Free surface flows
(1) Uniform flows: introduction, uniform flow, critical state, mild and steep slopes, steady flow profiles in cylindrical channels, (2) Hydraulic singularities: hydraulic jump, sluice gate, spillway, flow modification due to bends, (3) Flow profiles in case of known and unknown discharge, (4) Steady flows with nonuniform discharge: cases of increasing and decreasing discharge, (5) Gradually varied flows: De Sant Venant equations, kinematic approximation, linear and nonlinear parabolic model, characteristics method, finite differences method, Ritter's case study, (6) Rapidly varied flows, (7) Hydraulic similarity: dimensional analysis, Buckingham theorem, cases study.
Flow in porous media
(1) Soil physical knowledge: introduction, Perrault experiment, soil physical properties of hydrological interest, the total potential of the soil water and its components, the hydraulic conductivity at soil saturation and the Darcy law, experimental determination of the soil physical properties (2) Hydrostatics in a uniform porous medium: generalization of the Darcy law, constitutive laws, hydrostatics of a soil layer lying on an impervious boundary, (3) Dynamics of water in a uniform porous medium: conservation of mass, the Richards equation, the Laplace equation, the Boussinesq equation, boundary conditions, meaningful flow cases in saturated and unsaturated porous media, (4) Groundwater hydraulics.