2022 Mathematical Methods for Materials Science

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Academic unit or major
Undergraduate major in Materials Science and Engineering
Yamamoto Takafumi  Sasagawa Takao  Matsuishi Satoru 
Class Format
Lecture    (Face-to-face)
Media-enhanced courses
Day/Period(Room No.)
Tue3-4(S7-201)  Thr7-8(S7-201)  
Course number
Academic year
Offered quarter
Syllabus updated
Lecture notes updated
Language used
Access Index

Course description and aims

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.

Student learning outcomes

Students will get the knowledge and skills of Mathematical methods for Materials Science.


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 Basics 1 Review the mathematics for materials science
Class 2 Basics 2 Review and exercise the mathematics for materials science
Class 3 Topology, Quantum Computing Topology, Quantum Computing
Class 4 Linear algebra and its application to physics(1) Linear vector space
Class 5 Linear algebra and its application to physics(2) Linear operator
Class 6 Linear algebra and its application to physics(3) Eigenvalue problems
Class 7 Exercise Exercise
Class 8 Wave diffraction Understanding Wave diffraction
Class 9 Crystal and group theory Understanding group theory
Class 10 Fourier transformation and reciprocal lattice space Understanding reciprocal lattice space
Class 11 Crystal and Linear algebra Deal the unit lattice using linear algebra.
Class 12 Exercise on diffraction experiments I Exercise
Class 13 Exercise on diffraction experiments II Exercise
Class 14 N/A N/A
Class 15 N/A N/A

Out-of-Class Study Time (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.


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.)

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.

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