This is a collection of class notes, handouts, homework assignments, and exam problems developed over the past years teaching courses in Process Systems Engineering at the University of South Carolina. Most of the material relates to ECHE 550, Chemical Process Dynamics and Control. This course covers the basics of dynamic modeling, solution and analysis of ordinary differential equations using Laplace methods, feedback control, and some advanced control topics. Information is also included from other courses, specifically ECHE 589 Intermediate Process Control. The intermediate course includes more advanced topics, such as numerical optimization and discrete time dynamic modeling.