- 2026 Academic Year Course Catalog: College of Science and Engineering
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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 it continues to develop significantly today, influencing and influencing other sciences, including physics. In Department of Mathematical Sciences, students build upon what they learned in high school, studying a wide range of mathematics and researching unknown aspects of mathematical science. While you may often be overwhelmed by the grand theories built by historical mathematicians, the world of mathematics you will encounter will surely satisfy your intellectual curiosity.
The term "mathematical science" encompasses not only 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 from fundamental theory to applications in a balanced manner over four years by taking a variety of lectures and exercises. Furthermore, for ambitious students, there is also the option of pursuing graduate studies and experiencing the cutting edge of modern mathematics.
This applies not only to mathematics but to all academic subjects studied at university: I believe the most important thing is to think things through thoroughly using your own mind. While it's sometimes necessary to quickly solve calculation problems or memorize theorems and formulas, the process of understanding the meaning of newly learned concepts through trial and error is paramount. Knowledge may become outdated with time, but the way of thinking and creativity acquired through mathematics will be relevant in any era. I want to provide a learning environment where students in Aoyama Gakuin University 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
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Algebra I
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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.
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Geometry I
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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.
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Differential Equations II
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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.
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Common to College of Science and Engineering
| Subject Name | Features |
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English CoreⅠ-a
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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.
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English CoreⅠ-b
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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.
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English CoreⅠ-c
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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.
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English CoreⅠ-d
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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.
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