2016 Mathematical Methods for Materials Science

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Academic unit or major
Undergraduate major in Materials Science and Engineering
Instructor(s)
Sasagawa Takao  Tada Tomofumi 
Course component(s)
Lecture     
Day/Period(Room No.)
Mon1-2(S7-201)  Thr1-2(S7-201)  
Group
-
Course number
MAT.C310
Credits
2
Academic year
2016
Offered quarter
4Q
Syllabus updated
2016/4/27
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 Intoroduction Intoroduction
Class 2 Vectors in crystals Vectors in crystals
Class 3 Tensors in solid state physics I (elastic and dielectric properties) elastic and dielectric properties
Class 4 Tensors in solid state physics II (transport properties) transport properties
Class 5 Differential equations: quantum states Differential equations: quantum states
Class 6 Differential equations: distribution functions and thermal properties I distribution functions and thermal properties
Class 7 Differential equations: distribution functions and thermal properties II distribution functions and thermal properties
Class 8 Linear algebra and eigenmode analysis I (basics) Linear algebra and eigenmode
Class 9 Linear algebra and eigenmode analysis II (applications) Linear algebra and eigenmode
Class 10 Dirac's delta function delta function
Class 11 Fourier transformation and reciprocal space Fourier transformation and reciprocal space
Class 12 Special functions in quantum mechanics Special functions in quantum mechanics
Class 13 Variational method Variational method
Class 14 Green's function and response functions Green's function and response functions
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

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