2023 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)
- Takafumi Yamamoto / Takao Sasagawa / Seiichiro Izawa
- Class Format
- Lecture (Face-to-face)
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - 3-4 Tue (S7-201) / 7-8 Thu (S7-201)
- Class
- -
- Course Code
- MAT.C310
- Number of credits
- 200
- Course offered
- 2023
- Offered quarter
- 4Q
- Syllabus updated
- Jul 8, 2025
- Language
- Japanese
Syllabus
Course overview and goals
The aim of the first half of the course is to learn the mathematical methods for materials science. The aim of the second half of the course is to learn the mathematical methods for material analysis especially in the crystal strucuture analysis.
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 | Basics 1 |
Review the mathematics for materials science |
| Class 2 | Basics 2 |
Review and exercise the mathematics for materials science |
| Class 3 | Basics 3 |
Review and exercise the mathematics for materials science |
| Class 4 | Topology, Quantum Computing |
Understanding the mathematical science behind advanced materials science |
| Class 5 | Review and exercise |
Review and exercise |
| Class 6 | Linear algebra and its application to physics(1) |
Linear vector space |
| Class 7 | Linear algebra and its application to physics(2) |
Linear operator |
| Class 8 | Linear algebra and its application to physics(3) |
Eigenvalue problems(1) |
| Class 9 | Linear algebra and its application to physics(4) |
Eigenvalue problems(2) |
| Class 10 | Crystal and group theory |
Understanding group theory |
| Class 11 | Fourier transformation and reciprocal lattice space |
Understanding reciprocal lattice space |
| Class 12 | Crystal and Linear algebra |
Deal the unit lattice using linear algebra. |
| Class 13 | Exercise on diffraction experiments I |
Exercise |
| Class 14 | Exercise on diffraction experiments II |
Exercise |
| 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
Basic knowledge about the linear algebra is required for the first half. It is preferable to have basic knowledge about crystals for the second half.