Well, that was hard to follow, but I'm guessing that it was copied from a college prospectus. I personally do not believe that there is any such thing as precalculus or prealgebra, or any other specific preparation for "specific topic" mathematical training.
You can use and understand calculus if you are reasonably adept with high school math. I personally did very well with calculus (in fact I found it fun - really!). My regular math "history" at school was pretty ordinary.
I'm not sure if there is a "Calculus for Dummies", but if there is, and my math was not too bad, I'd start there.