I The Supersymmetry Algebra and its Representation of Fields -- Sect. 1 The supersymmetry algebra, superspace, superfields -- Sect. 2 The superconformai algebra -- II Specific Models in the Tree Approximation -- Sect. 3 Chiral models -- Sect. 4 Abelian gauge models -- Sect. 5 Non-abelian gauge models -- Sect. 6 Supercurrents -- III Perturbation Theory in Superspace -- Sect. 7 A simple example -- Sect. 8 Feynman rules and power counting -- Sect. 9 The subtraction scheme -- Sect. 10 Normal products -- Sect. 11 The action principle -- Sect. 12 Symmetric operators -- IV Renormalization: Hard Anomalies -- Sect. 13 Rigid symmetries -- Sect. 14 Abelian gauge invariance -- Sect. 15 Non-Abelian gauge invariance -- Sect. 16 Renormalized Supercurrents -- V Renormalization: Soft Anomalies -- Sect. 17 Mass generation-the O'Raifeartaigh model -- Sect. 18 The off-shell infrared problem in SYM -- Appendix A Notations, conventions and useful formulae -- Appendix B Generating functionals -- Appendix D Symmetric insertions and differential operators -- Appendix E Solution of some superfield constraints -- References.