Electronic states in atoms and molecules. Born-Oppenheimer approximation. Crystal structure, including databases and visualization. Reciprocal space and Brillouin zone. Band theory using tight binding and plane waves. Introduction to density functional theory. Bonding and electronic structure in metals, semiconductors, ionic crystals, and complex oxides. Symmetry in materials: point groups, space groups, and time-reversal symmetry. Physical properties of crystals and their tensor representation. Introduction to correlated and topological quantum materials.