Mathematical Methods in Physics III

Academic unit or major

Undergraduate major in Physics

Instructor(s)

Daisuke Ida

Class Format

Lecture/Exercise (Face-to-face)

Media-enhanced courses

-

Day of week/Period
(Classrooms)

3-4 Mon (W242) / 5-8 Wed (W242)

Class

-

Course Code

PHY.M330

Number of credits

210

Course offered

2022

Offered quarter

1Q

Syllabus updated

Jul 10, 2025

Language

Japanese

Syllabus

Course overview and goals

This is an introductory course in mathematics required for modern physics.
It includes, group theory, general topology, differentiable manifolds, Lie algebras, etc..

Course description and aims

For deeper understanding of abstract mathematical objects in modern physics.

Keywords

group theory, general topology

Competencies

• Specialist skills
• Intercultural skills
• Communication skills
• Critical thinking skills
• Practical and/or problem-solving skills

Class flow

Lectures and exercises alternate in each week.

Course schedule/Objectives

Study advice (preparation and review)

To enhance effective learning, students are encouraged to spend a certain length of time outside of class on preparation and review (including for assignments), as specified by the Tokyo Institute of Technology Rules on Undergraduate Learning (東京工業大学学修規程) and the Tokyo Institute of Technology Rules on Graduate Learning (東京工業大学大学院学修規程), for each class.
They should do so by referring to textbooks and other course material.

Textbook(s)

nothing

Reference books, course materials, etc.

J. L. Kelley, "General Topology"
K. Yamauchi, M. Sugiura, "Elementary course in continuous groups" (Japanese)

Evaluation methods and criteria

Excercises: 70%
Examination: 30%

Related courses

• nothing

Prerequisites

nothing