2020 Faculty Courses School of Materials and Chemical Technology Undergraduate major in Materials Science and Engineering
Mathematical Methods for Materials Science
- Academic unit or major
- Undergraduate major in Materials Science and Engineering
- Instructor(s)
- Yu Kumagai / Takafumi Yamamoto
- Class Format
- Lecture (Zoom)
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - 3-4 Tue (S611) / 7-8 Thu (S611)
- Class
- -
- Course Code
- MAT.C310
- Number of credits
- 200
- Course offered
- 2020
- Offered quarter
- 4Q
- Syllabus updated
- Jul 10, 2025
- Language
- Japanese
Syllabus
Course overview and goals
The aim of the first half of the course is to learn the basics of the mathematical methods for materials science.
The aim of the second half of the course is to learn the advanced mathematical methods for materials science especially in the quantum mechanical point of view.
Course description and aims
Students will get the knowledge and skills of Mathematical methods for Materials Science.
Keywords
Mathematical methods for Materials Science
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
Lectures and practices.
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | Wave diffraction | Understanding Wave diffraction |
| Class 2 | Crystal and group theory | Understanding group theory |
| Class 3 | Fourier transformation and reciprocal lattice space | Understanding reciprocal lattice space |
| Class 4 | Crystal and Linear algebra | Calculation with using Linear algebra |
| Class 5 | Exercise on diffraction experiments I | Application to diffraction experiments |
| Class 6 | Exercise on diffraction experiments II | Application to diffraction experiments |
| Class 7 | Exercise | Exercise |
| Class 8 | Linear algebra and its application to physics(1) | Linear vector space |
| Class 9 | Linear algebra and its application to physics(2) | Linear operator |
| Class 10 | Linear algebra and its application to physics(3) | Eigenvalue problems |
| Class 11 | Linear algebra and its application to physics(4) | Eigenvalue problems in physics |
| Class 12 | Linear algebra and its application to physics(5) | Generalization to infinite dimensions |
| Class 13 | Linear algebra and its application to physics(6) | Operators in Infinite Dimensions |
| Class 14 | N/A | N/A |
| Class 15 | N/A | N/A |
Study advice (preparation and review)
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Textbook(s)
Specified as necessary.
Reference books, course materials, etc.
Specified as necessary.
Evaluation methods and criteria
Short quizzes and reports
Related courses
- ZUB.M201 ： Applied Mathematics for Physicists and Scientists I
- ZUB.M213 ： Applied Mathematics for Physicists and Scientists II
Prerequisites
No requirements