1.Survey of classical mechanics. 2.The old quantum theory. 3.The Schrödinger wave equation with the harmonic oscillator as an example. 4.The wave equation for a system of point particles in three dimensions. 5.The hydrogen atom. 6.Perturbation theory. 7.The variation method and other approximate methods. 8.The spinning electron and the Pauli Exclusion Principle, with a discussion the helium atom. 9.Many-electron atoms. 10.The rotation and vibration of molecules. 11.Perturbation theory involving the time, the emission and absorption of radiation, and the resonance phenomenon. 12.The structure of simple molecules. 13.The structure of complex molecules. 14.Miscellaneous applications of quantum mechanics. 15.General theory of quantum mechanics.