1.Waves and particle. Introduction to the fundamental ideas of quantum mechanics. 2.The mathematical tools of quantum mechanics. 3.The postulates of quantum mechanics. 4.Application of postulates to simple vases: Spin1/2 and two. Level systems. 5.The one-dimensional harmonic oscillator. 6.General properties of angular momentum in quantum mechanics. 7.Particle in a central potential. The hydrogen atom. 8.An elementary approach to the quantum theory of scattering by a potential. 9.Electron spin. 10.Addition of angular momenta. 11.Stationary perturbation theory. 12.An application of perturbation theory: the fine and hyperfine structure of the hydrogen atom. 13. Approximation methods for time dependent problems 14.Systems of identical particles.