math research paper topics for college

Thesis Helpers

Find the best tips and advice to improve your writing. Or, have a top expert write your paper.

202 Math Research Topics: List To Vary Your Ideas

$202 Math Research Topics$

Mathematics is an exceptional field of study dealing primarily with numbers. It also deals with structures, formulas, shapes, spaces, and quantities of where they are contained.

Maths encompasses different types of computations that are applied in the real world.

Math requires a lot of analysis. This is why there are different types of maths. They all encompass different subjects and deal with different things. What are the types of maths?

Arithmetic This is perhaps the commonest type or branch of maths. It is one of the oldest and it encompasses basic numbers operations. These are addition, subtraction, multiplication, and divisions; in some schools, the short word for it is BODMAS. This is known as the Bracket of Division, Multiplication, Addition, and Subtraction. Algebra This is where unknown quantities are represented by alphabets and used along with numbers. The letters these unknown quantities are represented by are usually A, B, X, and Y, and they could also be symbols. Geometry This is considered one of the practical branches of maths as it examines sizes, shapes, figures, and the features of these entities. The most common parts of geometry are lines, points, solids, surfaces, and angles.

There are many other types but the above are the most popular. Others are trigonometry, topology, mathematical analysis, calculus, probability, statistics, and a few others.

As many students find it hard to develop maths research topics on their own, this is a chance for you. It’s okay to be worked up when you can’t find undergraduate math research topics that fit your project, essay or paper choices. This article will provide custom maths education research topics for your use. Before that, how do you structure your math essay or paper?

How to Structure Your Math Essay or Paper

Structuring your essay or paper may require that you’ve been reading critical math journals. Reading them could have made it easy to understand how to structure your paper. However, you don’t have to worry if you haven’t. Structuring your paper as expected is an essential part of writing and you’ll know about it in this section. Before you learn that, how do you choose a topic?

Choosing a Topic to Discuss

One of the difficult yet significant parts of any math essay or paper is choosing your topic. This is because you need to solve a problem or engage in a subject that has got less attention. You also need to understand the background to the subject you want to discuss as you can’t write blindly.

You must also be able to articulate your thoughts well as you must show visible knowledge before you commence the research and writing. How do you go about this? You can consider reading existing research. You can even take notes during classes to see the areas you think more work needs to be done.

After choosing your topic, conduct your research to see if you can investigate the sphere. If you can, you need to structure your research thus:

The Background This includes the discussion on what the essay is about. Depending on what you’re writing about, you need to discuss the primary concepts, including the history of some terms, where essential, in this section. This section is more like general information about the subject you want to discuss with your paper. This helps your readers familiarize themselves with your intended discussion. The Introduction This is where the main ideas behind your essays (and the solutions you hope to proffer) are tended to the readers. This is where you also explain the symbols you’ll use and the principles which are required in your essay. Aside from this, you need to state the basic issues, the solutions you could offer, the laws which are essential to discuss to make your work comprehensible. The Main Body This is where you elaborate on your findings. You need to state the research problem, the formulas, the theories you’ll use in tackling the problem, and many other things. You also need to introduce different sections of maths into the main body which is divided by paragraphs and/or chapters as well as mathematical analysis where needed. Implications This is the last part of your essay or paper. This is where you share the insights of your research with your readers. You offer short explanations of the things you have discussed. If you have treated a subject in applied mathematics, this is where you give summaries of how math is connected to human life and the strategic importance of these to people.

By adhering to this structure, you would have crafted the best rated and high-quality maths paper. Furthermore, remember you always have an option to get help with dissertations and save your time. Since it is sometimes challenging to choose cool maths topics to research on your own, these are some for you:

Research Topics in Math

Math is a broad subject. There is a study of the history of math as well as its influence in education, amongst many other sub-sections. If you’d like to create stunning research, you may choose to discuss any of these research topics in math to fulfill one of your academic requirements:

What are the distinctions between commutative and noncommutative algebra?
Discuss the methods of factoring quadratics
Types of sequences and your understanding of them
Partial fractions: what are they and how do they work?
Logarithms: what are they and how do they work?
An overview of Gaussian elimination
An overview of Brun’s constant relevant
A description of the effect of dyscalculia on daily student lives
Describe Descartes’s Dukes of Signs and their application
Greeks and geometry: discuss
Describe Euler’s formula
The progression in the study of math
Congruence meaning and methods
Describe the correlation of CT scans to geometry
Hypercubes and how they work
The basis of Cramer’s rule
The examination of Archimedean solids
Projective geometry and why it’s studied
Types of Transformations and the available types
Picasso’s works and the application of geometry
Difference between the conventional and unconventional approaches to teaching
Math education and the process of Improvement in the US
Rhombicosidodecahedron and how it operates in real life
What are the STEM career fields and why are they important?
Why women are needed in STEM
The goals of teaching maths
How to teach maths to special students
The correlation between maths and accounting
The distinction between computer programming and applied maths
Applied maths and its dynamics
Processes of solving Heesch’s problem
Why should kids learn equations?
History of calculus
Why there is a need for math camps in schools
The need for more maths competition in the US
Methods of draining flight schedule for a country
Why are some math problems unsolved?
Discuss the consequences of the gender gap in math students
Encryption and prime numbers: how do they apply?
The significance of maths in day to day living.

Undergraduate Math Research Topics

As an undergraduate, you may also have a difficult time wrapping your head around math research topics. You may need to offer both practical and theoretical assessments while writing your paper or essay. The following are undergraduate math research topics:

Show the proofs of what F-algebras are used
Abstract algebra, what does it mean?
Algebra and geometry: discuss
Acute square triangulation: how it works
Right triangles: discuss their importance
Discuss number problems
Why every math student should study non-Euclidean geometry
Dirac manifolds and what it means
Influence of geometry in physics, chemistry, and others
The application of Riemannian manifolds in the Euclidean space
How to improve your mathematical thinking ability
Technology in maths: how is it used?
Studies of maths in Europe
Math anxiety and what it truly means
Standardized testing and the goals of such
Challenges of learning maths from public schools
The significance of circles in maths
The political and social significance of learning maths
Research into how to increase student interest in maths
How painting and drawing could help with maths
Relationship of culture and maths
History of algebra
Role of maths in everyday life
How math is used in Artificial intelligence
The transferable belief model and its application
An analysis of the Dempster-Shafer theory
The role of continuous stochastic process in mathematics
The major math theorems: discuss how they work
Understanding the Gauss-Markov: The Evolution of maths
Discrete random variable: an in-depth understanding of what it means in math and how to identify one.

Math Research Topics for High School Students

As a high school student writing a research paper, one way to get high grades is to write what you know. If you know any math research paper topics for high school, they are the topics you should pick. You can consider:

Hyperbola: what it is and how it’s used in math
When to use a calculator in class
How to find solutions to linear equations
The need for Pythagoras theorem in maths
The role of art in maths and vice versa
Role of philosophy in maths
An overview of numerical data
Egyptian mathematics explained
Binomial theorem and its importance
Probability, and how to solve a question on dice
Why is math made compulsory in schools?
Why do students hate maths?
Why do students hate math teachers?
How is math applied in the workplace?
What are imaginary numbers and why are they needed
How to calculate the interest rate and what is their importance in the banking sector?
Discount factor: how is it achieved and why is it important for students?
Types of techniques to be used while finding solutions to mathematical and finance gaps
Solving a matrix: what are the important formulas and principles to embrace?
How to create a chart on a company’s financial analysis for the past 5 years.

Interesting Math Research Topics

Writing a mathematical essay may seem complex to you if you can’t find simple topics to write about. There are many easy topics which are also general in maths. If you want to choose a relaxing topic for your math essay or paper, you can write about the following:

The basic elements of Boolean algebra
The life, time, and contribution of Isaac Newton to maths
Sphericon and what it means
Martingales and what they mean
Hyperboloid and importance in geometry
Describe the life, times, and contribution of Gauss to maths
The most famous work of Jakob Bernoulli
The most famous work of Jean d’Alembert
Meaning and application of calculus in the banking field
The meaning of congruence in math
Analysis of De Finetti theorem in probability and statistics
Describe Egyptian pyramids in concert with calculus
Describe the enclosing sphere technique as used in combinatorics
Tree automation meaning
Pushdown automaton and Buchi automaton: differences and similarities
What is the Markov algorithm?
Describe what a Turing machine is
What is the linear speedup theory in math?
The Boolean satisfiability problem and what it means for students
Why is the multiplication table important?
Computational maths and its classes
What does the post correspondence problem mean?
What does the Scholz conjecture mean?
How to calculate mean, median, and mode
A study of the most difficult equations in math.

Cool Math Topics to Research

As a student of any level, you may love to create math topics that are not exactly complex. These are topics that lean on the history of maths, math education research topics, and others. Consider these math research topics for college students for your next essay or paper:

Discuss what the Golden Ratio means in the paintings of the Renaissance period
How to learn math
An overview of the multiple ideas to probability
How chess and checkers is essential in understanding mathematics
How Pythagorean theorem is applied in real-life maths
How to measure infinity
The features of Mobius strip in geometry
Describe what is meant by the Pascal’s Triangle
Evaluate the Georg Cantor set theory
What is the history of the number types?
How does probability relate to card tricks?
Compare and contrast abstract and universal algebra
Describe Euclid’s role in the evolution of maths
Evaluate the role of Indians in maths
Explain the limits of calculus
Discuss what predictive and prescriptive statistical analysis means
What does chaos theory mean?
Explain how to solve the Rubik’s Cube
Why are some math equations so complex?
How is geometry used in contemporary architectural designs?

Math Research Topics for Middle School

It’s okay to be worried about math topics for your research as a middle school student. There are still different unique topics that are rebranded from existing ones. You can find some of the right math research paper topics for you here:

The role of statistics in business
Definition of economic lot scheduling
Why stock market crash
The contribution of many traders in the New York Stock Exchange
Revenue management and its history
What are the financial indicators of a good investment?
What are the odds of depreciation?
How can any country benefit from the poor currency?
Describe debt amortization and how math helps
How to calculate net worth
Distinctions in calculus, trigonometry, and algebra
How did calculus start?
How did trigonometry start?
Why is Ito stochastic important in math?
What do limits in math mean?
How to know critical points in graphs
What does nonstandard analysis in the probability theory mean?
Describe continuous function
The main principles of calculus
The main principles of Pythagoras theorem
Application of calculus in finance
Value theorem in math
Ratio and root test definition
Linear approximations and how they work
What is the Jacobson density theorem?
Similarities and differences between epimorphisms and monopolists
What does the Artin-Wedderburn theorem mean?
Commutative ring and its meaning in algebra
How difficult is it to teach maths?
How standards examination curriculum affects math education.

Applied Math Research Topics

Applied math is a branch which deals with the application of mathematical methods in real life. These are manifested by applications in finance, physics, engineering, biology, medicine, and others. Through specialized knowledge, applied math is made possible. These are some topics for you in this area:

How discovering genes can help determine healthy and unhealthy patients
Role of algorithms in probabilistic modeling
The need for mathematicians in developing robots
The role of mathematicians in crime data analysis and prevention
How did Isaac’s Laws of Motion help in real life?
How math helped with energy conservation
The role of math in quantum theory
Analyze the features of the Lorentz symmetry
Evaluate statistical signal processing in details
Discuss how Galilean Transformation was achieved
Examine nonlinear models
Elucidate on the importance of data mining in banking
The importance of step-stress modeling
The significance of computer tomography
What are the dimensions used in examining fingerprints?

Math Research Topics for College Students

As college students, you are at a critical level. You need maths topics for your essays and paper. You may also need them to prepare for your exams. These are some math research topics for you:

Evolution of mathematics
Explore the varieties of the Tower of Hanoi solutions
Discuss how to use Napier’s bones
Give examples of chaos theory and explain
Discuss the important mathematical equations of all times
Examine the nitty-gritty of barcodes
What is the Traveling Salesman Problem?
Natural selection and Fisher’s fundamental theorem of understanding it
The Influence of math in biology
The Influence of math in chemistry
What is quantum computing?
How to solve extremal problems in maths
Analyze the meaning of fractals
Discuss Einstein’s field equation theory
Who created computer vision and object recognition?
Five formulas and how they are applied
Give three approaches to understanding maths
Explain the origin and importance of algebra
What do you know about the Fibonacci sequence?
Trace the origin of math
How does math help in geography?
What does the operator spaces notion mean?

Get Math Paper Research Help

Do you need professional research paper help? We offer affordable and cheap research paper assistance for students across all levels. If you need help with research papers, you can easily buy dissertation online from our team of academicians.

Our academicians are experts at college research paper writing service online. For a cheap price, they have written the best rated submissions in schools in the US and Europe. With high quality writing, you can hire them and get your paper before your deadline.