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?