archive.

Type your email…

Continue reading

IB Maths EE examples

Filter exemplars, ¿en qué medida se puede aplicar el análisis de fourier para calcular una partitura musical a partir de una grabación, to what extent can random walk theory and chaos theory effectively explain the sek/eur exchange rate market behaviour, want to get full marks for your ee allow us to review it for you 🎯, what is the probability distribution of the number of successful ball selections in the ball box battle game, where players aim to pick five balls out of 36 balls, utilizing the probability mass function (pmf), cumulative distribution function (cdf), and expected value e(x) of the hypergeometric probability distribution, is the richards growth model suitable for predicting the future growth of passenger vehicles on jakarta's roads, how effective are logistic regression models in predicting short-term stock market performance, fast track your coursework with mark schemes moderated by ib examiners. upgrade now 🚀, how can an artificial neural network be used to identify handwritten digits, to what length does the lotka-volterra model help us understand the predator-prey relation in an ecosystem, how can laplace transformation be used to solve differential equations in undamped vibration and kirchhoff's laws of current and voltage, how can the exit velocity vector of a spacecraft performing a hyperbolic flyby manoeuvre be calculated, how does the implementation of pell's equation in rsa cryptography affect its efficiency, and what is the security of the prime fake modulus variant against fermat's factorization and wiener's attack, to what extent is the insight into the concepts of consonance and dissonance in music theory provided by the mathematical descriptions of the string motions within stringed instruments described by the fourier series, to what extent prime counting function and the riemann zeta function are similar, and what is the importance of their similarities, how are elliptic curves used in cryptography to make information secure in today’s world, how does elliptic curve cryptography ensure secure communication of information on the internet, to what extent is the naive bayes classifier effective in classifying iris plants data set, how do laplace transformations and complex exponential substitution enable the solution of a first order differential equation to obtain the sinusoidal current in a basic rl circuit, the analysis of approaches and extension of a combinatorial geometry problem, to what extent, statistically, are the causal effects of parenting programs on rural chinese toddlers’ cognition different between genders, to what extent is the mathematical proof of ‘ac ohm’s law’ applicable to ac circuits, how can matrix analysis of game theory be used to guide foreign policy in the ongoing us-iran nuclear tensions, how does the fourier series is used as a musical signal for chord structure, how can the surface area of a violin's top plate be calculated, what is the height and number of towers in a suspension bridge between tuas and jurong island such that it will bear the heaviest possible load and have the lowest cost, how does the idea of transpositions from group theory apply itself to the solution of the futurama problem, how trigonomotry applied in astronomy, to what extent do trigonometry, elliptical geometry and calculus aid forensic analysts in blood spatter analysis and the estimation of the time of death of a corpse, dans quelle mesure, l’utilisation de pi (π) est-il devenu un facteur important dans la vie quotidienne et l’évolution du monde, what is modular arithmetic, and how can it be applied to solve problems in the field of number theory, to what extent do the motion of strings within stringed instruments described by fourier series give insight into consonance and dissonance in music theory, we will investigate whether the supply and demand affect the performance of a stock in the us equity market, what are some ways the riemann zeta function is connected to the prime numbers, that helps us investigate and better understand them, to what extent does the distance between the path that goes through the gold nucleus and one of the asymptotes of the α particle’s hyperbolic trajectory affect the trajectory of the α particle in rutherford's gold foil experiment, what is the most optimal point on football field to score a goal, (35/36) hyperbolic flyby trajectories in orbital mechanicss, generating arbitrary uniform probability distributions, how does abstract mathematics apply to physical phenomena in the process of the development of schrodinger’s equations, to what extent the areas of mathematics such as differ- ential geometry and calculus of variations can be used to generalize the brachis- tochrone problem at planes to curved surfaces embedded in three dimensions, the rsa algorithm and its vulnerabilities.

Everything begins with an idea!

Math Essay Topics

Math is a science that deals with the logic of numbers, quantities, arrangements, and shapes. Although math doesn’t deal much with words, students in high schools and colleges are sometimes required to write essays on it. Students often wonder why they have to write math essays. Basically, math essays allow students to discover the importance of math and how it relates to life. We noticed that a lot of students find it difficult to come up with math essay topics, which is why we want to help them. As you scroll down, you will find some interesting math essay topics. The topics that you find here are not only interesting but also enlightening. We took our time to gather only the best math essay ideas to save students from the stress. All the topics below are easy enough for students, so you will easily know what to write about them. You will find both popular and unpopular math ideas as you go through the list of topics. You can be confident about your essay success if you select your essay topic here.

Top Math Essay Topics

• How the FBI Uses Math
• Asian Student ‘s Math Test
• Math And The Past Years
• My Experience With Math Class
• Advanced Math Solutions
• Do I Have A Math Phobia?
• Math in Medieval Times
• Maths Is Everywhere
• Math in Special Education
• Coming From A Math Background
• Egyptian Math
• What Is Math Learning Disability?
• History of Math Education in The World
• Gender Equity in Math
• Math And Owning A Restaraunt
• Math Is All Around Us
• How to Overcome the Common Problems Students Face in Maths
• My Job As A Math Teacher
• My Experience As a Student of Math
• Pythagora’s Contributions to Math
• Solving Math Solutions Manuals
• The solution of the Cubic Equation
• How To Build Math Skills
• Impressions Of An Average Student About Math
• The Impact Of Music On Math Performance
• Teaching Math Beyond Everyday Math
• Statistics On Math
• Can Expressive Writing Improve the Performance of Students in Math Test
• The Common Causes of Math Anxiety
• Teaching Math: A College Teacher
• Math And Verbal Sections
• Graduation Speech: Math And Technology
• Math Coursework
• The Issue of Bad Math
• The Math in Volleyball
• Math Problems That Don’t Seems to Have Solutions
• How the knowledge of Math has changed the world
• The math in nature
• Encouraging Girls in Math and Science
• The History of Mathematics in Europe
• The math in basketball
• Elementary School Math Lesson Plan
• Are Asians More Proficient in Math Than the Rest of the World?
• Beyond Pythagoras Math Investigation
• Engagement in Math in Second Graders
• The importance of math in the construction industry
• Math is the Universal Language
• Math Solutions
• Trigonometry in Daily Life
• How game developers apply the knowledge of Math
• Who should learn math?
• The New Math of Gambling
• Do Americans Really Stink At Math?
• Why Should Schools Require Math?
• Qualities That Make a Math Teacher Great
• Vertex-Edge Graphs Tutoring
• Ways Of Imparting Math Skills
• The Relationship Between Psychology and Math
• The World Of Science And Math
• The Role of the Proof in Math
• The Dynamics Of Math
• School Of Math And Science
• Math And Technology Applications
• Is Classroom Enough For Learning Math?
• The Role of Recreational Math
• Math Problems For Extra Credit
• Math, Architecture, And Games
• Math Is A Problem Solving Attitude
• The importance of geometry to the physical world
• My Experience With Learning Math
• Use of Math in Auto Racing
• Japan vs. The United States in Math and Science
• Behavior Of The Logistic Equation
• Math Intervention for State Exams
• Math Hidden Faces Investigation
• How math applies to our daily lives
• Is math really a science?
• The best way to approach a math problem
• How to overcome your fear of Math
• What the World Would Look Like Without Math
• How Math Is Raising Our Standard Of Living Every Day
• Why Is Math Important for Success?
• What Students Can Do About Math Anxiety
• New Technologies That Assist Students With Math Problems
• Is There a Relation Between Music and Math?
• Mathematical Analysis
• Can Math alter the brain map of students?
• How to become proficient in Math
• Why the society can’t exist without the knowledge of Math
• Mathematical principles that everyone applies unconsciously
• Math and everyday life

Have top experts do your papers.

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Save my name, email, and website in this browser for the next time I comment.

Home › University › 600 EPQ Ideas and Examples – The Ultimate List

600 EPQ Ideas and Examples – The Ultimate List

• Published May 1, 2024

The Extended Project Qualification (EPQ) presents a unique opportunity for students studying in sixth form or college. Not only can you earn extra UCAS points to get into university, but you can also develop strong research and writing skills.

The first step is to come up with a great project idea, which is easier said than done. Fortunately, the choice is yours–you can complete your project on whatever topic you want. On the other hand, with so many possibilities, it can be tricky to narrow it down.

Want to better understand EPQ? Read our guide: What is an EPQ.

This article will give you 600 EPQ topic ideas on a range of subjects to help you choose a good question and, more importantly, get an A*.

How to Choose a Good EPQ Idea

Getting a good grade in the EPQ relies on several factors, including meticulous planning, solid time management, and strong essay writing skills . 

Your idea is important, too. Here are some tips for choosing an idea:

• Pick your passion: Choose a topic you’re genuinely passionate about to maintain motivation.
• Be specific: You only have 5000-6000 words for your dissertation. This might sound like a lot, but it can be difficult to cram all your ideas into this space. Being specific will help.
• Push boundaries: Markers like to see topics they haven’t encountered before. If your topic is more popular, try to look at it from a unique angle.

Below are 600 EPQ ideas (including artefact EPQ ideas) organised by subject (in alphabetical order). Some of these ideas are much more vague than you should be for your EPQ; it’s important to put your own spin on these ideas and find an interesting angle. If you’re struggling, your supervisor can help you narrow down a topic.

25 EPQ Ideas for Anthropology

• How does cultural relativism shape anthropological perspectives on human behaviour?
• To what extent does language influence cultural identity?
• In what ways do rituals and ceremonies reflect cultural beliefs and values?
• How has globalisation impacted indigenous cultures and traditional practices?
• To what extent can anthropology shed light on the evolution of human social structures?
• What role does gender play in shaping cultural norms?
• How do human migration patterns impact cultural exchange and identity?
• What can the food consumption of a society tell us about its cultural values and social structures?
• Can anthropology contribute to our understanding of human prehistory?
• How has technology altered the dynamics of anthropological fieldwork?
• Can anthropology address issues of cultural appropriation and stereotyping?
• What impact does climate change have on indigenous knowledge, and vice versa?
• To what extent can anthropology contribute to conflict resolution?
• How does the class system in the UK differ from those of other countries?
• In a post-pandemic world, what role can anthropology play in medicine?
• Is it important to preserve endangered cultures?
• What impact does tourism have on local communities?
• Is it important to respect cultural practices that may harm people?
• How do kinship systems influence social organisation?
• How has urbanisation affected the social structure of large human groups?
• Is it possible to define a singular, homogenous British culture?
• What can consumption patterns tell us about a particular society?
• What’s the difference between society and culture?
• Can language shape the way we view the world?
• Can online spaces like the Metaverse be considered their own society?

25 EPQ Ideas for Architecture

• How can architecture foster community engagement?
• What role does cultural identity play in shaping architectural design?
• How does sustainable architecture contribute to environmental conversation?
• In what ways can architectural design mitigate the impact of natural disasters?
• How does urban planning influence the mental well-being of city dwellers?
• Can changing architecture serve as a catalyst for economic development in urban areas?
• How do historic preservation strategies balance tradition and innovation?
• What factors should architects consider when designing for aging populations?
• How can architecture promote a healthier lifestyle?
• What challenges and opportunities does inclusive design present for architects?
• How does the style of council housing feed into stereotypes about class?
• How can architects revitalise abandoned urban spaces?
• How does architecture influence human behaviour in public spaces?
• What impact does architectural iconography have on the identity of a place?
• What lessons can architects learn from pandemic responses in designing for health?
• Was the Grenfell Tower a complete architectural failure?
• What can architecture tell us about politics?
• In what ways does minimalist architecture correspond with contemporary societal values?
• What is the effect of feminism on architecture?
• How can architects incorporate biophilic design principles into modern urban environments?
• To what extent is architectural design a form of art?
• How can technologies such as VR and AR benefit the architectural industry?
• Were the houses of the past of higher quality?
• How does architectural lighting impact the perception of spaces?
• How can architects design for climate resilience in vulnerable regions?

25 EPQ Ideas for Art

• How does art reflect and influence cultural identity?
• To what extent does street art challenge traditional notions of public space?
• How can art be utilised as a form of social and political commentary?
• In what ways does the digital age impact contemporary art creation and consumption?
• To what extent can images created by artificial intelligence (AI) be considered art?
• Can art serve as a therapeutic outlet for mental health expression and recovery?
• How did impressionism reflect the sociopolitical environment of the late 1800s?
• What role does public art play in enhancing urban environments?
• How does art education impact development in children and adolescents?
• How can art contribute to environmental awareness and sustainability?
• What impact does public funding have on the accessibility of art institutions?
• How does art respond to and reflect changing gender norms?
• How can art museums adapt to the digital age to enhance visitor engagement?
• In what ways does art challenge or reinforce stereotypes?
• What role does art play in shaping public memory and commemoration?
• How has globalisation influenced contemporary artistic trends?
• Can art bridge the generation gap?
• Who decides what is defined as ‘art’?
• Should street artists be allowed to graffiti on walls?
• What can the vandalism of Barnett Newman’s Who’s Afraid of Red, Yellow, and Blue tell us about the way people view art?
• Who determines the value of art?
• Why do humans create art, and why have they done so for thousands of years?
• Can art be considered a form of language?
• Who determines the meaning of artwork, the creator or the viewer?
• Is it worth creating art if nobody sees it?

25 EPQ Ideas for Biology

• How do genetics influence self-esteem?
• How can gene editing technologies revolutionise medicine?
• How do neurotransmitters contribute to mental health disorders?
• Can synthetic biology offer solutions to environmental challenges?
• In what ways does the gut-brain axis influence mental well-being?
• What is the biology of laughter?
• To what extent can CRISPR technology be applied ethically and safely in humans?
• What genes have an influence on human behaviour?
• What factors contribute to the spread of antibiotic resistance in bacteria?
• Why do some people use parasites for weight loss, and what are the implications of this?
• How do circadian rhythms affect human health and performance?
• Could genetic engineering address environmental pollution?
• Is addiction a genetic or social issue?
• Will brain transplants ever be viable?
• How does the UK’s changing climate affect biodiversity?
• How can hormones influence behaviour?
• Can biotechnology address the global food insecurity crisis?
• Can gut microbiota affect the host’s appetite?
• To what extent can animal evolutionary traits inspire innovations in technology and engineering?
• What impact has the grey squirrel had on the distribution of native red squirrels in the UK?
• Are animals as “smart” as humans?
• What are the ethical implications of genetically modified organisms (GMOs) in our food supply?
• How does air pollution affect the respiratory health of a given population?
• What is the role of the immune system in auto-immune diseases?
• Why do humans living in “Blue Zones” have lower incidences of chronic disease than elsewhere?

25 EPQ Ideas for Business

• How does corporate social responsibility impact consumer perceptions and purchasing behaviour?
• To what extent can employee motivation impact organisational performance?
• Can environmentally sustainable business practices lead to long-term financial success?
• How do social media marketing strategies influence consumer decision-making?
• How does leadership style impact employee productivity?
• In what ways does corporate governance affect organisational success?
• Can entrepreneurship drive economic development in local communities?
• What role does emotional intelligence play in effective business leadership?
• In what ways can businesses effectively manage and leverage diversity?
• Can AI enhance business operations and efficiency?
• Should businesses outsourcing to developing countries pay workers the same they would at home?
• Should businesses pay apprentices more?
• What has changed for women in the workplace since 1900?
• To what extent can the government be considered a business?
• Should there be a salary cap for CEOs?
• How has e-commerce affected physical retail locations?
• Will Amazon Go change supermarket shopping forever?
• Should the government lower the corporate income tax?
• How has social media changed the landscape of marketing?
• To what extent can football clubs be considered businesses?
• How can AI contribute to informed decision-making for business owners?
• What makes a successful start-up?
• How ethical are Amazon’s business practices?
• What responsibility do businesses have to their consumers?
• To what extent do small businesses rely on digital marketing strategies?

25 EPQ Ideas for Chemistry

• How can green chemistry principles contribute to sustainable industrial practices?
• To what extent can nanotechnology revolutionise drug delivery systems?
• In what ways do catalysts impact reaction rates in chemical processes?
• Can chemistry provide solutions for efficient energy storage?
• How did chemistry help us understand the COVID-19 pandemic?
• Can an understanding of chemistry help in the development of anti-aging products?
• What impact does polymer chemistry have on materials science and engineering?
• How does fluoride impact the water supply?
• How does analytical chemistry contribute to forensic science and criminal investigations?
• How can green solvents impact the environmental sustainability of chemical processes?
• At what point does a chemical become a hallucinogen?
• How did optical isomerism impact the drug Thalidomide, which caused fetal abnormalities?
• To what extent can chemotherapy drugs be targeted using medicinal chemistry techniques?
• How do organometallic compounds contribute to catalysis in industrial processes?
• How do metal-organic frameworks (MOFs) contribute to gas storage and separation?
• Can cheminformatics improve the prediction of chemical properties and toxicity?
• How can click chemistry be used to improve drug synthesis?
• How do photovoltaic cells work?
• Did the discovery of pharmaceutical chemicals change the course of history?
• Can cannabis use in adolescence cause mental health issues like schizophrenia?
• What are the benefits of computer-based, fragment-aided drug design?
• Why doesn’t plastic decompose?
• What are the chemicals involved in the human conception of love?
• Project: Make a collection of pleasant-smelling esters.
• Project: Extract limonene from a range of citrus fruits.

25 EPQ Ideas for Computer Science

• How can machine learning algorithms improve fraud detection in financial transactions?
• In what ways does natural language processing contribute to the development of intelligent chatbots?
• To what extent can blockchain technology enhance data security and integrity?
• To what extent can explainable artificial intelligence (XAI) improve trust in AI systems?
• Should we teach children to code in school?
• Are AI-assessed job applications inevitably biased?
• Will AI create or diminish the number of jobs available?
• What impact does cybersecurity have on the reliability of Internet of Things (IoT) devices?
• To what extent can machine learning predict and prevent cyber attacks?
• What role does augmented reality (AR) play in enhancing the user experience of mobile apps?
• How accurately can AI writing assistants (like Grammarly) express human language?
• Are AI-powered robots responsible for their own actions?
• The impact of technology on the future of law enforcement and criminal justice?
• Has technology made our daily lives more or less secure?
• Has widespread technology led to an increase in crime?
• How will 5G change our lives?
• How does parallel computing improve the performance of computational models?
• In what ways can deep learning algorithms contribute to medical image analysis?
• What role does computer vision play in image recognition and object detection?
• How does edge computing address challenges in real-time data processing?
• Can artificial general intelligence (AGI) be achieved?
• Can AI models be applied ethically to facilitate sensitive decision-making?
• How can we improve human-computer interaction to increase accessibility?
• Is internet access a human right?
• Project: Create a website and code it yourself.

25 EPQ Ideas for Economics

• Should the government implement a universal basic income?
• How does automation impact employment rates and income distribution in developed economies?
• Is capitalism ethical?
• Can economic incentives effectively address environmental issues?
• How has the Russo-Ukrainian war impacted the global trade economy?
• What would be the economic implications of a country adopting cryptocurrency as its official currency?
• Should countries prioritise economic growth or environmental sustainability?
• How does income inequality affect social cohesion?
• Can the circular economy model contribute to long-term economic sustainability?
• What economic factors contribute to the success or failure of international development aid programs?
• To what extent does government intervention influence economic stability during times of crisis, like the COVID-19 pandemic?
• How does an ageing population impact a country’s economic prospects?
• Is the concept of a ‘sharing economy’ a viable solution to address times of financial hardship?
• To what extent does access to education influence economic mobility?
• What impact did Brexit have on the UK economy?
• What factors contribute to the success or failure of economic sanctions as a foreign policy tool?
• How do interest rate changes impact consumer spending?
• Should governments prioritise economic growth or economic stability during times of crisis?
• How does income inequality impact access to healthcare and health outcomes?
• Why is paying taxes important?
• To what extent does the gig economy contribute to financial insecurity?
• How often should the minimum wage be reviewed?
• How does the rise of e-commerce impact brick-and-mortar retail and local economies?
• Does hosting a global event, such as the FIFA World Cup, benefit a country’s economy?
• How can the government address the housing crisis?

25 EPQ Ideas for Education

• How does technology impact student learning outcomes in primary education?
• To what extent does the quality of early childhood education influence later academic success?
• How can inclusive education practices benefit students?
• How does the school environment contribute to student engagement and academic performance?
• Is project-based learning an effective approach to enhancing critical thinking skills in secondary school students?
• What role does teacher training play in addressing the challenges of multicultural classrooms?
• To what extent does standardised testing accurately reflect student abilities?
• How does the flipped classroom model impact student achievement?
• Is the education system indoctrinating students?
• Should school uniforms be enforced?
• How can the education system better cater to students with high-functioning autism?
• Does banning mobile phones in school do more harm than good?
• Should parents have a say in what children are taught at school?
• Can schools effectively teach mental health and well-being?
• Do exams unfairly advantage boys, and why?
• How can schools address the digital divide?
• To what extent do extracurricular activities impact the development of secondary school students?
• Can outdoor education programs enhance creativity and problem-solving skills in primary students?
• Can alternative education models, such as homeschooling or unschooling, provide effective learning environments?
• What impact does the student-teacher relationship have on learning outcomes?
• What role does parental involvement play in student success?
• To what extent does parental socio-economic status influence educational opportunities?
• How important are creative subjects, like art and music, in secondary school?
• Should sports be compulsory at secondary school?
• How can teachers account for different learning preferences?

25 EPQ Ideas for Engineering

• How can sustainable engineering practices be implemented in urban development?
• To what extent can artificial intelligence enhance predictive maintenance in industrial engineering?
• How does 3D printing impact traditional manufacturing processes in the aerospace industry?
• Can engineering solutions effectively address the challenges of renewable energy storage?
• How can smart materials revolutionise civil engineering?
• In what ways can engineering design optimise water treatment and purification systems?
• Should the focus of transportation engineering shift toward autonomous modes of transport like self-driving cars?
• Why is there a gender imbalance in engineering?
• What’s the relation between architecture and engineering?
• Did the Titanic sink due to engineering faults?
• Can engineering innovation improve accessibility for people with disabilities?
• Would it be possible to run the UK entirely on energy from wind farms?
• How can engineering solutions address climate change challenges in coastal areas?
• In what ways can engineering principles be applied to enhance disaster resilience in infrastructure?
• What does it mean to be ethical as an engineer?
• How can a better understanding of robotics enhance efficiency and safety in manufacturing?
• How does bioengineering contribute to advancements in prosthetics and medical devices?
• What role does materials engineering play in developing sustainable packaging?
• What does the future of transport look like?
• How can advancements in aerodynamics and materials engineering help to create a more energy-efficient Formula 1 race car?
• What role does geotechnical engineering play in addressing challenges related to soil stability and landslides?
• Is genetic engineering the future of medicine?
• Should children be taught engineering in primary school?
• Project: Build a model plane or boat.
• Project: Design a modern solution for plastic recycling.

25 EPQ Ideas for English Literature 

• How does the portrayal of female characters in classic literature reflect changing societal attitudes toward women?
• To what extent does the use of symbolism contribute to the depth and meaning of Shakespearean tragedies?
• How does post-colonial literature challenge established perspectives on identity and power?
• How has the representation of mental health evolved in literature?
• Is it important to teach media literacy?
• What role does the unreliable narrator play in shaping the reader’s interpretation of a story?
• How does magical realism contribute to the themes and messages of contemporary literature?
• In what ways do graphic novels challenge the traditional notions of literature and storytelling?
• How has the portrayal of LGBTQ+ characters evolved in literature, and how does this impact societal perceptions?
• To what extent does the setting contribute to the atmosphere and mood in Gothic literature?
• How does the use of dialect and language contribute to the authenticity of regional literature?
• Can a study of literary adaptions for film and television provide insights into changing audience expectations?
• How does the concept of the ‘Byronic hero’ persist in modern literature and popular culture?
• To what extent does F. Scott Fitzgerald’s use of narrative perspective impact the portrayal of the American Dream in ‘The Great Gatsby’?
• How does the narrative structure in Virginia Woolf’s ‘Mrs Dalloway’ enhance the exploration of time and consciousness?
• Can the analysis of allegory and satire in George Orwell’s ‘Animal Farm’ offer insights into political and societal commentary?
• What does the popularity of TikTok’s ‘BookTok’ hashtag tell us about changing literary preferences?
• To what extent does the use of magical realism in Gabriel Garcia Marquez’s ‘One Hundred Years of Solitude’ contribute to the portrayal of Latin American culture?
• The author John Green frequently says that “books belong to their readers”. Is this true?
• How do platforms like Wattpad change what it means to be an author?
• Can fan fiction be considered a form of literature?
• Can works of literature oppress their female characters?
• What books should be taught in schools, and why?
• What makes a novel ‘great’?
• How does the portrayal of gender roles in Charlotte Brontë’s ‘Jane Eyre’ challenge or conform to Victorian societal norms?

25 EPQ Ideas for Ethics

• How can we address the ethical implications of artificial intelligence in policing?
• To what extent does the use of biometric data in surveillance impact individual privacy?
• How does the ethical framework of medical consent adapt to the challenges posed by telemedicine and remote healthcare?
• What are the ethical challenges posed by social media algorithms and their impact on information dissemination?
• Is it ethical to use autonomous drones in warfare and surveillance?
• Are designer babies ethical?
• How can we address the implications of deepfake technology?
• Do businesses have a responsibility to act sustainably?
• Do humans have a right to explore space?
• Should embryos have protected rights?
• Should students be taught ethics in school?
• Who decides what is ethical?
• Is it ethical to test for disabilities like Down’s Syndrome in unborn babies?
• Is cloning ethical?
• Should people undergo an assessment to vote?
• Do consumers have an ethical obligation to consider where material goods come from?
• Can ethical principles guide international cooperation in addressing public health crises?
• What are the ethical implications of using AI during the hiring process?
• Should people be able to sue their parents for bringing them into the world?
• Are morals innate or socially conditioned?
• Do celebrities have a right to privacy?
• Do countries have an obligation to take on refugees?
• Is it ethical to experiment on animals?
• Can the ends ever justify the means?
• Can ethics improve the world?

25 EPQ Ideas for Geography

• How does climate change influence migration patterns?
• How can GIS technology address urban sprawl and land-use planning?
• Can sustainable agriculture mitigate the impact of food insecurity?
• How did the 2004 Boxing Day Tsunami affect tourism in Thailand?
• How does the study of cultural landscapes inform heritage conservation?
• To what extent can sustainable tourism protect biodiversity in fragile ecosystems?
• How does water scarcity contribute to geopolitical tensions?
• Can better urban planning prevent the development of slums?
• Does the earth belong more to humans or animals?
• Does the placement of global supply routes inherently cause economic inequality?
• Is tourism good or bad?
• Should international borders exist?
• Can the study of coastal geography inform effective strategies for managing and adapting to sea-level rise?
• How does climate change influence patterns of disease migration?
• What are the environmental and social impacts of fracking?
• How do historical factors shape migration patterns and refugee flows?
• Can the study of plate tectonics help us predict earthquakes?
• What role does geopolitics play in shaping global resource distribution?
• What impact does infrastructure development have on regional economic disparities?
• What are the challenges presented by aging populations?
• Does the concept of sustainable development apply to resource extraction industries?
• Will Antarctica ever be habitable?
• Can a developing country ever become a developed nation?
• How does agriculture affect soil health?
• Should active volcanoes be tourist spots?

25 EPQ Ideas for History

• How did the Industrial Revolution transform social structures in 19th-century Britain?
• How did colonialism shape the cultural, economic, and political development of Tanzania during and after independence?
• Can the study of historical pandemics offer insights for future action?
• What role did propaganda play in influencing German public opinion during World War II?
• To what extent did the women’s suffrage movement contribute to advancements in gender equality?
• How did the Age of Enlightenment influence the development of political thought and institutions in Europe?
• How did the Reformation impact religious practices in 16th-century England?
• How did the Silk Road facilitate cultural exchange and economic development between the East and West?
• Who was Jack the Ripper?
• Are school history textbooks biased?
• How has fashion changed in the UK since the Middle Ages?
• Are works of fiction and art valid historical sources?
• How did the Scientific Revolution challenge traditional beliefs?
• Can the study of historical urbanisation patterns inform contemporary urban planning?
• What singular invention changed the course of history?
• Is history important for the future?
• How did the Cold War impact political ideologies and power dynamics?
• What can mainstream media tell us about historical political conflicts?
• To what extent did the Spanish Inquisition contribute to religious intolerance in Europe?
• How did the intellectual movements of the 1920s shape the character of the Roaring Twenties?
• How did the Opium Wars influence the socio-economic and political trajectory of 19th-century China?
• Did historical maritime exploration directly contribute to the establishment of modern global trade networks?
• Can the study of historical diplomacy offer insights into contemporary geopolitical challenges?
• How did the Green Revolution impact global agriculture and food production in the mid-20th century?

25 EPQ Ideas for Languages

• How did modern English come to be?
• What can cultural differences in ‘baby talk’ tell us about language acquisition?
• Can languages be considered alive?
• Is it important to preserve endangered languages?
• Can language influence our perceptions of time and space?
• How does bilingualism impact cognitive function?
• What role does translation play in understanding foreign literature?
• Is Scots a language or a dialect?
• How does technology aid in language learning?
• Should English have a language academy like The French Academy?
• Why did the Esperanto language policy fail?
• Is the Latin alphabet a good writing system?
• Can studying linguistic variation contribute to more effective education approaches?
• Is body language universal?
• Should learning sign language be mandatory?
• Is brail a language?
• Should we develop a universal lingua franca?
• How does the evolution of slang reflect societal changes and trends?
• How do language ideologies shape language policies?
• Are multilingual people more successful?
• Can language use reflect your identity?
• Is there a ‘correct’ way to speak a language?
• Will AI change the way we translate languages?
• How far back can we trace languages?
• Why is English so widespread?

25 EPQ Ideas for Law

• To what extent do privacy laws adequately protect individuals in the digital age?
• Who is responsible for implementing and upholding laws in the Metaverse?
• How has international law addressed the challenges of cyber warfare?
• How does the concept of corporate personhood impact legal liability in business?
• Can legal frameworks effectively address challenges in AI, such as algorithmic bias?
• How effective is international humanitarian law in mitigating humanitarian crises?
• Is there a legal responsibility to regulate emerging technologies?
• How do intellectual property laws balance the rights of creators in the digital era?
• How does the legal concept of self-defense apply to cyber-attacks?
• What impact do extradition laws have on transnational crime and terrorism?
• Does the legal system protect individuals’ rights in the context of surveillance technologies and mass data collection?
• How has the legal definition of marriage evolved and how does this impact society?
• How can environmental laws address the challenges of biodiversity loss?
• Should gene editing be legal?
• How do antitrust laws contribute to maintaining competition and preventing monopolies in the digital age?
• In what ways do laws regarding data protection and privacy impact the development of smart cities?
• Do animals deserve legal rights?
• How can legal frameworks address the challenges of regulating self-driving vehicles?
• How can the law address racial and ethnic discrimination in the criminal justice system?
• Are juries inevitably flawed?
• How does the law help society?
• How can freedom of speech laws adapt to the challenges presented by social media?
• What needs to be considered when creating a new law?
• Who should the law protect?
• How do laws that address gender-based violence contribute to social attitudes about gender inequality?

25 EPQ Ideas for Maths

• How can mathematical models predict climate change?
• To what extent can mathematical models enhance cybersecurity measures?
• How does the application of mathematical techniques improve supply chain efficiency? 
• Can mathematical modeling provide insights into the spread and containment of infectious diseases like COVID-19?
• Should students be forced to take maths at A-Level?
• How do mathematical concepts influence the development of AI?
• How can mathematical modelling inform traffic management?
• How can game theory shape strategic decision-making in business?
• Can number theory principles be applied to enhance the security of cryptographic systems?
• What has been the most impactful mathematical discovery to date?
• How does the study of chaos theory inform our understanding of complex systems in nature?
• How useful is generative AI for solving mathematical problems?
• Should maths education focus more on applied mathematics?
• Has maths always existed?
• Can mathematical analysis contribute to the optimisation of renewable energy systems?
• How does graph theory contribute to the optimisation of network design and communications systems?
• Can mathematical principles guide fair voting systems in democratic processes?
• What impact does mathematical symmetry have on artistic disciplines?
• What role does probability theory play in risk management?
• Is the concept of infinity useful?
• What was the role of maths in the code-breaking at Bletchley Park?
• How does maths inform the systems behind cryptocurrencies?
• To what extent can mathematical analysis contribute to predicting and managing financial market fluctuations?
• Can mathematical algorithms enhance personalised learning experiences?
• Should maths be optional in secondary school?

25 EPQ Ideas for Medicine

• Is personalised medicine the way forward?
• To what extent can telemedicine improve healthcare accessibility?
• Can machine learning and AI be effectively used in medical diagnostics?
• What role do social factors play in health disparities?
• How can robotics benefit minimally invasive surgical procedures?
• How can medical professionals balance patient autonomy with ethical considerations in end-of-life care?
• Is there a place for alternative medicine in Western healthcare?
• What impact do lifestyle factors have on longevity?
• Is gene therapy a viable option for managing genetic diseases?
• Were the public health interventions during the COVID-19 pandemic sufficient?
• Is nanomedicine the future of targeted drug delivery?
• Can medical interventions address the rising global prevalence of non-communicable diseases like diabetes?
• How does medical anthropology contribute to the understanding of healthcare?
• Could 3D printing technology provide the solution for personalised medical implants and prosthetics?
• Why are girls underdiagnosed when it comes to autism?
• Do government health incentives like putting calories on menus affect public health outcomes?
• Is plastic surgery a solution to body dysmorphic disorder?
• What is the effect of race and ethnicity on health outcomes during hospital treatment>
• What are the arguments for legalising medical cannabis?
• Did the Ancient Egyptians truly understand illness and medicine?
• Are we treating mental health disorders correctly?
• How can advancements in neurotechnology contribute to the treatment of brain injuries?
• Is preventative healthcare more important than treatment?
• Should healthcare be public?
• Should organ donation be mandatory?

25 EPQ Ideas for Physics

• How does quantum entanglement challenge our understanding of particle physics?
• Can string theory provide a unified explanation for the fundamental forces in the universe?
• Is the study of the universe important?
• Can advancements in quantum computing revolutionise information processing?
• Is time linear?
• Is nuclear power a viable future resource?
• Can the study of gravitational waves contribute to our understanding of black hole mergers?
• Can physics prove (or disprove) the existence of God?
• Could the moon be a tourist destination?
• How far can humans realistically travel in space?
• Is physics a male-dominated field and why?
• What role does physics play in daily life?
• Are any laws of physics breakable?
• Do parallel universes exist?
• What implications do the laws of physics have on free will?
• How can concepts in physics, like light and colour, influence art?
• How does physics inform our understanding of the origins of the universe?
• What was the role of Mileva Meric, Albert Einstein’s wife, in his findings?
• Should we eliminate nuclear weapons?
• What is the most important discovery in physics?
• How can physics be used to prevent climate change?
• What is the role of physics in medicine?
• What happens when the Sun dies?
• Will humans ever live on another planet?
• Project: Design and build a robot.

25 EPQ Ideas for Politics

• How does the voting system affect representation in democratic elections?
• To what extent do political debates influence public opinion?
• How do local policies impact the daily lives of citizens?
• Can political cartoons effectively convey complex political issues?
• What role does diplomacy play in resolving international conflict?
• How do modern political campaigns leverage social media?
• How can citizens actively participate in local government decision-making?
• What impact does the media’s portrayal of political leaders have on public perception?
• Should politics prioritise the needs of marginalised communities?
• How does the electoral college system influence presidential elections in the United States?
• How can governments increase youth participation in politics?
• Should politics be mandatory in schools?
• Should businesses be allowed to lobby governments?
• Should freedom of speech be protected at all costs?
• Do we need new political systems to govern international cyber-space (e.g. the Metaverse)?
• Should National Service be mandatory?
• Is the government’s responsibility to address climate change?
• Should there always be a separation of church and state?
• What were the main factors that led to Brexit?
• Does the government have a right to ban protests?
• How can the government reduce voter apathy?
• Is the national government more important than councils?
• Should Scotland be allowed a second referendum?
• Is there a fair representation of working-class people in the government?
• Should there be a global system of governance?

25 EPQ Ideas for Psychology

• How does the nature vs. nurture debate help us understand human behaviour?
• How do cultural factors influence mental health?
• Can cognitive psychology help us understand memory disorders?
• What makes humans happy?
• Can psychological research contribute to the prevention of substance abuse and addiction?
• What impact does sleep have on cognitive function?
• How does evolutionary psychology explain human mating behaviours and relationship dynamics?
• Can psychology explain the motivations for bullying and cyberbullying?
• What were the effects of isolation during COVID-19 lockdowns?
• Do gender-neutral toys give children less restrictive views of gender?
• Can education in psychology prevent bullying in schools?
• Does the media portrayal of mental health issues make it hard for teenagers to seek help?
• Do ethical constraints on research hinder our understanding of psychology?
• Can cannabis use cause schizophrenia?
• Is psychology a science?
• What effect does bipolar disorder have on the family of the patient?
• Do our genes or our experiences shape who we are?
• Do different cultures see mental health in different ways?
• Can psychology help us break bad habits?
• Why does the placebo effect happen?
• Is future criminal behaviour always evident in childhood?
• Why do people fall in love?
• How does online behaviour affect mental well-being?
• Can talking therapy help with anxiety?
• Is a full state of focus feasible for the human brain?

25 EPQ Ideas for Religious Studies

• Are science and religion the same?
• What role do religious rituals have in fostering a sense of community?
• Do Muslims and Christians share the same God?
• How do religious beliefs influence moral decision-making?
• Can religious texts explain cultural values?
• Is there an afterlife?
• What impact do religious teachings have on attitudes toward the environment?
• Is religious teaching the best way to create peace?
• In what ways do art and architecture reflect religious beliefs?
• How do religious practices contribute to individual well-being?
• How does the concept of forgiveness vary across different religions?
• How do religious leaders contribute to community development?
• Why is Christianity declining in the United Kingdom?
• What role does storytelling play in religious traditions?
• Why do some religions spread while others remain small?
• Why are certain animals considered sacred?
• How do holidays and festivals strengthen religious identity?
• Can the concept of karma influence ethical behaviour?
• What impact does religious pluralism have on society?
• How does Catholicism address the concept of suffering?
• What’s the difference between a cult and a religion?
• Does religion have a place in politics?
• How did the history of the church shape today’s society?
• Why are there different branches in major religions?
• Can studying religious history prevent future conflicts?

25 EPQ Ideas for Sociology

• Is the nuclear family structure important?
• How does education enforce or challenge social inequality?
• Does social media perpetuate negative perceptions of body image?
• Would studying sociology prevent bullying in schools?
• Why does racism exist?
• Is social media eroding our social skills?
• Does class really have an impact on access to opportunities?
• How do gender roles influence career choices?
• Can studying subcultures provide insights into youth identity?
• How does migration impact cultural diversity?
• Why do certain communities experience higher crime rates?
• How does socialisation contribute to individual identity?
• Can sociology help us understand voting patterns?
• Can sociology create positive social change?
• Does globalisation have a positive or negative impact on local cultures?
• How do religious beliefs influence social attitudes?
• Why are certain occupations gender-dominated?
• Can sociology inform effective public health campaigns?
• What is the next wave of feminism?
• Why do certain age groups experience social isolation?
• Who is to blame for poverty?
• What effect could polyamorous families have on children?
• How does technology impact social interactions among different generations?
• Has sociology neglected the study of emotions?
• How do social expectations influence individual choices about marriage and family?

25 EPQ Ideas for Sport

• What role does teamwork play in the success of a sports team?
• How important are grassroots sports for social inclusion and community engagement?
• How do sports influence cultural identity and national pride?
• Why are some sports more popular in specific countries?
• Why do people engage in recreational sports?
• Why has women’s football been so slow to develop in the UK compared to men’s football?
• Do popular sports enforce or challenge gender stereotypes?
• Should trans athletes be allowed to compete in standard leagues?
• What can sports rivalries tell us about cultural tensions?
• Can football ultras be considered a subculture movement?
• What are the effects of an international event like the Olympics on the host country?
• How does the accessibility of sports facilities impact participation rates?
• Should sports be mandatory in secondary schools?
• Can sports promote cultural exchange between nations?
• Is Financial Fair Play (FFP) an effective tool for enforcing fairness among football clubs?
• Do sports contribute to the development of social skills in children?
• Why do people engage in sports fandom?
• Why do female footballers experience higher rates of ACL injury than their male counterparts?
• What can sports history tell us about society at the time?
• Should sports clubs make more effort to be diverse and inclusive?
• Who decides what is a sport?
• Do high-level athletes have a responsibility to be role models?
• Should professional athletes be paid more than medical professionals?
• How can we fix the pay gap in sports?
• What is the impact of genetics on sporting success?

Which EPQ Topic Should You Choose?

The ideas above are just a taster for popular EPQ subjects to inspire you. Remember, you can choose any topic you like. Since you’ll be spending six months researching and writing an essay about your chosen topic, it needs to be something you’re interested in.

Hopefully, these EPQ ideas have helped you figure out how to form an interesting question. By putting your own personal spin on an interesting idea, you can start down your pathway to getting a great EPQ grade.

Immerse Yourself in Your EPQ with Expert Help

Embarking on your EPQ is a significant undertaking. However, with the right guidance and resources, you can achieve an A*. Immerse Education offers guided and immersive teaching to elevate your academic experience and help you achieve more.

Looking for a program that not only enhances critical thinking and research abilities but also grants UCAS points? Discover our Accredited Online Research Programme , offering 8 UCAS points upon successful completion today.

Real Alumni Stories

Learn more about our alumni through their success stories.

• Real stories about our Alumni
• Students share their programme experiences
• Case studies from Alumni heading to Oxbridge
• Alumni insights and stats

Empower Your Child's Future: Book Your Complimentary Consultation Now

• Receive tailored advice to match your child's interests and goals.
• Gain insights from our experienced programme consultants.
• Get answers in real-time, making your decision-making process smoother and more informed.

Subscribe to the Immerse Education newsletter for £100 off your programme*

* Terms and Conditions may apply

Download Our Prospectus

• I'm a Parent
• I'm a Student
• First Name *
• Last Name *
• Which subjects interest you? (Optional) Architecture Artificial Intelligence Banking and Finance Biology Biotechnology Business Management Chemistry Coding Computer Science Computer Science and Artificial Intelligence Creative Writing Creative Writing and Film Criminology Data Science and Analytics Earth Science Economics Encryption and Cybersecurity Engineering English Literature Entrepreneurship Fashion and Design Female Future Leaders Film Studies Fine Arts Global Society and Sustainability Health and Biotechnology History International Relations Law Marketing and Entertainment Mathematics Medicine Medicine and Health Sciences Nanotechnology Natural Sciences Philosophy Philosophy Politics and Economics Physics Psychology Software Development and AI Software Development and Gaming Veterinary Studies Online Research Programme

Secure priority enrolment for our new summer school location with a small refundable deposit.

" * " indicates required fields

Receive priority enrolment for new summer school locations by registering your interest below.

Our programme consultant will contact you to talk about your options.

• Family Name *
• Phone Number
• Yes. See Privacy Policy.

Subject is unavailable at location

You have selected a subject that is not available at the location that you have previously chosen.

The location filter has been reset, and you are now able to search for all the courses where we offer the subject.

MA 410: History of Mathematics: Sample Paper Topics

• Getting Started
• Sample Paper Topics
• Primary vs Secondary Sources
• Finding Books
• Finding Articles
• Using MathSciNet
• Style Guides
• Research Summaries
• Interlibrary Loan
• Help & More

Suggested Topics

Here are some topics suggested by your teacher:

• History of perfect numbers from Euclid to the day before yesterday • The influence of social needs on the uses of mathematics • History of the binomial theorem • The quadratic equation • An insight into Islamic mathematics • Goldbach and his famous conjecture • The history of logarithms and logarithm tables • Geometrical mathematical recreations • Prime numbers • The history of trigonometry • Charles Babbage and his engines • Some revolutionary curves • Angle trisection • Relationship of mathematics to music • Comparison of algebra texts from 1900 to today • American mathematics prior to 1875 • How our view of the early history of mathematics has changed in the last 100 years • The dark ages were dark for mathematics, too • Is mathematics discovered or invented? • How new was the new math? • Female mathematicians in history • The books that most changed our present geometry texts • The remarkable Bernoulli family • The rise of periodical literature and how it affected mathematics • The changing nature of function • The calculus priority dispute • The history of linear programming • Quality control, with emphasis on control charts • The role of cryptology in World War II • Navigation and mathematics • The Platonic solids • Mathematics and the early Rabbis • History of Hindu mathematics • The history of pi

• << Previous: Getting Started
• Next: Primary vs Secondary Sources >>
• Last Updated: Jan 26, 2024 10:37 AM
• URL: https://libguides.southalabama.edu/ma410

IB Math EE - Propel Your Mind To A 34/34

Unlock the secrets to acing your IB Math EE with a guaranteed 34/34 score! Propel your mind to success and make the most of your potential. 💯

Table of content

Extended essay & what is it❓, ib math ee vs math ia 🥊 , wth is an ib math extended essay 🌋, a brief about ib math ee 🩲, sexy pointers you can't-miss 🤤, 4 ways to find the right math ee topic ⭕, formulate your research question 🔎, planning your research & essay 📖, structuring your essay 🏗️, ib math ee reflection, what to do 🪞, ib math ee criteria 🧮, ib math ee examples 🛹.

It's time we address the elephant in the room.

IB Mathematics Extended Essay.

There, we said it.

If you've taken up IB Math EE, we're here to tell you that it isn't over, contrary to what you might have heard.

Researching, planning, and finally writing a good IB Math EE is no walk in the park, but rest assured that you'll feel different once you've gone through this valuable document.

Nail IB presents the only comprehensive guide you need to nail your IB Math EE.

Let's keep it accurate.

IB Math EE is a rigorous, independent, academic research essay that calls for,

• a keen interest in Mathematics,
• strong mathematical aptitude & reasoning,
• a focused and disciplined approach, and most importantly,
• essential tips, techniques, and quality guidance.

When one opts for IB Math EE, one should ensure a strong passion for Mathematics and a solid mathematical foundation. Not to mention being willing to devote their time and effort to this self-directed research.

Disclaimer -  If you have second thoughts, you should reconsider and re-evaluate your choice because it's no use aiming in the dark.

There needs to be more!

Invaluable tips and techniques are the last missing piece of the IB Math EE puzzle.

Given the panic and stigma around Math Extended Essay, what students need, is not some more panic; instead, expert guidance to keep them pumped to write their EE papers with skill, precision, and utmost zeal. And so, true to our word, we're here to help you.

Say it out loud for me - I got this!

Before diving any further, we are thrilled to share our premium IB Math resources. Check out the  IB Math AI SL  bundle and the  IB Math AI HL  bundle, including everything from comprehensive, up-to-date video lecture courses by Adam Nazha to curated IB Resource Libraries. All your IB DP Math queries are now answered!

While you're at it, check out our  IB Math AA SL  repository, where Patrick Jones (yep, you got that right, our very own  PatrickJMT  - the best Mathematics instructor in the world) will guide you with a brilliant video lecture course he has created to help you nail your concepts and exams alike! Happy learning!

Returning to our one-stop guide for all things IB Math EE, let us see what this article will cover.

• Extended Essay & What is it ❓
• IB Math EE Vs Math IA  🥊
• WTH Is An IB Math Extended Essay?  🌋
• A Brief About IB Math EE ?  🩲
• Sexy Pointers You Can't Miss  🤤
• 4 Ways To Find The Right Math EE topic  ⭕
• Formulate Your Research Question  🔎
• Planning Your Research and Essay  📖
• Structuring Your Essay  🏗️
• Writing Your Essay Writing Your Reflection  🪞
• IB Math EE Criteria  🧮
• IB Math EE Examples  🛹

First things first, let’s briefly discuss what an Extended Essay is.

As the IB defines it, the Extended Essay is a  4000-word in-depth  study, part of the IB Diploma Programme core mandatory for all students.

A  500-word  reflection component-inclusive of 3 reflections - is submitted with the academic writing.

This, of course, is done under the supervision of your IB advisor. The critical thing to note is that you can choose to write an Extended Essay on any subject offered by the IB in your session, though it is highly recommended you settle on a topic you are studying as a part of your IB curriculum.

The purpose of an Extended Essay is to motivate students to conduct formal research on a subject area of interest, independently work on the chosen research question and gain guidance from their respective IB mentors every step of the way.

The IB highlights the significance of the Extended Essay:

• Hands-on learning for undergraduate research
• An opportunity for students to research an area of interest relating to one of the 6 DP subjects opted for by the student.

The skills the Extended Essay aims to develop in students are:

• Coming up with a relevant Research Question
• Personally engaging with a topic of exploration
• A coherent communication of ideas
• Strong Argument building

For better understanding, go through  this document on Extended Essays   by the IB. It will make things more transparent.

Students often confuse their Internal Assessments with Extended Essays, which is a grave mistake. Gaining clarity on both these components of the IB DP core is essential. Let us understand the significant difference between the two.

• While Internal Assessments require students to investigate and explore an idea, Extended Essays are more formal. Students need to perform primary and secondary research on a research question they choose based on a diverse topic about the subject. Since EE is an independently researched essay, your mentor may only be able to give you some of the answers you wanted, unlike the IA.
• Students must write one Extended Essay on a subject of their choice for their IB Diploma Programme, but I must be prepared for all the topics.
• Internal Assessments are graded internally by the subject instructor and then moderated externally. Extended Essays are marked externally by examiners appointed by the IB. Your grade on your Extended Essay is combined with your Theory of Knowledge Essay/Exhibition score to assign you your overall score/points.

Word of caution:  Do not choose the same investigation topic/research question for your Internal Assessment and the Extended Essay.

For a much better breakdown of the EE document, you must go through our article on the  IB Extended Essay . It contains an IB EE checklist you must attend to and a detailed overview of the structure and planning of the EE.

Now that we’ve got our basics to, let’s get down to business. The fear around IB Math Extended Essay makes the most confident students hesitate and doubt their choices. But we aren’t here to scare you. The myth about the horrors of the IB Math EE isn’t all false; it’s a caution. Because unless you’re prepared with ammunition, strategy, and the will to put in the effort, there’s a slim chance you can survive the Math Extended Essay battle.

If you’ve opted for Math Extended Essay, we assume you have a strong passion for Mathematics. When the going gets tough while working on one’s Extended Essay-which, which is usually the case-your only hope at the end of the tunnel is your drive for the subject you’ve chosen. Being a rigorous subject for writing one’s Extended Essay, Mathematics can be incredibly demanding. So unless you want to play it risky, we suggest you reassess your liking for Mathematics. Once you know for sure, that’s when it begins. Lots of research. Since it is an independently written document, you want to be doing your homework well.

We will further break down the IB Math Extended Essay, from planning to execution, so that you can organize your thoughts and make appropriate decisions.

The Math Extended Essay is an in-depth research document covering any topic with a mathematical focus, i.e., not limited to the mathematics theory (shouldn’t be entirely descriptive). IB has divided Math Extended Essays into six categories:

• the applicability of mathematics to solve both real and abstract problems
• The beauty of mathematics examples includes geometry or fractal theory.
• the application of mathematics in the proving of theorems, for example, number theory
• the history of mathematics: the origin and subsequent development of a branch of mathematics over some time, measured in tens, hundreds, or thousands of years
• the effect of technology on mathematics
• in creating links between different branches of mathematics,
• Or in bringing about a new branch of mathematics or causing a particular unit to flourish.

Your Math EE topic should be an extension of your IB Maths syllabus or the practical application of the knowledge you’ve gained in class.

Before moving on to the planning and structure of the Math Extended Essay, here are some pointers you absolutely cannot afford to miss:

• Attempting a Math EE requires a decent amount of hard work. While conducting preliminary research, ensure you land on a topic you can personally engage with and are familiar with. Going for a complicated subject, you can’t comprehend and interpret futile.
• The mathematical work you put in will have to meet a certain level of sophistication, so avoid going for a topic that gives rise to a trivial research question. Your research question shouldn’t be too generic or broad on similar lines. Ensure you can sufficiently narrow down your area of investigation.
• Another thing to remember is that the topic you finally choose should have a good research foundation and room for a novel contribution.
• Incorporate Primary and Secondary research wherever appropriate.
• Proper Referencing should be done for the essay.
• For Reflection, emphasize the Planning, Research, and Writing Processes.

Spitball ideas -  You begin here. Write down any interesting ideas you can come up with. This is your brainstorming session.

Do your Research -  You could not, would not want to meddle with this step, let alone skip it. Research. Read reports, articles, and documentation. Keep jotting important points down simultaneously. The study will and must go on throughout your search for the right math EE topic.

Approach professors/professionals/experts -  Contact concerned lecturers, professors, and industry professionals. They can provide you with invaluable insights. It would be best if you also discussed ideas with your mentor.

Point to Note -  Your goal should be to find a topic you understand and contribute to. It is always recommended to refer to your Math syllabus; something there inspires you to get the ball rolling!

Your essay will be structured as a document answering the Research Question you’re working on. It should be focused, clear and arguable. You will build your essay around your Research Question; hence pay close attention to it.

All you will include in your essay must be mentioned in your Research Question. This means the focused area you will be exploring and the methods you will use to achieve a plausible outcome.

Honing your Research Question is a continuous process. If it appears relatively easy or complex, please rephrase it. Good Research Questions may start with: “How can we model…”, “To what extent…” etc.

Collect Primary and Secondary data and incorporate it wherever appropriate.

Primary sources for Math research include 

• Data-gathering
• Visualization
• Abstraction
• Conjecturing

A few sources to gather Secondary data include Google Scholar, textbooks, databases such as JSTOR, etc. For your essay, know your aims and devise a step-by-step plan to answer your research question while maintaining a mathematical focus.

• Though you can approach your essay in whichever way you like, there should be a consistent logical structure.
• The work done in your essay should develop to answer your research question.
• Subheadings will provide your work with much-needed coherence and viability.
• Describe your way of thinking
• Write definitions and Conjectures.
• Use symbols, theorems, graphs, and diagrams
• Justify your conclusions.
• Visual aids such as graphs and diagrams should be included in the body, while tables and computer programs should be mentioned in the footnotes or the appendix.
• Data must be analyzed appropriately using relevant techniques, correctly reasoned arguments, and adequate methodology to achieve a result.
• Provide the necessary explanation and commentary for all your work.
• Throughout the writing, you may need to re-evaluate the method, approach, and structure to fit the word count adequately.

Once you’re finished writing, you will have to reassess everything from scratch- the equations, the theory, etc., to ensure the coherence of your essay.

• The three reflections should highlight how the process of writing your essay changed in due course of work and what you’ve learned from it.
• The Reflection should emphasize the planning, research, and writing process.
• You should discuss your choices, the re-evaluations you had to make, the limitations of your work, and how you overcame them, if at all.
• The three reflections are written at the beginning, mid, and towards the end of your essay and should have a word limit of approximately 150, 150, and 200, respectively.

Extended Essays are assessed externally by IB-appointed examiners and are marked on a scale of 0 to 34. The score obtained by a student corresponds to a particular band. The bands are:

A -  refers to work of an excellent standard (Level 6)

B -  refers to the creation of a good standard (Level 6)

C -  refers to work of a satisfactory standard (Level-12)

D -  refers to the product of a mediocre standard (Level 4)

E -  refers to the design of an elementary average (Level 6)

Anything below D will be considered a failing grade, and the student will not be awarded the IB diploma.  As we said, your EE is not a component you can mess up.

The Extended Essay Rubric includes the following Assessment Criteria:

Criterion A -   Focus and Method (Covers the topic, research question, and methodology)

Criterion B -  Knowledge and Understanding (Covers context, subject-specific terminology, and concepts)

Criterion C -  Critical Thinking (Covers research, analysis, discussion, and evaluation)

Criterion D -  Presentation (Covers structure, layout)

Criterion E -  Engagement (Covers reflection on planning and progress)

Now that we’ve discovered and learned about the process of writing a Math EE, here are a couple of ideas to give you an idea about how your Math EE questions should be framed:

Topic -  Archimedes’ calculation of areas

Research Question -  What is the legacy of Archimedes’ calculations of circular and parabolic areas in today’s integration methods?

Topic -  Approximation of irrational numbers by rational numbers

Research Question -  How well can π, e, √2, and other irrationals be approximated by rational numbers?

Topic -   The geometry of navigation

Research Question -  What was the role of mathematics and geometry in navigation when we relied on the stars? Does it still play a part now we have manufactured satellites?

You should also check out this  sample band, A Math EE, published by the IB . This will give you an honest insight into making a band-A essay. Also, go through  band B, C, and D extended essays  to understand the loopholes to avoid.

And that’s a wrap!

We hope this comprehensive IB Math EE guide answers your queries regarding the EE. We also suggest you go through  this IB Extended Essay guide  to clarify the Extended Essay component of your IB DP curriculum. You should also try Nail IB’s Extended Essay guide; check it out  here !

At Nail IB, we’re committed to delivering A-quality guidance so that your IB DP journey is smooth and successful. You can explore  our take-test  series here and access   premium guides  here.

Happy learning!

IB Resources you will love!

Top 100 Math Essay Topics for Students

Sep 2, 2021 | 0 comments

Sep 2, 2021 | Topics | 0 comments

Math is a science that deals with the logic of numbers, quantities, arrangements, and shapes. Although math doesn’t deal much with words, students in high schools and colleges are sometimes required to write essays. Students often wonder why they have to write math essays. Still, essentially this allows them an opportunity to discover how mathematics intersects into their lives and others around us. Many people struggle coming up with topics which is why we want to help you find your inspiration! As you scroll down, you will find some interesting math essay topics . These ideas are not only engaging but illuminating too! We took our time to gather the best possible essays for students so that they don’t end up in a stressful situation at school. Topics from popular and unpopular mathematics are also included below-you can be confident of your success if you choose one here!

Table of Contents

Top Math Essay Topics

• How game developers apply the knowledge of Math
• Are Asians More Proficient in Math Than the Rest of the World?
• My Experience As a Student of Math
• Why the society can’t exist without the knowledge of Math
• Math and everyday life
• The Math in Volleyball
• History of Math Education in The World
• Math And The Past Years
• School Of Math And Science
• How To Build Math Skills
• Teaching Math Beyond Everyday Math
• Is Classroom Enough For Learning Math?
• Beyond Pythagoras Math Investigation
• The best way to approach a math problem
• Japan vs. The United States in Math and Science
• How to become proficient in Math
• My Job As A Math Teacher
• Math Problems For Extra Credit
• The importance of geometry to the physical world
• Math And Technology Applications
• Math And Verbal Sections
• The importance of math in the construction industry
• Do I Have A Math Phobia?
• The math in nature
• Why Should Schools Require Math?
• Trigonometry in Daily Life
• Math Hidden Faces Investigation
• Impressions Of An Average Student About Math
• The Dynamics Of Math
• Maths Is Everywhere
• Solving Math Solutions Manuals
• Do Americans Really Stink At Math?
• What the World Would Look Like Without Math
• Graduation Speech: Math And Technology
• Advanced Math Solutions
• Is math really a science?
• The Common Causes of Math Anxiety
• Is There a Relation Between Music and Math?
• Can Math alter the brain map of students?
• Egyptian Math
• How to Overcome the Common Problems Students Face in Maths
• Encouraging Girls in Math and Science
• What Is Math Learning Disability?
• Teaching Math: A College Teacher
• Math Is All Around Us
• How to overcome your fear of Math
• The Role of the Proof in Math
• Can Expressive Writing Improve the Performance of Students in Math Test
• The math in basketball
• Math is the Universal Language
• My Experience With Learning Math
• Ways Of Imparting Math Skills
• Engagement in Math in Second Graders
• Math Solutions
• Pythagora’s Contributions to Math
• How the FBI Uses Math
• Math Coursework
• Qualities That Make a Math Teacher Great
• Math in Special Education
• Elementary School Math Lesson Plan
• Math Problems That Don’t Seems to Have Solutions
• How the knowledge of Maths has changed the world
• The New Math of Gambling
• My Experience With Math Class
• The World Of Science And Math
• Math Intervention for State Exams
• How math applies to our daily lives
• Behavior Of The Logistic Equation
• New Technologies That Assist Students With Math Problems
• Statistics On Math
• Math in Medieval Times
• Mathematical Analysis
• Coming From A Math Background
• Gender Equity in Math
• Vertex-Edge Graphs Tutoring
• Mathematical principles that everyone applies unconsciously
• The History of Mathematics in Europe
• Math, Architecture, And Games
• Why Is Math Important for Success?
• The Role of Recreational Math
• What Students Can Do About Math Anxiety
• Who should learn math?
• Math And Owning A Restaraunt
• Math Is A Problem Solving Attitude
• Use of Math in Auto Racing
• How Math Is Raising Our Standard Of Living Every Day
• The Issue of Bad Math
• The Impact Of Music On Math Performance
• The Relationship Between Psychology and Math
• Asian Student‘s Math Test
• The solution of the Cubic Equation

Get Help from the Experts with your Math Essay Topics  Paper

We know that you want to ace your math essay, but it can be challenging coming up with a topic. You need help from an expert! Let us provide the perfect solution for all of your math-related problems. We have professional writers who are experienced in writing high school and college-level essays on any subject imaginable. Our company is dedicated to providing every customer with excellent service and superior quality work at affordable prices. Place your order now and get started working towards success today! What topics would you like our experts to write about?  

With a passion for education and student empowerment, I create blog content that speaks directly to the needs and interests of students. From study hacks and productivity tips to career exploration and personal development

People Also Read

• Top 100 Biology Essay Topics for Students
• Top 100 Road Essay Topics for Students

Most Popular Articles

Racism thesis statement example, how to rephrase a thesis statement, capstone project topic suggestions, how to write an abortion essay, should students wear school uniforms essay, list causal essay topics write, respect essay, signal words, great synonyms, informative speech examples, essay writing guide, introduction paragraph for an essay, argumentative essay writing, essay outline templates, write an autobiographical essay, personal narrative essay ideas, descriptive essay writing, how to write a reflective-essay, how to write a lab report abstract, how to write a grant proposal, point of view in an essay, debate topics for youth at church, theatre research paper topics, privacy overview.

• Skip to main content
• Skip to secondary menu
• Skip to primary sidebar
• Skip to footer

A Plus Topper

Improve your Grades

Math Essay | Essay on Math for Students and Children in English

February 13, 2024 by Prasanna

Math Essay: Mathematics is generally defined as the science that deals with numbers. It involves operations among numbers, and it also helps you to calculate the product price, how many discounted prizes here, and If you good in maths so you can calculate very fast. Mathematicians and scientists rely on mathematics principles in their real-life to experiments with new things every day. Many students say that ” I hate mathematics ” and maths is a useless subject, but it is wrong because without mathematics your life is tough to survive. Math has its applications in every field.

You can also find more  Essay Writing  articles on events, persons, sports, technology and many more.

Long and Short Essays on Math for Students and Kids in English

We are presenting students with essay samples on an extended essay of 500 words and a short of 150 words on the topic of math for reference.

Long Essay on Math 500 Words in English

Long Essay on Math is usually given to classes 7, 8, 9, and 10.

Mathematics is one of the common subjects that we study since our childhood. It is generally used in our daily life. Every person needs to learn some basics of it. Even counting money also includes math. Every work is linked with math in some way or the other. A person who does math is called a Mathematician.

Mathematics can be divided into two parts. The first is Pure mathematics, and the second is Applied mathematics. In Pure mathematics, we need to study the basic concept and structures of mathematics. But, on the other side, Applied mathematics involves the application of mathematics to solve problems that arise in various areas,(e.g.), science, engineering, and so on.

One couldn’t imagine the world without math. Math makes our life systematic, and every invention involves math. No matter what action a person is doing, he should know some basic maths. Every profession involves maths. Our present-day world runs on computers, and even computer runs with the help of maths. Every development that happens requires math.

Mathematics has a wide range of applications in our daily life. Maths generally deals with numbers. There are various topics in math, such as trigonometry; integration; differentiation, etc. All the subjects such as physics; chemistry; economy; commerce involve maths in some way or the other. Math is also used to find the relation between two numbers, and math is considered to be one of the most challenging subjects to learn. Math includes various numbers, and many symbols are used to show the relation between two different numbers.

Math is complicated to learn, and one needs to focus and concentrate more. Math is logical sometimes, and the logic needs to be derived out. Maths make our life easier and more straightforward. Math is considered to be challenging because it consists of many formulas that have to be learned, and many symbols and each symbol generally has its significance.

Some of the advantages of Math in our daily life

• Managing Money: Counting money and calculating simple interest, compound interest includes the usage of mathematics. Profit and loss are also computed using maths. Anything related to maths contains maths.
• Cooking: Maths is even used in cooking as estimating the number of ingredients that have to be used is calculated in numbers. Proportions also include maths.
• Home modelling: Calculating the area is essential in the construction of the home or home modelling. The size is also measured using maths. Even heights are also measured using maths.
• Travelling: Distance between two places and time taken to travel also includes maths. The amount of time taken revolves around maths. Almost every work is related to maths in some way or another. Maths contains some conditions that need to be followed, and maths has several formulas that have to be learned to become a mathematician.

Short Essay on Math 150 Words in English

Short Essay on Math is usually given to classes 1, 2, 3, 4, 5, and 6.

Maths is generally defined as the science of numbers and the operations performed among them. It deals with both alphabets along with numbers and involves addition, subtraction, multiplication, division, comparison, etc. It is used in every field. Maths consists of finding a relation between numbers, calculating the distance between two places, counting money, calculating profit and loss.

It is of two types pure and applied. Pure math deals with the basic structure and concept of maths, whereas applied mathematics deals with how maths is used it involves the application of maths in our daily life. All the subjects include maths, and hence maths is considered to be one of the primary and joint issues which need to be learned by everyone. One couldn’t imagine their life using maths. It has made our experience easy and straightforward. It has prevented chaos in our daily life. Hence learning maths is mandatory for everyone.

10 Lines on Math in English

• Father of Mathematics was Archimedes.
• Hypatia is the first woman know to know to have taught mathematics.
• From 0-1000 ,letter “A” only appears first in 1,000 ( “one thousand “).
• Zero (0) is the only number that can not be represented by Roman numerals.
• The Sign plus (+) and Minus(-) were discovered in 1489 A.D.
• Do you know that a Baseball field is of the perfect shape of a Rhombus.
• Jiffy is considered to be a unit of time for 1/100th of a second.
• 14th March International Day of Mathematics.
• Most mathematics symbols weren’t invented until the 16th century.
• The symbols for the division is called an Obelus.

FAQ’s on Math Essay

Question 1. What is Mathematics in simple words?

Answer: Mathematics is the study of shapes, patterns, numbers, and more. It involves a comparison between two numbers and calculating the distance between two places.

Question 2. Do we need mathematics every day?

Answer: Yes, we need mathematics every day, from buying a product to sell anything you want. Maths is present in our daily life, and no matter what work we do, maths is involved, and the application of maths is current in our everyday life.

Question 3. Who was the No.1 Mathematicians in the world?

Answer: Isaac Newton, who was a profound mathematician, is considered to be one of the best mathematicians in the world.

Question 4. What are the applications of maths?

Answer: Maths have various applications in our daily life. Maths is present everywhere from counting money to the calculating distance between two places. We could find math applications around.

• Picture Dictionary
• English Speech
• English Slogans
• English Letter Writing
• English Essay Writing
• English Textbook Answers
• Types of Certificates
• ICSE Solutions
• Selina ICSE Solutions
• ML Aggarwal Solutions
• HSSLive Plus One
• HSSLive Plus Two
• Kerala SSLC
• Distance Education

• Essay on the 21st century technology
• Essay on Technology and Society
• Social issues essay example
• 20 topics on Chemistry
• Writing a strong essay about education problems
• Tips for a political science essay introduction
• Essay on technology forecasting
• Technology in education essay
• Ideas for physical education essay
• 6 Sources to check
• Places where students can buy essay cheap

12 Strong Topic Ideas For A Math Extended Essay

Writing a math extended essay can be quite a challenge unless you are using an IB extended essay writing service . You have many factors to consider such as following the right format, choosing the best approach for your study, and defending your thesis (if required). So choosing an engaging topic that pertains to today’s issues is a crucial first step when you are in the planning stages.

Obviously, mathematics are your primary interest or else you wouldn’t have this assignment, to begin with due to not being enrolled in a course that goes above and beyond Algebra 102 or Geometry 104. (Even if you’re forced to endure a statistics course, you would have some interest in mathematical data or at least possess an awareness of working with numbers in your chosen field.) So one bit of advice on selecting a topic for your extended essay topics is to combine your intrigue with math with a problem, scenario or specific career domain (e.g.: medical, technology, sociology, business, etc.) that will not only hold your attention but also relate to current trends or events.

So here some suggestions for fascinating math essay topics to get you started:

In the area of education, some possible themes are:

• Possible correlation between district-level standardized test scores or GPA’s and performance on the SAT
• Prevalence of stress and coping skills of secondary university-bound students (Think ratios and statistics)
• Effectiveness of literacy programs (school or community-wide) towards improving reading skills (You can probably narrow down to an age range or grade level(s))

For the medical field, the possibilities are endless. Consider these three suggestions:

• Possible direct correlation between usage of “antibacterial” products, like hand sanitizer for instance and the rise of the “Super Bug.”
• The odds of another pandemic, similar to the 1918 worldwide influenza outbreak, occurring
• The impact of advertising on childhood obesity (Again, think ratios, statistics, and probability)

In the realm of computer technology, you can look into any one of these subjects:

• Best formula and combinations for SEO
• The use of prime numbers and modular arithmetic to maintain privacy with RSA Public Key Cryptography
• Correlation between the use of electronic pay services (Skrill for example) and users’ professions.

Of course, there are a variety of areas to explore within the content of math itself and its applications. Some possibilities include the following:

• Study of alternatives to Euclidean geometry and their applications
• Close study of Sophie Germain’s Theorem
• Real life dilemmas that can be solved with strategies of complex number problem-solving

As you can see, there are many different subjects to explore when writing about mathematical concepts and how they relate to the real world. You can dive more into the content area of science and hypothesize the route(s) of a comet that could impact the earth. Concerning sociological and psychological studies, you can look into various statistical investigations of human behavior. Another rather amusing numerical investigation could involve a study of probability in gambling venues or about other types of gaming, like Fantasy Football. (Be careful with your finances, though.)

However, some tips to remember as you examine these topics is to choose the “sub-area” that interests you the most (unless it’s all about the math), as you will devote a lot of time to this project; make sure you have a clear and measurable hypothesis; and clarify any questions on format with your instructor. With these recommendations and a lot of calculating, you will compose the perfect paper.

Helpful Sources

Writing Tips

• Essay intro on math algorithms
• Paper about the chemistry of water

Essays on Mathematics

IB Maths Resources from Intermathematics

IB Maths Resources: 300 IB Maths Exploration ideas, video tutorials and Exploration Guides

Maths IA – 300 Maths Exploration Topics

Maths ia – 300 maths exploration topics:.

Scroll down this page to find over  300 examples of maths IA exploration topics and ideas for IB mathematics students doing their internal assessment (IA) coursework.  Topics include Algebra and Number (proof), Geometry, Calculus, Statistics and Probability, Physics, and links with other subjects.  Suitable for Applications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL).

New online Maths IA Course!

I have just made a comprehensive online course:  Getting a 7 in IB Maths Coursework . 

Gain the inside track on what makes a good coursework piece from an IB Maths Examiner as you learn all the skills necessary to produce something outstanding.  This course is written for current IB Mathematics students.  There is more than 240 minutes of video tutorial content as well as a number of multiple choice quizzes to aid understanding.  There are also a number of pdf downloads to support the lesson content.  I think this will be really useful – check it out!

Modelling allows us to predict real world events using mathematical functions.  

Why is this topic a good idea?

This topic is a nice combination of graphical skills, regression and potentially calculus.  It easily links to the real world and so is easy to find engaging ideas.

Some suggested ideas:

Calculus and Physics

Calculus allows us to understand rates of change and therefore motion over time.  It’s one of the most powerful tools ever invented.

This topic allows a nice demonstration of calculus skills, often links with graphical ideas and is easy to create real world links.

Data and Probability

The modern currency of the internet is data – and data collection and data interpretation skills are essential.

This topic if done well can bring in ideas of probability, statistics and other branches of mathematics.

Statistics and data analysis are important skills in business and science.  There are many different tests which help us understand the significance of results

This topic if done well can allow students to do some experiments and investigations

Geometry connects us with mathematics done for over 2000 years by the likes of Euclid done with compasses and rulers.

This topic is a nice combination of graphical skills and the ability to apply to new situations.

Pure Mathematics

Pure mathematics allows us to experience ideas of proof and gets us closer to what “real” mathematicians do.  

This topic is a nice chance to explore ideas in proof, number theory and complex numbers.

Matrices and computing

Here are some more interesting topic ideas spanning a variety of mathematical fields – linking to matrices and computational ideas

Using matrices to make fractals

Google page rank – billion dollar maths!

Further ideas

If the ideas above aren’t enough I’ve also added even more ideas and links below.  Please explore!

1) Modular arithmetic – This technique is used throughout Number Theory. For example, Mod 3 means the remainder when dividing by 3.

2) Goldbach’s conjecture: “Every even number greater than 2 can be expressed as the sum of two primes.” One of the great unsolved problems in mathematics.

3) Probabilistic number theory

4) Applications of complex numbers : The stunning graphics of Mandelbrot and Julia Sets are generated by complex numbers.

5) Diophantine equations : These are polynomials which have integer solutions. Fermat’s Last Theorem is one of the most famous such equations.

6) Continued fractions : These are fractions which continue to infinity. The great Indian mathematician Ramanujan discovered some amazing examples of these.

7) Patterns in Pascal’s triangle : There are a large number of patterns to discover – including the Fibonacci sequence.

8) Finding prime numbers : The search for prime numbers and the twin prime conjecture are some of the most important problems in mathematics. There is a $1 million prize for solving the Riemann Hypothesis and $250,000 available for anyone who discovers a new, really big prime number.

9) Random numbers

10) Pythagorean triples : A great introduction into number theory – investigating the solutions of Pythagoras’ Theorem which are integers (eg. 3,4,5 triangle).

11) Mersenne primes : These are primes that can be written as 2^n -1.

12) Magic squares and cubes : Investigate magic tricks that use mathematics. Why do magic squares work?

13) Loci and complex numbers

14) Egyptian fractions : Egyptian fractions can only have a numerator of 1 – which leads to some interesting patterns. 2/3 could be written as 1/6 + 1/2. Can all fractions with a numerator of 2 be written as 2 Egyptian fractions?

15) Complex numbers and transformations

16) Euler’s identity: An equation that has been voted the most beautiful equation of all time, Euler’s identity links together 5 of the most important numbers in mathematics.

17) Chinese remainder theorem . This is a puzzle that was posed over 1500 years ago by a Chinese mathematician. It involves understanding the modulo operation.

18) Fermat’s last theorem : A problem that puzzled mathematicians for centuries – and one that has only recently been solved.

19) Natural logarithms of complex numbers

20) Twin primes problem : The question as to whether there are patterns in the primes has fascinated mathematicians for centuries. The twin prime conjecture states that there are infinitely many consecutive primes ( eg. 5 and 7 are consecutive primes). There has been a recent breakthrough in this problem.

21) Hypercomplex numbers

22) Diophantine application: Cole numbers

23) Perfect Numbers: Perfect numbers are the sum of their factors (apart from the last factor). ie 6 is a perfect number because 1 + 2 + 3 = 6.

24) Euclidean algorithm for GCF

25) Palindrome numbers: Palindrome numbers are the same backwards as forwards.

26) Fermat’s little theorem : If p is a prime number then a^p – a is a multiple of p.

27) Prime number sieves

28) Recurrence expressions for phi (golden ratio): Phi appears with remarkable consistency in nature and appears to shape our understanding of beauty and symmetry.

29) The Riemann Hypothesis – one of the greatest unsolved problems in mathematics – worth $1million to anyone who solves it (not for the faint hearted!)

30) Time travel to the future : Investigate how traveling close to the speed of light allows people to travel “forward” in time relative to someone on Earth. Why does the twin paradox work?

31) Graham’s Number – a number so big that thinking about it could literally collapse your brain into a black hole.

32) RSA code – the most important code in the world? How all our digital communications are kept safe through the properties of primes.

33) The Chinese Remainder Theorem : This is a method developed by a Chinese mathematician Sun Zi over 1500 years ago to solve a numerical puzzle. An interesting insight into the mathematical field of Number Theory.

34) Cesaro Summation: Does 1 – 1 + 1 – 1 … = 1/2? . A post which looks at the maths behind this particularly troublesome series.

35) Fermat’s Theorem on the sum of 2 squares – An example of how to use mathematical proof to solve problems in number theory.

36) Can we prove that 1 + 2 + 3 + 4 …. = -1/12 ? How strange things happen when we start to manipulate divergent series.

37) Mathematical proof and paradox – a good opportunity to explore some methods of proof and to show how logical errors occur.

38) Friendly numbers, Solitary numbers, perfect numbers. Investigate what makes a number happy or sad, or sociable! Can you find the loop of infinite sadness?

39) Zeno’s Paradox – Achilles and the Tortoise – A look at the classic paradox from ancient Greece – the philosopher “proved” a runner could never catch a tortoise – no matter how fast he ran.

40) Stellar Numbers – This is an excellent example of a pattern  sequence investigation. Choose your own pattern investigation for the exploration.

41) Arithmetic number puzzle – It could be interesting to do an exploration where you solve number problems – like this one.

42)  Normal Numbers – and random number generators  – what is a normal number – and how are they connected to random number generators?

43)  Narcissistic Numbers  – what makes a number narcissistic – and how can we find them all?

44)  Modelling Chaos  – how we can use grahical software to understand the behavior of sequences

45) The Mordell Equation .  What is the Mordell equation and how does it help us solve mathematical problems in number theory?

46) Ramanujan’s Taxi Cab and the Sum of 2 Cubes .  Explore this famous number theory puzzle.

47) Hollow cubes and hypercubes investigation.  Explore number theory in higher dimensions!

48) When do 2 squares equal 2 cubes?  A classic problem in number theory which can be solved through computational power.

49) Rational approximations to irrational numbers.  How accurately can be approximate irrationals?

50) Square triangular numbers.  When do we have a square number which is also a triangular number?

51) Complex numbers as matrices – Euler’s identity.  We can use a matrix representation of complex numbers to test whether Euler’s identity still holds.

52) Have you got a Super Brain?  How many different ways can we use to solve a number theory problem?

1a)  Non-Euclidean geometries:  This allows us to “break” the rules of conventional geometry – for example, angles in a triangle no longer add up to 180 degrees. In some geometries triangles add up to more than 180 degrees, in others less than 180 degrees.

1b)  The shape of the universe  – non-Euclidean Geometry is at the heart of Einstein’s theories on General Relativity and essential to understanding the shape and behavior of the universe.

2)  Hexaflexagons:  These are origami style shapes that through folding can reveal extra faces.

3)  Minimal surfaces and soap bubbles : Soap bubbles assume the minimum possible surface area to contain a given volume.

4)  Tesseract – a 4D cube : How we can use maths to imagine higher dimensions.

5)  Stacking cannon balls:  An investigation into the patterns formed from stacking canon balls in different ways.

6)  Mandelbrot set and fractal shapes : Explore the world of infinitely generated pictures and fractional dimensions.

7)  Sierpinksi triangle : a fractal design that continues forever.

8)  Squaring the circle : This is a puzzle from ancient times – which was to find out whether a square could be created that had the same area as a given circle. It is now used as a saying to represent something impossible.

9)  Polyominoes : These are shapes made from squares. The challenge is to see how many different shapes can be made with a given number of squares – and how can they fit together?

10)  Tangrams:  Investigate how many different ways different size shapes can be fitted together.

11)  Understanding the fourth dimension:  How we can use mathematics to imagine (and test for) extra dimensions.

12)  The Riemann Sphere  – an exploration of some non-Euclidean geometry. Straight lines are not straight, parallel lines meet and angles in a triangle don’t add up to 180 degrees.

13)  Graphically understanding complex roots  – have you ever wondered what the complex root of a quadratic actually means graphically? Find out!

14)  Circular inversion  – what does it mean to reflect in a circle? A great introduction to some of the ideas behind non-euclidean geometry.

15)  Julia Sets and Mandelbrot Sets  – We can use complex numbers to create beautiful patterns of infinitely repeating fractals. Find out how!

16)  Graphing polygons investigation.   Can we find a function that plots a square?  Are there functions which plot any polygons?  Use computer graphing to investigate.

17)  Graphing Stewie from Family Guy.  How to use graphic software to make art from equations.

18)  Hyperbolic geometry  – how we can map the infinite hyperbolic plane onto the unit circle, and how this inspired the art of Escher.

19)  Elliptical Curves – how this class of curves have importance in solving Fermat’s Last Theorem and in cryptography.

20)  The Coastline Paradox  – how we can measure the lengths of coastlines, and uses the idea of fractals to arrive at fractional dimensions.

21)  Projective geometry  –  the development of geometric proofs based on points at infinity.

22)  The Folium of Descartes . This is a nice way to link some maths history with studying an interesting function.

23)  Measuring the Distance to the Stars . Maths is closely connected with astronomy – see how we can work out the distance to the stars.

24)  A geometric proof for the arithmetic and geometric mean . Proof doesn’t always have to be algebraic. Here is a geometric proof.

25)  Euler’s 9 Point Circle . This is a lovely construction using just compasses and a ruler.

26)  Plotting the Mandelbrot Set  – using Geogebra to graphically generate the Mandelbrot Set.

27)  Volume optimization of a cuboid   – how to use calculus and graphical solutions to optimize the volume of a cuboid.

28)  Ford Circles – how to generate Ford circles and their links with fractions.

29)  Classical Geometry Puzzle: Finding the Radius . This is a nice geometry puzzle solved using a variety of methods.

30)  Can you solve Oxford University’s Interview Question? .  Try to plot the locus of a sliding ladder.

31)  The Shoelace Algorithm to find areas of polygons .  How can we find the area of any polygon?

32)  Soap Bubbles, Wormholes and Catenoids . What is the geometric shape of soap bubbles?

33)  Can you solve an Oxford entrance question?   This problem asks you to explore a sliding ladder.

34)  The Tusi circle  – how to create a circle rolling inside another circle using parametric equations.

35)  Sphere packing  – how to fit spheres into a package to minimize waste.

36)  Sierpinski triangle  – an infinitely repeating fractal pattern generated by code.

37)  Generating e through probability and hypercubes .  This amazing result can generate e through considering hyper-dimensional shapes.

38)  Find the average distance between 2 points on a square .  If any points are chosen at random in a square what is the expected distance between them?

39)  Finding the average distance between 2 points on a hypercube .  Can we extend our investigation above to a multi-dimensional cube?

40)  Finding focus with Archimedes.   The Greeks used a very different approach to understanding quadratics – and as a result had a deeper understanding of their physical properties linked to light and reflection.

41)  Chaos and strange Attractors: Henon’s map .  Gain a deeper understanding of chaos theory with this investigation.

Calculus/analysis and functions

1)  The harmonic series:  Investigate the relationship between fractions and music, or investigate whether this series converges.

2)  Torus – solid of revolution : A torus is a donut shape which introduces some interesting topological ideas.

3)  Projectile motion:  Studying the motion of projectiles like cannon balls is an essential part of the mathematics of war. You can also model everything from Angry Birds to stunt bike jumping. A good use of your calculus skills.

4)  Why e is base of natural logarithm function:  A chance to investigate the amazing number e.

5)  Fourier Transforms – the most important tool in mathematics?  Fourier transforms have an essential part to play in modern life – and are one of the keys to understanding the world around us. This mathematical equation has been described as the most important in all of physics. Find out more! (This topic is only suitable for IB HL students).

6)  Batman and Superman maths  – how to use Wolfram Alpha to plot graphs of the Batman and Superman logo

7)  Explore the Si(x) function  – a special function in calculus that can’t be integrated into an elementary function.

8)  The Remarkable Dirac Delta Function . This is a function which is used in Quantum mechanics – it describes a peak of zero width but with area 1.

9)  Optimization of area – an investigation . This is an nice example of how you can investigation optimization of the area of different polygons.

10)  Envelope of projectile motion .  This investigates a generalized version of projectile motion – discover what shape is created.

11)  Projectile Motion Investigation II . This takes the usual projectile motion ideas and generalises them to investigate equations of ellipses formed.

12)  Projectile Motion III: Varying gravity .  What would projectile motion look like on different planets?

13)  The Tusi couple – A circle rolling inside a circle . This is a lovely result which uses parametric functions to create a beautiful example of mathematical art.

14)  Galileo’s Inclined Planes .  How did Galileo achieve his breakthrough understanding of gravity?  Follow in the footsteps of a genius!

Statistics and modelling 1 [topics could be studied in-depth]

1) Traffic flow : How maths can model traffic on the roads.

2) Logistic function and constrained growth

3)  Benford’s Law  – using statistics to catch criminals by making use of a surprising distribution.

4)  Bad maths in court  – how a misuse of statistics in the courtroom can lead to devastating miscarriages of justice.

5)  The mathematics of cons  – how con artists use pyramid schemes to get rich quick.

6)  Impact Earth  – what would happen if an asteroid or meteorite hit the Earth?

7)  Black Swan events  – how usefully can mathematics predict small probability high impact events?

8)  Modelling happiness  – how understanding utility value can make you happier.

9)  Does finger length predict mathematical ability?  Investigate the surprising correlation between finger ratios and all sorts of abilities and traits.

10) Modelling epidemics/spread of a virus

11)  The Monty Hall problem  – this video will show why statistics often lead you to unintuitive results.

12) Monte Carlo simulations

13) Lotteries

14)  Bayes’ theorem : How understanding probability is essential to our legal system.

15)  Birthday paradox:  The birthday paradox shows how intuitive ideas on probability can often be wrong. How many people need to be in a room for it to be at least 50% likely that two people will share the same birthday? Find out!

16)  Are we living in a computer simulation?  Look at the Bayesian logic behind the argument that we are living in a computer simulation.

17)  Does sacking a football manager affect results ? A chance to look at some statistics with surprising results.

18)  Which times tables do students find most difficult?  A good example of how to conduct a statistical investigation in mathematics.

19)  Introduction to Modelling.  This is a fantastic 70 page booklet explaining different modelling methods from Moody’s Mega Maths Challenge.

20)  Modelling infectious diseases  – how we can use mathematics to predict how diseases like measles will spread through a population

21)  Using Chi Squared to crack codes  – Chi squared can be used to crack Vigenere codes which for hundreds of years were thought to be unbreakable. Unleash your inner spy!

22)  Modelling Zombies  – How do zombies spread? What is your best way of surviving the zombie apocalypse? Surprisingly maths can help!

23)  Modelling music with sine waves  – how we can understand different notes by sine waves of different frequencies. Listen to the sounds that different sine waves make.

24)  Are you psychic?  Use the binomial distribution to test your ESP abilities.

25)  Reaction times  – are you above or below average? Model your data using a normal distribution.

26)  Modelling volcanoes  – look at how the Poisson distribution can predict volcanic eruptions, and perhaps explore some more advanced statistical tests.

27)  Could Trump win the next election ? How the normal distribution is used to predict elections.

28)  How to avoid a Troll  – an example of a problem solving based investigation

29)  The Gini Coefficient  – How to model economic inequality

30)  Maths of Global Warming – Modeling Climate Change  – Using Desmos to model the change in atmospheric Carbon Dioxide.

31)  Modelling radioactive decay   – the mathematics behind radioactivity decay, used extensively in science.

32)  Circular Motion: Modelling a Ferris wheel . Use Tracker software to create a Sine wave.

33)  Spotting Asset Bubbles . How to use modeling to predict booms and busts.

34)  The Rise of Bitcoin . Is Bitcoin going to keep rising or crash?

35)  Fun with Functions! . Some nice examples of using polar coordinates to create interesting designs.

36)  Predicting the UK election using linear regression . The use of regression in polling predictions.

37)  Modelling a Nuclear War . What would happen to the climate in the event of a nuclear war?

38)  Modelling a football season .  We can use a Poisson model and some Excel expertise to predict the outcome of sports matches – a technique used by gambling firms.

39) Modeling hours of daylight  – using Desmos to plot the changing hours of daylight in different countries.

40)  Modelling the spread of Coronavirus (COVID-19) . Using the SIR model to understand epidemics.

41)  Finding the volume of a rugby ball (or American football) .  Use modeling and volume of revolutions.

42)  The Martingale system paradox.   Explore a curious betting system still used in currency trading today.

Statistics and modelling 2 [more simplistic topics: correlation, normal, Chi squared]

1)  Is there a correlation between hours of sleep and exam grades? Studies have shown that a good night’s sleep raises academic attainment.

2)  Is there a correlation between height and weight?  (pdf).  The NHS use a chart to decide what someone should weigh depending on their height. Does this mean that height is a good indicator of weight?

3)  Is there a correlation between arm span and foot height?   This is also a potential opportunity to discuss the  Golden Ratio  in nature.

4) Is there a correlation between smoking and lung capacity?

5)  Is there a correlation between GDP and life expectancy?  Run the Gapminder graph to show the changing relationship between GDP and life expectancy over the past few decades.

7)  Is there a correlation between numbers of yellow cards a game and league position? Use the Guardian Stats data to find out if teams which commit the most fouls also do the best in the league.

8)  Is there a correlation between Olympic 100m sprint times and Olympic 15000m times? Use the Olympic database to find out if the 1500m times have got faster in the same way the 100m times have got quicker over the past few decades.

9) Is there a correlation between time taken getting to school and the distance a student lives from school?

10) Does eating breakfast affect your grades?

11) Is there a correlation between  stock prices of different companies?  Use Google Finance to collect data on company share prices.

12) Is there a correlation between  blood alcohol laws and traffic accidents ?

13) Is there a correlation between  height and basketball ability?   Look at some stats for NBA players to find out.

14) Is there a correlation between  stress and blood pressure ?

15) Is there a correlation between  Premier League wages and league positions ?

16) Are a sample of student heights  normally distributed?  We know that adult population heights are normally distributed – what about student heights?

17) Are a sample of flower heights normally distributed?

18) Are a sample of student weights normally distributed?

19)  Are the IB maths test scores normally distributed?  (pdf). IB test scores are designed to fit a bell curve. Investigate how the scores from different IB subjects compare.

20) Are the weights of “1kg” bags of sugar normally distributed?

21)  Does gender affect hours playing sport?  A UK study showed that primary school girls play much less sport than boys.

22) Investigation into the distribution of  word lengths in different languages . The English language has an average word length of 5.1 words.  How does that compare with other languages?

23)  Do bilingual students have a greater memory recall than non-bilingual students? Studies have shown that bilingual students have better “working memory” – does this include memory recall?

Games and game theory

1) The prisoner’s dilemma : The use of game theory in psychology and economics.

3)  Gambler’s fallacy:  A good chance to investigate misconceptions in probability and probabilities in gambling. Why does the house always win?

4)  Bluffing in Poker:  How probability and game theory can be used to explore the the best strategies for bluffing in poker.

5)  Knight’s tour in chess:  This chess puzzle asks how many moves a knight must make to visit all squares on a chess board.

6) Billiards and snooker

7) Zero sum games

8)  How to “Solve” Noughts and Crossess  (Tic Tac Toe) – using game theory. This topics provides a fascinating introduction to both combinatorial Game Theory and Group Theory.

9)  Maths and football  – Do managerial sackings really lead to an improvement in results? We can analyse the data to find out. Also look at the  finances  behind Premier league teams

10) Is there a correlation between  Premier League wages and league position?  Also look at how the  Championship  compares to the Premier League.

11)  The One Time Pad  – an uncrackable code? Explore the maths behind code making and breaking.

12)  How to win at Rock Paper Scissors . Look at some of the maths (and psychology behind winning this game.

13)  The Watson Selection Task  – a puzzle which tests logical reasoning.  Are maths students better than history students?

Topology and networks

2) Steiner problem

3)  Chinese postman problem  – This is a problem from graph theory – how can a postman deliver letters to every house on his streets in the shortest time possible?

4) Travelling salesman problem

5)  Königsberg bridge problem : The use of networks to solve problems. This particular problem was solved by Euler.

6)  Handshake problem : With n people in a room, how many handshakes are required so that everyone shakes hands with everyone else?

7)  Möbius strip : An amazing shape which is a loop with only 1 side and 1 edge.

8) Klein bottle

9) Logic and sets

10)  Codes and ciphers : ISBN codes and credit card codes are just some examples of how codes are essential to modern life. Maths can be used to both make these codes and break them.

11)  Zeno’s paradox of Achilles and the tortoise : How can a running Achilles ever catch the tortoise if in the time taken to halve the distance, the tortoise has moved yet further away?

12)  Four colour map theorem  – a puzzle that requires that a map can be coloured in so that every neighbouring country is in a different colour. What is the minimum number of colours needed for any map?

13)  Telephone Numbers  – these are numbers with special properties which grow very large very quickly. This topic links to graph theory.

14) The Poincare Conjecture and Grigori Perelman  – Learn about the reclusive Russian mathematician who turned down $1 million for solving one of the world’s most difficult maths problems.

Mathematics and Physics

1)  The Monkey and the Hunter – How to Shoot a Monkey  – Using Newtonian mathematics to  decide where to aim when shooting a monkey in a tree.

2)  How to Design a Parachute  – looking at the physics behind parachute design to ensure a safe landing!

3)  Galileo: Throwing cannonballs off The Leaning Tower of Pisa  – Recreating Galileo’s classic experiment, and using maths to understand the surprising result.

4)  Rocket Science and Lagrange Points  – how clever mathematics is used to keep satellites in just the right place.

5)  Fourier Transforms – the most important tool in mathematics?  – An essential component of JPEG, DNA analysis, WIFI signals, MRI scans, guitar amps – find out about the maths behind these essential technologies.

6)  Bullet projectile motion experiment  – using Tracker software to model the motion of a bullet.

7)  Quantum Mechanics – a statistical universe?   Look at the inherent probabilistic nature of the universe with some quantum mechanics.

8)  Log Graphs to Plot Planetary Patterns . The planets follow a surprising pattern when measuring their distances.

9)  Modeling with springs and weights . Some classic physics – which generates some nice mathematical graphs.

10)  Is Intergalactic space travel possible?  Using the physics of travel near the speed of light to see how we could travel to other stars.

Maths and computing

1)  The Van Eck Sequence  – The Van Eck Sequence is a sequence that we still don’t fully understand – we can use programing to help!

2)  Solving maths problems using computers  – computers are really useful in solving mathematical problems.  Here are some examples solved using Python.

3)  Stacking cannonballs – solving maths with code  – how to stack cannonballs in different configurations.

4)  What’s so special about 277777788888899?  – Playing around with multiplicative persistence – can you break the world record?

5)  Project Euler: Coding to Solve Maths Problems . A nice starting point for students good at coding – who want to put these skills to the test mathematically.

6)  Square Triangular Numbers .  Can we use a mixture of pure maths and computing to solve this problem?

7)  When do 2 squares equal 2 cubes?  Can we use a mixture of pure maths and computing to solve this problem?

8)  Hollow Cubes and Hypercubes investigation .  More computing led investigations

9)  Coding Hailstone Numbers .  How can we use computers to gain a deeper understanding of sequences?

Further ideas:

1)  Radiocarbon dating  – understanding radioactive decay allows scientists and historians to accurately work out something’s age – whether it be from thousands or even millions of years ago.

2)  Gravity, orbits and escape velocity  – Escape velocity is the speed required to break free from a body’s gravitational pull. Essential knowledge for future astronauts.

3)  Mathematical methods in economics  – maths is essential in both business and economics – explore some economics based maths problems.

4)  Genetics  – Look at the mathematics behind genetic inheritance and natural selection.

5)  Elliptical orbits  – Planets and comets have elliptical orbits as they are influenced by the gravitational pull of other bodies in space. Investigate some rocket science!

6)  Logarithmic scales  – Decibel, Richter, etc. are examples of log scales – investigate how these scales are used and what they mean.

7)  Fibonacci sequence and spirals in nature  – There are lots of examples of the Fibonacci sequence in real life – from pine cones to petals to modelling populations and the stock market.

8)  Change in a person’s BMI over time  – There are lots of examples of BMI stats investigations online – see if you can think of an interesting twist.

9)  Designing bridges  – Mathematics is essential for engineers such as bridge builders – investigate how to design structures that carry weight without collapse.

10)  Mathematical card tricks  – investigate some maths magic.

11)  Flatland by Edwin Abbott  – This famous book helps understand how to imagine extra dimension. You can watch a short video on it  here

12)  Towers of Hanoi puzzle  – This famous puzzle requires logic and patience. Can you find the pattern behind it?

13)  Different number systems  – Learn how to add, subtract, multiply and divide in Binary. Investigate how binary is used – link to codes and computing.

14)  Methods for solving differential equations  – Differential equations are amazingly powerful at modelling real life – from population growth to to pendulum motion. Investigate how to solve them.

15)  Modelling epidemics/spread of a virus  – what is the mathematics behind understanding how epidemics occur? Look at  how infectious Ebola really is .

16)  Hyperbolic functions  – These are linked to the normal trigonometric functions but with notable differences. They are useful for modelling more complex shapes.

17)  Medical data mining  – Explore the use and misuse of statistics in medicine and science.

18) Waging war with maths: Hollow squares .  How mathematical formations were used to fight wars.

19)  The Barnsley Fern: Mathematical Art  – how can we use iterative processes to create mathematical art?

Share this:

39 thoughts on “ maths ia – 300 maths exploration topics ”.

this website is a real reference for me, thanks!

Very interesting topics for the students who whish to go beyond the curriculum

My name is Eden and this is so good resource. Much learn of math over up in here!! $$$ E.B.D.

Dis resources halp meh al0t

Very very good thanks

I need some good quality feedback on my exploration paper! Please contact me if you can help me out!

orayt rock n roll

Hi my name is Layal and I really like this Hong does too

it really good topics in math and i really like it and its new in math.

Awesome, thx. <3

amazing thank you

It help so much when i see math topic for studie and i use experiment to expand ideas among mathmatical world for further education. I was feared zombies so i did equation to predicatate

Thank you! Good resources for ideas

Hi would investigating the formula 1 racing strategy using game theory and monte carlo simulation be a good enough topic for hl?

Thanx for great ideas

very very useful 🙂

i tried to copy the name “i tried to copy the name but it was too long” but it was too long.

very good really useful.

+ first comment in 2 years

Powered by WordPress.com .