Explain to me the secrets of Calculus

I will not take a Calculus class, but I know it contains a multitude of mind opening secrets, creating a sort of enlightenment wherein your perspective of the world and everything you know changes, but like a psychedelic drug, you can never describe it unless you make someone else go through it.  I refuse to go through the experience, but try to explain to me, a mere mortal, what these mind opening secrets and changed perceptions are.

So you could explain the basic idea of topology to Algebra students?  Some students would appreciate math a lot more knowing the big picture first.