This short course of 8 lectures is intended to provide a simple introduction to the formalism of Supersymmetry, at a level appropriate primarily for first year graduate students in experimental particle physics, though theory students may also attend. One important aim is to present an introduction to SUSY that follows on, relatively smoothly, from standard graduate (or fourth year undergraduate) courses on relativistic quantum mechanics (principally the Dirac equation), and introductory quantum field theory. To begin with, therefore, the notation adopted will be the one widely used for the Dirac equation in standard RQM courses and texts, and familiarity with this material is an essential pre-requisite for the course. Thereafter, some attention will be paid to introducing the more `professional' (in a SUSY context) spinor calculus notation. It is intended that, by the end of the course, students should have acquired a reasonable understanding of the main elements of the minimal Supersymmetric Standard Model (MSSM). It will therefore be necessary, in the later parts of the course, for students to have some familiarity with the Standard Model, for example simple ideas of non-Abelian gauge symmetries, and the Higgs mechanism. An approximate lecture-by-lecture breakdown is:- 1. Motivations. 2. Spinors. 3. A simple supersymmetric Lagrangian. 4. Towards a supersymmetry algebra. 5. The Wess-Zumino model (the chiral supermultiplet). 6. Superfields. 7. The vector (or gauge) supermultiplet; gauged chiral supermultiplets. 8. The MSSM. Textbooks I am not aware of any that are sufficiently approachable to recommend for this course. For this reason I produced an expanded version of the course after giving it last year; this is available in .ps format on my web site (type Ian Aitchison into Google). Some material that may be useful is contained in Aitchison and Hey `Gauge Theories in Particle Physics' 3rd edition, volume 2: QCD and the Electroweak Theory, for example chapters 12 & 13 (global and local non-Abelian symmetries), chapters 17, 18 & 19 (spontaneous symmetry breaking), and Appendices M (Group Theory, including the Lorentz group) and P (Majorana fermions). Apart from this, a useful reference at a more advanced level, and including quite a lot on phenomenolgy (which I omit almost entirely), is `A Supersymmetry Primer' by Stephen P. Martin, hep-ph/9709356. In most recent years, the CERN-DUBNA European School of High-Energy Physics has included a course on SUSY (eg by Peskin in 1996, and Ellis in 2001). The write-ups of these are contained in the appropriate `yellow reports', and may be worth a look.