Mathematics Term Paper: Topic Ideas & Useful Recommendations

Table of Contents

How to Write a Term Paper About Math in a Nutshell
200 Topics for Math Term Paper
College Math Term Paper Topics
High School Math Term Paper Topics
Probability Problems for Math Term Paper
Math Problems for Term Paper
Cool Math Topics
Algebra Topics
Geometry Topics
Calculus Topics
Business Math Topics
Undergraduate Math Research Topics
Interesting Math Research Topics
Applied Math Research Topics
Math Research Topics for Middle School
Math Education Research Topics
Conclusion

A math term paper is a research paper written by students. It is important academic work and indicates the knowledge received during a certain period. As a rule, such an assignment is associated with a certain area of mathematics and is designed to show how well you have learned theoretical and practical skills. The key feature of such a paper is the symbiosis of the theoretical and research part, where you will test theories and analyze methods, problems, or rational, mathematical approaches. It is from these parameters that the choice of your topic will depend.

How to Write a Term Paper About Math in a Nutshell

If you are going to write such an assignment for the first time, then tips and a detailed guide will surely come in handy. Here are the details that you should take into account before you decide to start writing.

Proper Structure and Outlining Comes First!

As a rule, a student must compose seven parts of a math term paper. So here's what you should know first.

• Cover page: A page with your name, course number, teacher's name, and the deadline
• Abstract: A short description of your work (its importance and main issues).
• Introduction: You should place your topic statement here. Explain its significance or problem and highlight your discussion plans for resolving the main topic issues.
• Body. Here is a place for your main research points. Post here your main information and approach to the research process.
• Results. And here is the place for the results of your research. Describe the results and how they correlate with your expectations. Tie everything you've been explaining to make your paper look solid.
• Discussion. Here is the place for stating an opening question or prompting the readers to continue their research on the subject through a discussion.
• Conclusion. It is the place for final ideas, summarizing information, and describing all the nuances you achieved during your research.

And don't forget that you need a good outline. It is your framework and springboard for writing activities. Here is an example of a solid outline comprising major sections to a math term paper.

Your Paper Outline

I Intro
Key points (pick at least three, but no more than five)

1 - main point
2 - main point
3 - main point

II Body
Point 1 (topic sentence idea)

pick the research concept
use support idea
connect to the next concept

Points 2-3

III Summary Paragraph
Craft the summary sentence and summarize your ideas. Mention all three main points.

IV Conclusion
Put a transition to the ending of your paper and write your final thoughts.
V Reference page

Use Only Credible Sources of Information

As a student, you must use exclusively credible sources such as Maxima, Sagemath.org, Geogebra.org, or Mathworld.wolfram.com. However, do not forget that this approach is mandatory, as you can only rely on academic journals, research, books, and scientific publications. 

Follow the Rules of Mathematical Language!

Do not forget that you will not write a reflective essay but a solid math term paper. That is why clarity is your main reference. Stick to strict rules of logic, clear definitions, theorems, and equations. Follow your professor's instructions and use math symbols and notation following the conventions of mathematical language. All the actions you describe must comply with the general topic.

Useful Tips for Students

Any student needs advice to avoid pitfalls and create a good paper. Let's assume that you have completed the draft stage, and now you need to move on to the final stage. Here are the steps you should take.

Proofread Your Paper

Surely you were careful and extremely careful in writing all the results of your research. But do not forget about the human factor! You are likely to make typos, grammar, or spelling mistakes. Therefore, always allocate time for editing a term paper. Check each paragraph and correct any possible errors. In addition, you should rewrite unclear statements or other points. Your paper should look solid, so be careful.

Use Plagiarism Checkers

You can usually use Grammarly or Turnitin to check your text. Do not forget that plagiarism is unacceptable, so you must rewrite all possible non-original sentences. However, sometimes it is enough to correct just a couple of sentences to make your text original.

Enlist the Support of Friends

Ask your friends to read your paper. Perhaps they will notice some mistake or offer you an extra idea you did not think about before. In addition, third parties will certainly be able to evaluate your paragraphs and point out a clear problem unbiasedly.

200 Topics for Math Term Paper

Surely you want to find good ideas to start writing activities immediately. Such a desire is quite obvious since not all students like to choose paper ideas. So here are topics to help you cut down on prep work and get started with your writing activities.

College Math Term Paper Topics

If you are a college student, these topics for math term paper will come in handy. Surely you will find something interesting so do not hesitate!

1. How do Partial fractions work in modern mathematics?
2. How important is mathematics in today's world?
3. How useful is Cramer's rule for mathematicians?
4. Why is Heesch's problem still relevant to scientists?
5. The history of medieval calculus.
6. How does Euler's formula work?
7. Importance of logarithms for mathematics.
8. To what extent do mathematical sequences influence analytical processes?
9. What are types of transformations based on?
10. A fresh take on Brun's constant.
11. Which methods of factoring quadratics are still relevant for college students?
12. Basic principles of Archimedean solids.
13. How to conduct a detailed analysis of the Gaussian elimination?
14. What is the theory of encryption based on?
15. What are the principles of binary analysis?

As you can see, you have quite a few research ideas for your math term paper. Take your time and choose the topic that you like the most. This approach will allow you to start research as quickly as possible.

High School Math Term Paper Topics

As a high school student, you are probably interested in solving interesting math term paper problems. At the same time, you are unlikely to be ready for too narrow topics. Here are paper ideas that young people will like.

1. Why is linear algebra important for students?
2. What is a matrix, and how to parse numerical sequences correctly?
3. What are analytical approaches suitable for analyzing financial gaps?
4. What is the discount factor in modern mathematics?
5. How to correctly calculate the interest rate?
6. What are imaginary numbers?
7. Why do algorithms help organize data?
8. How does the asymmetric costing process work?
9. Why is mathematics the core subject?
10. Why is math a compulsory subject?
11. What is the essence of the Binomial theorem?
12. Egyptian mathematics: an ancient approach to problem-solving.
13. What is the importance of hyperbole in mathematics?
14. Linear equations: their types and regularities.
15. Pythagoras theorem: the classical part of mathematics.

Probability Problems for Math Term Paper

There are quite a lot of research topics in math related to probability problems. If this mathematics section is relevant, you can choose one of the following ideas.

1. What is the difference between randomness and pseudo-randomness?
2. How important is quasi-randomness in mathematics?
3. What is probability theory?
4. How does a random number generator work?
5. How important is a random sequence in algebra?
6. Uncertainty: a key issue in progressive computing.
7. What is statistical dispersion?
8. How important are probability interpretations?
9. What is the importance of Cox's theorem?
10. The influence of the principle of maximum entropy on mathematics.
11. What is the maximum likelihood?
12. Credal set: the basis of modern mathematics.
13. How does the Bean machine work?
14. What is the essence of relative frequency?
15. How can students use the central tendency?

The above ideas will help you solve probability problems and create a good assignment. But first, you can check the sample math term paper. This approach will allow you to know in advance what direction you should move.

Math Problems for Term Paper

How about some good math problem term paper topics? With a good idea, you will surely be able to surprise your professor. Here are the topics that are worth your attention.

1. The Goldbach's conjecture: definition and basic aspects
2. What is the importance of the Twin Prime conjecture?
3. What is the Riemann Hypothesis based on?
4. The Birch and Swinnerton-Dyer Conjecture.
5. The Kissing Number problem: a key puzzle in mathematics.
6. How to solve the Unknotting problem?
7. The Large Cardinal Project: German Mathematical Heritage.
8. What's the deal with +e?
9. Is Rational?
10. What is an idea of a typical sequence over prime numbers?
11. How to solve a poly binary problem?
12. Is there a general theory?
13. How to solve the riddle of Kronos?
14. The Turing problem: origins and solution.
15. Why is Hoffman's concept correct?

As you can see, it is not difficult to choose a good math topic and start writing activities. You just need to be careful and follow relevant sources to avoid mistakes.

Cool Math Topics

Who said math term paper topics have to be boring? There is no reason why you should go with the flow and explore uninteresting mathematical areas. All these cool ideas will help you stand out from the crowd.

1. What is number theory, and how does it work?
2. Main differences between multivariable and vector calculus.
3. What are the four conditions for functional analysis?
4. What is an arbitrary variable in probability theory?
5. How is math used in modern cryptography?
6. What is the basic concept of homological algebra?
7. What is the philosophical problem of foundations?
8. How do logarithms affect everyday life?
9. Quadratics entail; a key aspect of mathematics.
10. How has cryptography influenced the development of modern mathematics?
11. Can trigonometry be called a critically important subject?
12. How can Research operations help you organize your data?
13. What are the advantages of combinatorial equations?
14. How do complex numbers help in solving math problems?
15. What is number theory based on?

By choosing a good research topic, you will surely enjoy the academic process.

Algebra Topics

Algebra is the queen of mathematics! You can create a good assignment using the topics below and a good math term paper format example. So don't be afraid, and go ahead!

1. What is the relationship between Rubik's cube and the group theory?
2. What is the value of modern equation systems?
3. The distance formula: a key element of algebra.
4. The Gram-Schmidt process: typical triggers and variables.
5. What is the task of modern functional algebra?
6. Why is abstract algebra the key to getting answers to key math problems?
7. What is the value of Fermat's last theorem?
8. What is the key relationship between algebra and geometry?
9. What is the meaning of the modern Artin-Weddderburn theorem?
10. How can students use the Ring theory in everyday life?
11. How did the Jacobson density theorem affect algebra?
12. What are orthogonal matrices, and why are they so important?
13. What is the functional value of versus matrix inverses?
14. How do Euclidean vector spaces help to understand modern algebra?
15. Linear Algebra: general concepts and assignments.

Half of the work is done. You only need to create a solid outline for a math term paper. That is why you should not hesitate: just start writing activities.

Geometry Topics

Geometry can be very interesting, especially if you know how to start the research process. These math term paper ideas will help you shorten the preparation phase for writing activities.

1. What is the essence of Birational geometry?
2. How does Klein's geometry help in understanding numbers?
3. What is the impact of applied holomorphic curve theory on geometry?
4. Perturbative Quantization: key principles and rules.
5. What is the value of the Seiberg-Witten-Floer theory?
6. How does Rational Homotopy Theory affect the perception of geometric progressions?
7. Why is geometry important to students?
8. How does disk geometry help solve non-standard mathematical problems?
9. How to parse octave functions for computational geometry?
10. What is the substitution effect in geometry?
11. What is the point of exponentially concave functions?
12. The theory of zero-sum games.
13. What is the importance of hydraulic geometry?
14. Multivariate Gaussians: key principles and basic approaches.
15. What is discrete spacetime in the context of geometry?

It is unlikely that you will worry about missing something if you select these math paper topics. Now luck will be on your side.

Calculus Topics

The study of numerical sequences and patterns is an entertaining activity. It is the reaped one that you should check out these mathematics term paper topics. Surely you will be glad to get off the ground as quickly as possible.

1. Model for Containing Forest Fires.
2. Ideal Rate and Method for Gathering Natural Resources.
3. Leibniz vs. Newton: outstanding calculus concepts.
4. What is the importance of modern calculus?
5. The role of women in the development of mathematics.
6. What is the practical use of vector spaces?
7. Circles: a mathematical view.
8. A Deeper Analysis on the Natural Numbers.
9. The Use of Calculus.
10. Pierre de Fermat: influence on mathematics.
11. A concept of the Birthday Paradox.
12. Periodontal health definition of calculus.
13. Mamikon's approach to teaching calculus.
14. Derivatives and definite integrals.
15. Why are art and mathematics related?

Don't be afraid to combine or modify all of these ideas. However, your task is to create a good paper, so proceed as you see fit.

Business Math Topics

Business math is an extremely important academic discipline, so take your topic seriously. Here are some ideas to help you craft good papers and get high grades.

1. What is the basic profit and loss concept?
2. How do statistics affect business processes?
3. What is simple and compound interest?
4. What is a progressive loan?
5. The principle of taxation and tax laws.
6. What is the importance of an annuity?
7. How do companies calculate seniority?
8. The principle of calculating the credit score.
9. What is the basic concept of depreciation?
10. What is Markup Formula?
11. What is the advantage of a queuing theory and other stochastic-process models?
12. Management science and quantitative finance.
13. What is the essence of the economic lot scheduling problem?
14. What is production quantity?
15. What is mathematical optimization?

Now you will have more ideas to help create a springboard for your writing activities!

Undergraduate Math Research Topics

Undergraduates are often at a crossroads and do not know which topic to choose. This list will give you more ideas to start writing activities.

1. What is Brun's constant, and why is it relevant?
2. What are the main methods of factoring quadratics?
3. How do logarithms work?
4. What is the influence of the ancient Greeks on geometry?
5. Euler's formula: key ideas and concepts.
6. The correlation of CT scans to geometry.
7. How did Cramer's rule affect mathematics?
8. What are Hypercubes, and how do they work?
9. What is the essence of STEM career fields?
10. What are the goals of teaching maths?
11. Heesch's problem: solution methods and examples.
12. What is the essence of math camps in schools?
13. How does mathematics affect programming?
14. What is a non-binary sequence?
15. What are the three basic concepts of mathematics?

As you can see, all these ideas cover a wide range of research aspects, so you don't have to complain about the poor choice of topics.

Interesting Math Research Topics

There is no reason why you should embark on boring and repetitive mathematical research. Instead, here are topics that motivate you to be active in your academic life.

1. What is the main advantage of chess theory?
2. What is the golden section method?
3. What is the main application of the Pythagorean theorem?
4. Can logic help solve basic mathematical problems?
5. What is the Möbius strip, and what are its features?
6. Rubik's Cube: A basic math sequence.
7. What are the iterations of the Koch snowflake?
8. Chaos Theory: Description and Basic Patterns.
9. What is mathematical entropy?
10. How to define the concept of absolute chaos?
11. Can applied mathematics be considered a core subject in all colleges?
12. How is probability theory used in modern algebra?
13. What is Georg Cantor's theory?
14. How not to solve a linear equation?
15. Why do we need imaginary numbers?

All of the above ideas are quite interesting. Check out at least a few topics and get to work!

Applied Math Research Topics

How about interesting applied math ideas for your paper? Here are some exploratory arias worth your attention.

1. What are dynamical systems and partial differential equations?
2. What is the main concept of fluid mechanics?
3. How can students use pattern theory in everyday life?
4. What is the uniqueness of stochastic processes?
5. What are the advantages of dynamic systems?
6. How does numerical analysis work?
7. What is the essence of modern inverse problems?
8. How does linear analysis work?
9. What are the basic principles of statistical modeling?
10. What are free boundary problems?
11. Is the PP Murthy method perfect?
12. Why is number theory so popular?
13. What mathematical aspects are key for applied mathematics?
14. Discrete systems: the concept of dominance.
15. How to deal with linear analysis?

As you can see, applied mathematics can be interesting if you get your topic right.

Math Research Topics for Middle School

Being in high school, you probably want to stand out from the crowd and pleasantly surprise your professor. Here are some ideas that will make your dream come true.

1. What fields are relevant for F-algebra?
2. What is the purpose of linear algebra?
3. How does acute square triangulation work?
4. What is the basic concept of quantum analysis?
5. Non-Euclidean geometry: key benefits.
6. What are the origins of the Dempster-Shafer theory?
7. Dirac manifolds: basic concept and examples.
8. Why should students know key mathematical theorems?
9. How is dynamic analysis applied in everyday life?
10. Is it possible to consider the theory of probability discussed?

These ideas will get you off the ground as quickly as possible and start the writing process.

Math Education Research Topics

And here are some good math education topics that are extremely easy to research. So get to work and enjoy your academic results!

1. What are innovative approaches to learning mathematics?
2. What are the critical problems of organizing the educational process in math classes?
3. What are the duties of a math professor during exams?
4. Stress and anxiety: essential issues for math students.
5. Why do modern students need math education?
6. How do math skills affect the educational process?
7. New math methods of teaching people with disabilities.
8. What are the stages of preparing math teachers at universities?
9. Math education: main difficulties and pitfalls.
10. How do math students deal with burnout?

Now you can write a good paper and not spend a lot of time looking for paper ideas! If you still can't make a choice, look through an even more extensive list of term paper topics about education on our blog.

Conclusion

As you can see, crafting a good math term paper doesn't have to be torture. By following all the above rules, you can speed up the writing phase and avoid many pitfalls. But what if you are still worried about the final result and unsure if you will succeed in your mission? In this case, our company is ready to lend you a helping hand. Order term paper online, and our experts will gladly craft it for you, no matter how tricky your topic is. Contact our support agents and provide all paper details. We are ready to start writing activities as soon as possible, so don't delay!