The course covers selected mathematical topics
encountered in materials modelling and in related courses on quantum mechanics,
statistical mechanics, thermodynamics and transport phenomena. The course will
enable students to solve specific problems in integral and differential
calculus and linear algebra that appear in physics and materials science and to
understand common mathematical concepts in these fields.
The discussed topics include:
- Complex analysis (functions of complex variable, Cauchy’s and residue theorem)
- Analytic functions and their use in evaluation of definite integrals
- Vectors and matrices
- Linear transformations and tensors
- Fourier series
- Dirac’s delta function
- Integral transforms (Fourier, Laplace, convolution theorem)
- Sturm-Liouville theory of linear differential operators
- Partial differential equations
- Kursleiter/in: Matous Mrovec
Semester: SoSe 2024