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Introduction to the Major
Faculty members talk about what you can learn and what makes this major special.
The Mathematics major strives to develop strong critical thinking skills, essential to a liberal arts education, especially in the areas of logical and analytical thinking. It also aims to foster abilities to apply their learning to various fields through the systematic study of problem-solving processes, 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 essential and universal facts can be described in a concise and simple manner. Because of this, Mathematics is a pure science but also a language for describing phenomena in the natural sciences and an indispensable analytical tool therein. Moreover, it is a means of exploring philosophical questions, and it supports all kinds of intellectual activities involving logical and analytical thinking. One culmination of the pursuit of pure mathematics is the affirmative answer to Fermat's Last Theorem, whose proof was found using the Modern Number Theory. The same Modern Number Theory also supports activities such as cryptography and digital encoding today.
The goal of the Mathematics major is to provide education in the basic concepts and methods of modern mathematics as enabling the study of standard mathematical subjects at more advanced level.
The foundations of mathematics lie mainly in set-theoretical language, analytic and geometrical methods, and algebraic formalism. These notions and methods are adapted and developed in various areas of mathematics, including functional analysis, topology, algebra, algebraic geometry and discrete mathematics.
Students majoring in Mathematics learn 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 gain the ability to assimilate mathematical notions and methods and apply these ideas to other disciplines.