(*)Upon completing the course, students will possess the following skills. They are able to
- understand and explain mathematical derivations of important theorems (k2);
- characterize the mathematical methods taught in this course in relation to the mathematics taught in BSc courses (k4);
- differentiate between mathematical methods, and recognize which physical problems they can be applied to (k4).
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(*)During the course, students will acquire knowledge about advanced mathematical methods in physics, selected from the topics below:
- complex calculus and theorem of residues;
- Fourier analysis;
- Greensfunction formalism for partial differential equations;
- nonlinear differential equations;
- variational methods in physics;
- functional analysis;
- integral equations;
- distributions;
- topology;
- random-matrix theory.
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