I. Thermodynamics1. The laws of thermodynamics2. The thermodynamic potentials3. Multicomponent thermodynamics4. The third lawII. Kinetic theory of gases5. The Boltzmann equation6. HydrodynamicsIII. Statistical mechanics7. Classical statistical mechanics8. Quantum statistics9. Applications of quantum statistics10.Ideal quantum gases11.The Ising model

Thermodynamics and its applications, and basics of the kinetic theory of gases and of statistical mechanics: equilibrium, work and heat, laws of thermodynamics, Carnot process, absolute temperature, entropy, ideal gas, thermodynamic potentials, phase transitions, multicomponent systems; Boltzmann equation, H-Theorem, Maxwell-Boltzmann distribution; statistical ensembles.

Thermodynamics and its applications, and the basics of the Kinetic Theory of Gases and of Statistical Mechanics: equilibrium, work and heat, Laws of Thermodynamics, Carnot process, absolute temperature, entropy, ideal gas, thermodynamic potentials, phase transitions, multicomponent systems; Boltzmann equation, H-Theorem, Maxwell-Boltzmann distribution; statistical ensembles.

The course covers various topics in the field of topological matter, such as the quantum Hall effect (integer and fractional) and symmetry protected topological insulators, but also concrete models for illustration. Methods vary from more heuristic to more mathematical ones. Concepts to be introduced include fiber bundles, Chern numbers and other indices, bulk-edge correspondence, and anyons.