Free energy and statistical ensembles (revision).
Quantum statistics (revision).
Order parameters; symmetry breaking; topology.
Landau's theory of phase transitions.
Correlations, response and dissipations.
Abrupt (1st order) and continuous (2nd order) phase transitions.
Symmetries (basic concepts).
Groups; representation of groups.
Irreducible representations; properties of vector and tensor irreducible operators.
Applications of group theory.
Bibliography of reference
Statistical Mechanics - entropy, order parameters and complexity, J. Sethna, Oxford Univ. Press (2006) Group Theory and Quantum Mechanics, M. Tinkham, Dover (2003) Symmetry: an introduction to group theory and its applications, R. McWeeny, Dover (1963).