Mathematics

Mathematics

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Major Introduction

Professors talk about what you can learn through this major.

Mission Statement

The Mathematics major strives to develop strong critical thinking skills, essentials to a liberal arts education, especially in logical and analytical thinking, and the fostering of the ability of adaptive learning through the systematic study of problem solving, and to cultivate a foundation suitable for further advanced studies.

In Mathematics, theorems are rigorously proved by mathematical deduction starting from clearly stated definitions. The beauty of mathematics can be seen in the way that the essence of facts can be described in a concise and simple manner. Because of this, Mathematics is a pure science, a language and an indispensable analytical tool for the Natural Sciences. It is also a means of exploring philosophical questions, and it supports all kinds of intellectual activities involving logical and analytical thinking. A culmination of the pursuit of pure joy is the affirmative answer to Fermat's Last Theorem, whose proof was found using the Modern Number Theory. Additionally, today's cryptography and digital encoding are theoretically supported by the same Modern Number Theory.

Learning Goals

The goal of the Mathematics major is to provide education in the basic concepts and methods of modern mathematics as offering well as standard subjects at more advanced level.

The foundation of Mathematics is based mainly on Set-theoretical language, Infinitesimal and Topological methods, and Algebraic formalism. These notions and methods are adapted and developed in various areas of Mathematics, including Functional Analysis, Topology, Algebra, Combinatorics and Algebraic Geometry.

Students majoring in Mathematics will acquire the basic concepts and methods of modern mathematics, as well as developing the ability to think critically, analytically, and logically. Additionally, by using axiomatic methods, students will be able to assimilate mathematical notions and methods and apply these ideas to other disciplines.

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