This note covers the following
topics: Conventions, Differential graded algebras, Differential graded
modules, The homotopy category, Cones, Admissible short exact sequences,
Distinguished triangles, Cones and distinguished triangles, The homotopy
category is triangulated, Projective modules over algebras, Injective modules
over algebras, P-resolutions, I-resolutions, The derived category, The canonical
delta-functor, Linear categories, Graded categories, Differential graded
categories, Obtaining triangulated categories, Tensor product, 24. Derived
tensor product, Variant of derived tensor product, Characterizing compact
objects and Equivalences of derived categories.

**Author(s):** Columbia University

57**Pages**