Physics of semiconductors. Semiconductor crystals. Approximations of the mean velocity and the effective mass of the electron. Semi conduction statistics. Classic kinetic transport models. Liouville equation. Wallace equation. Boltzmann equation. The quantum kinetic transport models. Wigner equation. Quantum Wallace equations and quantum Boltzmann equation. From kinetic to fluid dynamics model. Drift-diffusion equations: the first derivative. Drift-diffusion equations: the second derivative. Hydrodynamic equations. Model of spherical harmonic expansion. Limitations of the relaxation time. Drift-diffusion equation. The state of thermal equilibrium and boundary conditions. Static current-voltage characteristics of diodes. Numerical discretization of stationary equations. The equations of energy transport. Symmetrisation and entropy. Drift-diffusion formulation. From the kinetic model to the model of quantum hydrodynamics.