Aims

Introduction to physical ideas of certain important theories of contemporary physics. Implementation of associated mathematical techniques

Main themes

The contents can vary from year to year, depending on the interests of the auditorium and the teacher that effectively gives the course. The subjects looked upon will be chosen in the following list:
1. Theory of distributions
2. Differential operators and integral operators in Hilbert space, and physical applications
3. Linear and nonlinear partial derivative equations, solitons
4. Lie groups and Lie algebras, and their representations
5. Stochastic methods in physics: Markov chains, functional integration, statistical mechanics of non-equilibrium, renormalization group and critical phenomena, random walk.

Other credits in programs