  This review is an extended version of my mini course at the Etats de la
recherche: Operateurs de Schroedinger aleatoires at the Universite Paris 13 in
June 2002, a summer school organized by Frederic Klopp. These lecture notes try
to give some of the basics of random Schroedinger operators. They are meant for
nonspecialists and require only minor previous knowledge about functional
analysis and probability theory. Nevertheless this survey includes complete
proofs of Lifshitz tails and Anderson localization.
