The course will discuss some basic notions and results in the theory of random Schrödinger operators. Topics include localization (one and multidimensional), existence and properties of the density of states (regularity, Lifshitz tails), and level statistics for finite-volume approximations. The course will focus on the Anderson model but (time permitting) will also study other Anderson-type Hamiltonians (e.g., models with decaying randomness).