- 2025 Course Guide College of Science and Engineering
Learning Characteristics and Curriculum (Department of Mathematical Sciences)
CURRICULUM Learning Features and Curriculum
Characteristics of learning
While learning various fundamentals of mathematics, students will research unknowns related to mathematical science. The term "mathematical science" does not only refer to mathematics as an academic discipline based on strict logic, but also mathematics as a tool for describing and solving problems in the real world. The goal is to acquire the habit and ability to think for oneself.
Through mathematical science, I hope students will experience the joy of "thinking for themselves."
Mathematics is a discipline with a long history dating back to ancient Egypt and Greece, and continues to develop to this day while influencing other sciences, including physics. In Department of Mathematical Sciences, students build on what they learned in high school to learn about various areas of mathematics that extend beyond them, while also researching unknown aspects of mathematical science. Although you may often feel overwhelmed by the grand theories established by historical mathematicians, the world of mathematics that you will soon encounter will surely satisfy your intellectual curiosity.
The term "mathematical science" not only means mathematics as a system of thought based on rigorous proof, but also mathematics as a language for describing natural and social phenomena, and as a tool for solving various problems in the real world. Reflecting this, the curriculum of Department of Mathematical Sciences is designed to allow students to learn everything from basic theory to applications in a well-balanced manner over four years by taking a wide variety of lectures and seminars. Furthermore, highly motivated students are given the opportunity to advance to graduate school and experience the cutting edge of modern mathematics.
This is true not only for mathematics but for all academic subjects studied at university, but I think the most important thing is to think things through thoroughly with your own head. Sometimes it is necessary to quickly solve calculation problems and memorize how to use theorems and formulas, but the most important thing is the process of understanding the meaning of newly learned concepts in your own way through trial and error. Knowledge becomes outdated with the times, but the ways of thinking and creativity acquired through mathematics are applicable in any era. We want to provide a learning environment where students in our department can enjoy mathematics above all else and have a fulfilling university life.

COURSE MODELS
*The course model introduced here is just an example.
COURSE FEATURES Features of major courses
DEPARTMENT OF MATHEMATICAL SCIENCES
Subject Name | Features |
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Algebra I | A group is an algebraic system that mathematically describes the symmetry of figures, equations, spaces, etc. This lecture is aimed at students who have learned the basics of algebra and explains the basics of group theory. The goal is to deepen understanding by dealing with a wealth of concrete examples and then become familiar with abstract discussions of algebra. |
Geometry I | Differential geometry is a science that uses differentiation and integration to analyze the properties of shapes. This lecture is an introduction to differential geometry, dealing with curves and surfaces in three-dimensional space. After covering curvature and fundamental forms as subjects, we will also explain exterior differential forms and Riemannian metrics. |
Differential Equations II | In many fields of science and engineering, many of the fundamental laws are given in the form of partial differential equations. In this lecture, we will explain analytical methods and properties of solutions for linear partial differential equations that are important in applications, such as the heat equation, Laplace equation, and wave equation. We will also provide a brief explanation of nonlinear problems. |
Common to College of Science and Engineering
Subject Name | Features |
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English CoreⅠ-a | The main goal is to improve English reading and listening skills. In terms of reading ability, we aim to acquire the ability to read and understand relatively short and concise texts written in expressions that are very commonly used in daily life. In terms of listening ability, we aim to cultivate the ability to understand clear and slow speech and pronunciation to a degree that can meet specific needs. |
English CoreⅠ-b | The aim of this course is to improve your English reading and writing skills. You will develop the ability to understand sentence structure, accurately read the contents, and summarize. In particular, you will aim to be able to accurately read articles and reports that reveal the writer's attitude and perspective. You will also improve your ability to write coherent texts on topics of interest. Vocabulary, grammar, and punctuation will be covered to develop accurate reading and writing skills. |
English CoreⅠ-c | The aim of this course is to develop English listening and speaking skills. Students will develop the ability to understand words spoken slowly and clearly, and to grasp phrases and expressions related to themselves, their family, school, local area, and other things around them. Students will also be able to communicate their opinions and feelings in simple English, express opinions such as for and against, and express similarities and differences. |
English CoreⅠ-d | Can write and speak in multiple sentences about hobbies, likes and dislikes using simple words and basic expressions. Can write and speak in short sentences about his/her own experiences using a dictionary. Can describe simple facts about daily life in multiple sentences using simple words and basic phrases with limited syntax, after preparing what to say in advance. |