### 2019　Mathematical Methods for Materials Science

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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
2019
Offered quarter
4Q
Syllabus updated
2019/3/18
Lecture notes updated
-
Language used
Japanese
Access Index ### 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 