In this lecture we review the most popular inverse methods for EEG and MEG source reconstruction. Inverse methods can be divided into three different catagories: a) overdetermined models, b) underdetermined dipole field reconstructions with additional constraints, and c) scanning methods resulting in pseudoimages of neural activity. We will present an introductory course into the following methods: 1. Dipole models, 2. Minimum norm solutions and variants (L2, L1, mixed norms, S-FLEX), 2. Beamformers (SAM, LCMV-beamformer, DICS) , and 4. subspace methods (MUSIC and RAP-MUSIC). The aim of this lecture is to explain the main concepts behind these methods, and to illustrate respective strengths and weaknesses in mostly simulated data.