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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.