Mathematics: Integrals, trigonometry, derivatives, functions, first and second degree equations, limits Thermodynamics: First principle of thermodynamics Second principle of thermodynamics Perfect gas Real gas Pressure force work Thermal machines Phase changes of a pure substance (or of a chemical species): - phase diagram - enthalpy and entropy of change of state - liquid-vapor balance Dynamics of compressible fluids: - HUGONIOT's theorem - Speed of sound in an ideal gas