Supersymmetric quantum mechanics : an introduction The book is an outgrowth of a seminar course taught to physics and mathematics juniors and seniors at Loyola University Chicago. It is written at a level accessible to an undergraduate student (and anyone else) who has studied ordinary differential equations and some matrix algebra and has had an introduction to the Schrödinger equation (which we review in Chapter 2). Our goal is to provide a single compact source for anyone who wants to understand the essentials of supersymmetric quantum mechanics Traditional quantum mechanics the hard way Algebraic solution for the harmonic oscillator Supersymmetric quantum mechanics (SUSYQM) Shape invariance The generators of supersymmetry Angular momentum Dirac theory and SUSYQM WKB and SWKB Isospectral deformations SUSYQM and quantum Hamilton Jacobi theory Generating shape invariant potentials Singular superpotentials Connections between the Wigner functions of shape invariant systems