  This is a review article of eleven dimensional supergravity in which we
present all necessary calculations, namely the Noether procedure, the equations
of motion (without neglecting the fermions), the Killing spinor equation, as
well as some simple and less simple supersymmetric solutions to this theory.
All calculations are printed in much detail and with explicit comments as to
how they were done. Also contained is a simple approach to Clifford algebras to
prepare the grounds for the harder calculations in spin space and Fierz
identities.
