2021 Mathematical Methods for Materials Science

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Academic unit or major
Undergraduate major in Materials Science and Engineering
Kumagai Yu  Yamamoto Takafumi 
Class Format
Media-enhanced courses
Day/Period(Room No.)
Tue3-4(S323)  Thr7-8(S323)  
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 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.


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 Wave diffraction Understanding Wave diffraction
Class 2 Crystal and group theory Understanding group theory
Class 3 Fourier transformation and reciprocal lattice space Understanding reciprocal lattice space
Class 4 Crystal and Linear algebra Calculation with using Linear algebra
Class 5 Exercise on diffraction experiments I Application to diffraction experiments
Class 6 Exercise on diffraction experiments II Application to diffraction experiments
Class 7 Exercise Exercise
Class 8 Linear algebra and its application to physics(1) Linear vector space
Class 9 Linear algebra and its application to physics(2) Linear operator
Class 10 Linear algebra and its application to physics(3) Eigenvalue problems
Class 11 Linear algebra and its application to physics(4) Eigenvalue problems in physics
Class 12 Linear algebra and its application to physics(5) Generalization to infinite dimensions
Class 13 Linear algebra and its application to physics(6) Operators in Infinite Dimensions
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.)

It is preferable to have basic knowledge about crystals for the 1st half. Fur the latter half, basic knowledge about the linear algebra is required.

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