To graduate students accustomed to working with the numerical solution of partial differential equations using finite difference, finite elements, spectral methods, etc. where time generally progresses in evenly-spaced small intervals, switching paradigms to a discrete-event simulation environment is not only counterintuitive but is also difficult. The SimCenter at the University of Tennessee Chattanooga recently introduced a class in discrete event simulation with the goal of providing sufficient coverage of the topic to enable any of the SimCenter's students completing the course to work effectively in a typical industry- or government-supported simulation modeling group. The course is structured around a diverse set of engineering problems rather than traditional industrial engineering-type simulations in order to present the material in a more palatable fashion for students who come primarily from other disciplines. This paper discusses the organization of the class and serves as a good outline for another professor attempting a similar introduction.