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10 Good College Research Paper Topics in Math

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A Mathematics term paper requires great amount of research and needs right approach to every point or idea used in it as every single point must be supported by logical conclusions and valid proofs. It usually is time consuming and makes many students frustrated. In order to make a simple math term paper — you must simplify your ideas and put them in a straightforward way. You must make sure that each of your results depends on the main theorem and that all the theories used are related to each other and defined in a proper step by step order.

It will make it easier for the reader to judge your ideas and implementation resulting in high scores. A standard format for math term papers consists of an introduction, body, theory and conclusion. There are no restrictions as in APA or MLA formats but a proper outline must be needed which will present your math term paper in a proper way.

References must be given in your math term paper for each and every work cited. Special attention must be given to the notations used, so before starting your math term paper you must specify them and be consistent throughout your term paper. Math term paper topics are as easy to find as it seems difficult to work out with them. For example, the number theory, linear algebra, vectors, geometry are most common topics. You can even choose any great mathematician or scientist and use his achievements in your term paper.

The topics that deal with the differential equations are the following:. Usage of Differential equations. Fundamental theorems of algebra, calculus, curves and projective geometry The topics that deal with the fundamental theorems are the following:.

Fundamental Theorem of Poker. Fundamental theorem of poker is a principle explaining the nature of poker and its main regularity, basing on that the right decision in this game is the decision that has the largest expected value, so a player should act as if they see all the cards of their opponents. However, to write a flawless research paper on any of the above mentioned topics a writer requires to:. Give a history and background regarding the development of the particular topic or theorem being discussed.

Break the topics into sub topics to simplify the explanation of the topic and to help the readers understand it better. Clearly and comprehensively elucidate the conclusion of the theorem or topic that is being discussed.

Generally, the paper format for the mathematics research papers is more flexible than for other scientific fields, so you have a possibility to develop the outline of your work in a way you need for your topic in general. However, there are several standard sections that must be included to ease the perception of your work: Background, Introduction, Body and Future Work or Conclusion, where you first give the description of the problem history, including its key notions, then present the specific results of your study and then providing the possible direction of the future research in your field.

The methodology of mathematics in not a subject that is widely studied, but still there exist several issues that could help to develop the methodology of your own research. The first issue is the necessity to express complicated relations symbolically, which could help to master the notions that could hardly be expressed in words. The essential part of mathematics is abstraction that gives the possibility to codify out knowledge about several examples and thus to learn their common features.

The same importance has the rigorous notion of proof which makes mathematics applicable and essential in physics, engineering, computer science etc. Considering these several key points of a research, each writer should himself define the own research strategy.

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Mathematics Research Paper Topics. The topics that deal with Homology Theories are the following: Unary and Binary Operations Research paper topics pertaining to Geometry: Euclidean Geometry Euclidean or elementary geometry is a geometric theory based on the system of axioms that was first stated by Euclid in the 3rd century BC. Stereometry Stereometry is a branch of geometry that deals with the solid figures in space.

Computational Geometry Computational Geometry is a branch of the discrete mathematics that deals with the algorithms for the solving of the geometric problems. Geometry algorithms Research paper topics on Calculus: Foundation and history of Calculus Calculus is a branch of mathematics that deals with the research of functions and their generalization by the methods of the differential and integral calculus.

Vector Spaces A vector space is a structure formed by vectors. Multivariate Calculus Multivariate calculus is differentiated and integrated calculus involving multiple variables.

Research paper topics on Mathematical Logic: Model Theory Model theory is a branch of mathematical logics that deals with study of relations between the formal languages and their interpretations, or models. Set Theory Set theory is the branch of mathematics that deals with the general behavior of sets.

Recursion Theory Recursion theory, also called computability theory, is a branch of mathematical logic that is in close relation with computer science and deals with the study of computable functions and Turing degrees, including also the study of generalized computability and definability.

Proof Theory Proof theory is a branch of mathematical logics where the phenomenon of mathematical proof becomes an object of algebra or arithmetic. Probability and Statistics Topics: The topics that deal with the probability theory are the following: Conditional probability Probability distribution function 2.

Statistical package comparison Research paper topics on Differential Equations: The topics that deal with the differential equations are the following: Linear differential equations Rotating systems Differential equations in mathematics physics 2. Fundamental theorems of algebra, calculus, curves and projective geometry The topics that deal with the fundamental theorems are the following: Mathematics Research Paper Tips However, to write a flawless research paper on any of the above mentioned topics a writer requires to: Conduct an extensive research on the chosen topic.

Mathematics Research Paper Format click the image to enlarge Generally, the paper format for the mathematics research papers is more flexible than for other scientific fields, so you have a possibility to develop the outline of your work in a way you need for your topic in general.

Good Topics for Mathematics Research Papers. A mathematics research paper is an extremely intricate task that requires immense concentration, planning and naturally clear basic knowledge of mathematics, but what is essential for a higher level research is the successful choice of a topic, matching your personal interests and level of competence.

If you are confused with a variety of interesting topics to research on the Internet, it’s better to decide what interests you the most. Don’t stick to easy research paper topics just to complete the task fast. If you are allowed to freely choose what to write an essay on your own, use the opportunity to create something unique. Write down the list of your .

Some of our faculty have listed ideas for undergraduate research work. These ideas could also be used as the basis of a senior thesis to earn Latin Honors. These suggestions may spark some other idea that interests you. They also give you an idea about what areas interest some of our faculty. 10 Good College Research Paper Topics in Math. Math is immensely present everywhere we go. So much so, that finding a good college research topic in math should be a fun and adventurous experience. Here are some suggestions we think would make for great research topics on the subject of math.

Research within librarian-selected research topics on Mathematics, Chemistry, Physics, and Astronomy from the Questia online library, including full-text online books, academic journals, magazines, newspapers and more. Mathematics Research Paper Topics. Individuals Instrumental in Math: Math in World Cultures: Math in Other Disciplines: Euclid Plato Pythagoras Hypatia Thales of Miletus Alexander the reat Eratosthenes of Cyrene Archimedes Hipparchus Claudius Ptolemy Rene Descartes Johannes Kepler.