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 | Applied calculus: Distribution functions and thermal properties I | Distribution functions and thermal properties |
Class 6 | Applied calculus: Distribution functions and thermal properties II | Distribution functions and thermal properties |
Class 7 | Exercise on differential equations and applied calculus | Exercise on differential equations and applied calculus |
Class 8 | Linear algebra (basics) | Linear algebra (basics) |
Class 9 | Linear algebra (applications I: Projection and Operation) | Linear algebra (applications I: Projection and Operation) |
Class 10 | Linear algebra (applications II: Eigenmode analysis) | Linear algebra (applications II: Eigenmode analysis) |
Class 11 | Fourier transformation (basics) | Fourier transformation (basics) |
Class 12 | Fourier transformation and reciprocal space | Fourier transformation and reciprocal space |
Class 13 | Linear algebra and Quantum mechanics | Linear algebra and Quantum mechanics |
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