The goal of this course is starting from the quantum description of states and dynamics and applying techniques such as perturbation theory, variational or semiclassical analysis, mean field theory, etc. to apply quantum theory to the study of the structure and transformations of matter. A typical example is the description of metals as a gas of electrons in a crystal lattice. Some of the topics covered will be three-dimensional Schrodinger equation and angular momentum, bound and scattering states, quantum tunneling, identical particles, etc. This course is essential for such applied courses as PHY 420 Condensed Matter Physics and PHY 460 Materials Science.