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 | Introduction: Fundamentals I | Introduction: Fundamentals I |
Class 2 | Fundamentals II | Fundamentals II |
Class 3 | Exercise on fundamentals | Exercise on fundamentals |
Class 4 | Differential equations: Quantum states | Differential equations: Quantum states |
Class 5 | Linear algebra (basics) | Linear algebra (basics) |
Class 6 | Linear algebra (applications I: Projection and Operation) | Linear algebra (applications I: Projection and Operation) |
Class 7 | Linear algebra (applications II: Eigenmode analysis) | Linear algebra (applications II: Eigenmode analysis) |
Class 8 | Fourier transformation (basics) | Fourier transformation (basics) |
Class 9 | Fourier transformation and reciprocal space | Fourier transformation and reciprocal space |
Class 10 | Linear algebra and Quantum mechanics | Linear algebra and Quantum mechanics |
Class 11 | Variational calculus (basics) | Variational calculus (basics) |
Class 12 | Variational calculus (applications) | Variational calculus (applications) |
Class 13 | Perturbation theory | Perturbation theory |
Class 14 | Exercise on Linear algebra and Fourier transformation | Exercise on Linear algebra and Fourier transformation |
Class 15 | N/A | N/A |
Specified as necessary.
Specified as necessary.
Short quizzes and reports
No requirements