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.
Students will get the knowledge and skills of Mathematical methods for Materials Science.
Mathematical methods for Materials Science
✔ Specialist skills | Intercultural skills | Communication skills | ✔ Critical thinking skills | Practical and/or problem-solving skills |
Lectures and practices.
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 |
Specified as necessary.
Specified as necessary.
Short quizzes and reports
No requirements