Contents according to the Module Catalogue (version 2015):

1. Fundamentals of Statistics: Elements of Statistics (Central Limit Theorem and Statistics of extremes); Micro-and macro-states; Probability space (conditional probability, statistical independence);
2. Statistical Physics: Entropy and probability theory; Entropy in classical physics; Thermodynamic Equilibrium in closed and open systems (with energy and / or particle exchange)
3. Ideal Systems: Spin systems; Linear oscillators; Ideal Gas
4. Statistical Physics and Thermodynamics: The 1st law; Quasi-static processes; Entropy and temperature; Generalized forces; The second and 3. law; Reversibility; Transition from statistical physics to thermodynamics
5. Thermodynamics: Thermodynamic fundamentals relationship; Thermodynamic potentials; Changes of state; Thermodynamic machines (Carnot engine and efficiency); Chemical potential
6. Ideal Systems II, quantum statistics: Systems of identical particles; Fermi gas; Ideal Bose gas and Bose-Einstein condensation; Grids and normal vibrations: phonons
7. Systems of interacting particles: Approximation methods (mean-field theory, Sommerfeld expansion); Computer simulation (Monte Carlo method); Interactive phonons (Debye approximation); Ising models (particularities in 1 and 2 dimensions); Yang-Lee-theorems; Van der Waals equation for real interacting gases
8. Critical Phenomena: Scaling laws, critical slowing down, fast variable as Bad (electron-phonon interaction and BCS superconductivity); Magnetism (Quantum criticality at low temperatures, Quantum phase transitions at T = 0); Problems of the thermodynamic limit
###### Intended learning outcomes:

The students have in-depth knowledge of the methods of theoretical physics. They have mastered the basics of  thermodynamics and statistical mechanics. They can use the acquired theoretical concepts and fit them into a larger physical context and discuss their consequences.