1. Basic definitions, postulates (probability, ensemble). Link to thermodynamics, statistics and quantum mechanics. Canonical ensemble.

2. Micro-canonical and grand-canonical ensemble. Overview of characteristic functions and expressions for p, V, S, E in different ensembles.

3. Monoatomic ideal gas -- non-interacting particles. Fermi-Dirac, Bose-Einsetein and Maxwell-Boltzmann statistics.

4.-5. Diatomic and polyatomic molecules. Zero point energy. Translational, rotational, vibrational, electronic and nuclear contributions to thermodynamic functions. Equilibrium constant. Mixture of ideal gases.

6. Real gas -- interacting particles. Intermolecular potentials. Virial expansion. Virial coefficients from Mayer functions. Virial coefficients for pair potentials.

7. Statistico-mechanical theory of fluids. Quasi-classical approach -- pair correlation function. Van der Waals equation and Kirkwood equation. Perturbation methods.

8. Simulation methods: Molecular Dynamics and Monte Carlo. Distribution functions and thermodynamic functions and methods for their computation.

9. Ideal crystal. Frequency distribution. Enstein and Debye model of a crystal. Heat capacity and temperature limits. One-dimensional case, phonons.

10. Ising model. Phase transitions, fluctuations and long-range correlations. Mean field and renormalization group theories.

11. Thermodynamics at interfaces. Theory of adsorption. Intermolecular interactions at surfaces. Langmiur and BET isotherms. Distribution functions for selected geommetries.

12. Non-equilibrium thermodynamics. Liouville operator, time-dependent ensemble average. Boltzmann equation. Time-correlation functions. Absorption of radiation.

If desired, the advanced topics in the second part of the syllabus can be modified to meet individual needs of the participating students.