Analytical mechanics
The Lagrange and Hamilton formalisms, periodic motion, Euler-Lagranges equations, variational calculus, Chirikov's criterion and Poincare plots.
Statistical mechanics
Microcanonical and canonical ensembles. Hamilton’s equations and Liouville’s theorem. The relation between statistical mechanics and thermodynamics. The ideal gas, the Maxwell- Boltzmann distribution and the entropy concept.
Fluid mechanics
The continuity equation, viscosity and Navier-Stokes equations. Different boundary conditions and solutions in simple geometries. Laminar and turbulent flow. Reynolds number.