About the Department

What is mathematics?
Mathematics is the "language of science" and the most essential tool for understanding the laws of nature. With the development of civilization, it has become a major contributor to the natural sciences, engineering, and social sciences. The program combines pure and applied mathematics, including algebra, analysis, geometry, topology, numerical analysis, and computers.

Algebra : Modern algebra, as the study of the structure of sets (algebraic systems) with operations satisfying some axioms, has given rise to many algebraic structural theories, such as group theory, linear algebra, ring and pseudogroup theory, sieve theory, and category theory. These theories are essential not only for their mathematical content but also for the development of the algebraic method, one of the most critical methodologies of modern mathematics, which has profoundly influenced the development of other fields. The main research areas are algebraic structure, representation theory, number theory, commutative and algebraic geometry, and applied algebra. In particular, applied algebra is applied mathematics that uses algebraic methods and includes cryptography and coding theory, which has recently gained prominence and is closely related to combinatorics and graph theory.

Analytical Mathematics : Analytical mathematics is the study of the concepts of differentiation and integration. It is recognized as the most effective tool for explaining natural phenomena and using them to study the properties of various functions using them.It can be categorized into complex analysis, functional analysis, nonlinear analysis, and (partial) differential equations. In particular, partial differential equations are closely related to various fields such as mechanics, physics, and engineering, are actively studied by numerous people, and have a huge ripple effect on other fields.

Geometry : One of the most indispensable pillars of human civilization, geometry is the study of the structure and symmetry of curves, surfaces, space, curvature and invariants, and motion in space. It began with classical Euclidean geometry and developed into non-euclidean geometry, Riemannian geometry, and more. Geometry is not just in the imagination of mankind. Still, it is applied in various fields, contributing to the development of engineering, computer science, physics, management, biology, probability theory, etc. The curriculum is divided into liberal arts and major classes. It is further divided into elective and required liberal arts classes, and major classes are divided into major requirements and major elective (A) and (B) classes. Of these, the liberal arts and major courses are required for all students. Suppose a student completes a course that does not fall into any of the above categories. In this case, the course is classified as a general elective subject, and the maximum number of credits for major electives (B), i.e., major subjects determined by mutual consultation with the major-related department, may not exceed 15 credits.

Minimum number of credits for elective liberal arts electives
Students must select and complete at least one subject from each of the 7 areas (Language Arts, Humanities, Social Sciences, Natural Sciences, Arts and Sports, Writing, and Practical English), and the total number of credits earned must be at least the minimum number of credits required for graduation.