Through our study of aircraft design, we have grown to love the beautiful mathematics behind aerodynamics and flight mechanics. These analytical solutions grew out of intense work by aerodynamicists that were well versed in physical laws and mathematical principles. With the development of the computer in the 1960’s and subsequent improvements to hardware and coding structure over the past 60 years, much of the aerodynamic research shifted to computational methods. Although extremely important and useful, these computational results cannot provide the same level of insight into aerodynamic phenomena as analytic solutions. In order to solve the toughest challenges that lie ahead for the aircraft design community, we must have a better understanding of the fundamentals. Such an understanding will enable mankind to make significant progress in supersonics, hypersonics, turbulence modeling, unsteady vortical flows, flapping flight, and other challenges. Our goal is to provide world-class aeronautical education available to all who would like to contribute to the design of future of aircraft or aerospace research.