Reading
Kittel chapter 9: Energy bands or R. Gross und A. Marx: Energiebänder

For the exam you should:
• be able to draw the approximate E vs. k dispersion relation for an electron moving in a one-dimensional potential.
• know the Bloch theorem.
• know the empty lattice approximation. Given the first Brillouin zone of a crystal, you should be able to draw the dispersion relation in a few high symmetry directions using the empty lattice approximation.
• know that there are N allowed k-vectors in the first Brillouin zone where N is the number of unit cells in the crystal. There two electron states in every band for k-vector.
• be able to explain the plane wave method and the tight binding model for calculating bandstructure.
• know how to construct the electron density of states from a dispersion relation.
• be able to explain what the difference is between a metal, a semiconductor, and an insulator.

Student presentations
• Kronig Penney Model - Christoph Heil, 2008
• Bloch Theorem - Sebastian Nau und Thomas Gruber, 2008
• Nearly Free Electron Model - Andreas Katzensteiner und Roland Schmied, 2008
• Plane wave method for fcc crystals: Daniel Möslinger, 2014 Description (pdf), Matlab files

Resources
Periodic table of electronic bandstructures NSM semiconductor database
Paul Falstad's 1-D Crystal Applet