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School of Environment and Society
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- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Undergraduate major in Physics
- Instructor(s)
- Daisuke Ida
- Class Format
- Lecture / Exercise (Face-to-face)
- Media-enhanced courses
- Day/Period(Room No.)
- Mon3-4(W242) Wed5-8(W242)
- Group
- -
- Course number
- PHY.M330
- Credits
- 3
- Academic year
- 2022
- Offered quarter
- 1Q
- Syllabus updated
- 2022/3/16
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
-
Course description and aims
This is an introductory course in mathematics required for modern physics.
It includes, group theory, general topology, differentiable manifolds, Lie algebras, etc..
Student learning outcomes
For deeper understanding of abstract mathematical objects in modern physics.
Keywords
group theory, general topology
Competencies that will be developed
| ✔ 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/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | group theory | nothing |
| Class 2 | exercise | nothing |
| Class 3 | group theory | nothing |
| Class 4 | exercise | nothing |
| Class 5 | general topology | nothing |
| Class 6 | exercise | nothing |
| Class 7 | manifolds | nothing |
| Class 8 | exercise | nothing |
| Class 9 | vector bundles | nothing |
| Class 10 | exercise | nothing |
| Class 11 | Lie groups | nothing |
| Class 12 | exercise | nothing |
| Class 13 | complex Clifford algebras | nothing |
| Class 14 | exercise | nothing |
| Class 15 | examination | nothing |
Out-of-Class Study Time (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)
Assessment criteria and methods
Excercises: 70%
Examination: 30%
Related courses
- nothing
Prerequisites (i.e., required knowledge, skills, courses, etc.)
nothing
