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.
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 | 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 |
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.
Specified as necessary.
Short quizzes and reports
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.