From the first Saturn V to the recent launch of the Falcon Heavy, people have always been awed by the enormous fireballs that propel these massive structures into space. In this class we'll be going over the the science and engineering that goes into the design of these rocket engines. The first half of class will be devoted to understanding the physical design of rocket engines, including the various types of rocket engines, turbopump cycles, cooling systems, propellant choice, nozzles, injectors, tanking systems, and more. The second half will be devoted to the physics and thus mathematics that are essential to the design of rocket engines. Depending on the class' interests, we may go over topics such as de Laval nozzle flow, the full engine thrust equation, combustion chamber cooling, injector dynamics, and more.