Contractions and extremal rays. Pairs and their singularities. Kodaira dimension. The log minimal model program. Cone and contraction, vanishing, nonvanishing, and base point freeness. D-flips and local finite generation. Pl flips and extension theorems. Existence of log minimal models and Mori fibre spaces. From nonvanishing to log minimal models. Finiteness of log minimal models. Termination with scaling. Nonvanishing.