Re: So what is calculus with analytic geometry?
well - this would be a highly relevant course and very representative of the type of stuff you'll be dealing with on a routine basis in an Aerospace Engineering environment.
At the theoretical level, the course topics might include stuff like analyzing conic sections, using parametric equations, and working with vectors and surface of revolutions
On the practical side of things, you can look at applications of the above mentioned topics to areas such as projectile motions, friction & gravity, flux etc.
Should be a great course! I took it as one of the six math courses in my A-Levels... think this was advanced P3.