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- 工学院，物質理工学院，環境・社会理工学院共通科目
- Liberal arts and basic science courses
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- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Undergraduate major in Materials Science and Engineering
- Instructor(s)
- Sasagawa Takao Kumagai Yu Yamamoto Takafumi
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Mon7-8(S7-202) Thr7-8(S7-202)
- Group
- -
- Course number
- MAT.C310
- Credits
- 2
- Academic year
- 2019
- Offered quarter
- 4Q
- Syllabus updated
- 2019/3/18
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
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Course description and aims
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.
Student learning outcomes
Students will get the knowledge and skills of Mathematical methods for Materials Science.
Keywords
Mathematical methods for Materials Science
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | ✔ Critical thinking skills | Practical and/or problem-solving skills |
Class flow
Lectures and practices.
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | Introduction: Fundamentals I | Introduction: Fundamentals I |
| Class 2 | Fundamentals II | Fundamentals II |
| Class 3 | Exercise on fundamentals | Exercise on fundamentals |
| Class 4 | Differential equations: Quantum states | Differential equations: Quantum states |
| Class 5 | Linear algebra (basics) | Linear algebra (basics) |
| Class 6 | Linear algebra (applications I: Projection and Operation) | Linear algebra (applications I: Projection and Operation) |
| Class 7 | Linear algebra (applications II: Eigenmode analysis) | Linear algebra (applications II: Eigenmode analysis) |
| Class 8 | Fourier transformation (basics) | Fourier transformation (basics) |
| Class 9 | Fourier transformation and reciprocal space | Fourier transformation and reciprocal space |
| Class 10 | Linear algebra and Quantum mechanics | Linear algebra and Quantum mechanics |
| Class 11 | Variational calculus (basics) | Variational calculus (basics) |
| Class 12 | Variational calculus (applications) | Variational calculus (applications) |
| Class 13 | Perturbation theory | Perturbation theory |
| Class 14 | Exercise on Linear algebra and Fourier transformation | Exercise on Linear algebra and Fourier transformation |
| Class 15 | N/A | N/A |
Textbook(s)
Specified as necessary.
Reference books, course materials, etc.
Specified as necessary.
Assessment criteria and methods
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 (i.e., required knowledge, skills, courses, etc.)
No requirements
