1)Elasticity
Strain and stress tensors, free enregy of deformation, Hooke law, simple examples of strain states, elastic constantes of crystals, equations of equilibrium of isotropic body, resolution of a few classical problems (pressurized cavity, Boussinesq problem, Hertz problem), torsion of a rod, bending of a beam, deformation of rod, buckling of a compressed beam, deformation of a thin plate, elastic waves in isotropic media, elastic waves in a crystal, Rayleigh waves, bending waves in rods and plates.
2) Fluids dynamics
Continuity equation, Euler equation, hydrostatics, Bernoulli equation, energy flux, momentum flux, conservation of circulation, potential flow, sound, Navier-Stokes equations, Poiseuille flow, Reynolds numbers and other dimensionless numbers, Stokes formula.