Introduction: The need for a quantum theory -- Experimental foundations of quantum theory -- Waves and particles -- Schrödinger picture, heisenberg picture and probabilistic aspects -- Integrating the equations of motion -- Elementary applications: one-dimensional problems -- Elementary applications: multi-dimensional problems -- Coherent states and related formalism -- Introduction to spin -- Symmetries in quantum mechanics -- Approximation methods -- Perturbation theory -- Jeffreys-Wentzel-Kramers-Brillouin method -- Scattering theory -- Modern pictures of quantum mechanics -- Formulations of quantum mechanics and their physical implications -- Exam problems -- Definitions of geometric concepts.