Ten years ago the Sunnner Institute on Trends in Particle The- ory was held in Bonn. Among other subj ects J. Wess spoke on his work wi th B. ZlDllino on Fermi - Bose-Supersymmetry . In the meantime this subject has developed into one of the most exciting fields of research and the Bonn Summer Institute (August 20 - August 31 1984) was devoted exclusively to supersymmetry. The main aim of the Summer Institute was to provide a compre- hensive introduction for mainly young post-doctoral theoretical physicists to the currently most discussed subjects in supersynnne- try and supergravity. The intention was to emphasize the pedagogi- cal presentation. The seminars given in addition to the introduc- tory lectures treat more specialized subjects and are closer to research reports. Since the topics, ranging fromalgebraic structures to experimental implications do not arrange easily in a one-dimension- al array, the lectures are reproduced in alphabetic order of the lec- turers. The Summer Institute was made possible by the NATO Advanced Study Programme, additional support was granted by the Bundesmi- nisterium fur Forschung und Technologie and the Ministerium fur Wissenschaft und Forschung of Nordrhein-Westfalen. We gratefully acknowledge their cooperation. It is a pleasure to thank the lecturers and seminar speakers for the effort invested in the presentation of the lectures and in their collaboration in preparing the written notes.