Key Features of the Department of Mathematics

In today’s world, where the foundations of mathematics have been established, progress is being made in systematically organizing the vast array of theories. The Department of Mathematics offers fields including algebra, geometry, analysis, probability theory, and discrete mathematics, as well as applied fields such as statistical science, numerical computation, and optimization. Students will engage in comprehensive study of the fundamental concepts across all these fields, while also learning methods for applying them to real-world problems, including statistical data processing techniques and computer-based numerical simulation methods. In this way, students can broaden their interests to various related fields, thereby developing a deeper appreciation for mathematics.

Education and research in the Department of Mathematics is characterized by engaging with mathematics not merely by applying existing results, but by building on a deep understanding of the background and proofs of theorems. This approach enables us to fully utilize mathematics as the language of science. Furthermore, even when faced with difficulties, we can develop new mathematical methods to solve problems.

To truly appreciate mathematics and apply it correctly, it is essential to practice accurately following the “chain of logic.” By the end of their second year, all students will have built that foundation by learning the concepts of limits, calculus, and linear algebra. This will lead to a moment when, with deep emotion, they can truly grasp what it means to “understand.” Through education and research in mathematics, the Department of Mathematics aims to develop individuals who can view matters abstractly and universally and who can make sound judgments based on this perspective.

This department offers two courses: the Major in Mathematics and the Major in Statistics.

In the Major in Mathematics, students learn the fundamentals of various fields within pure mathematics, such as analysis, geometry, and algebra, while simultaneously exploring the potential applications these fields hold for various branches of the natural sciences.

The Major in Statistics emphasizes training specialists who solve problems in engineering and the social sciences by applying mathematics and statistics.

In the Major in Mathematics, the primary focus is on the study of analysis (particularly functional analysis and differential equations), algebra, geometry, and mathematical information science.

In the Major in Statistics, students study subjects including probability theory, mathematical statistics, applied statistics, computational mathematics, discrete mathematics, operations research, actuarial science, and numerical analysis.