I recently finished a Calc 1 course at my school and I have a few general questions about understanding the subject. My class stressed the mechanical aspects of calculus and ignored proving things or explaining why things work. I am hoping to study math in college(and i want to know anyway) so should I try to go back in fill in some of the blanks ? I have tried to look at some of the proofs out of the book, and while some I think I understand (like the delta-epsilon stuff), some I cannot follow at all. Even worse is that I can usually follow them but I cannot understand how someone could possibly think up some of the steps. I have never had a class that stressed learning this stuff so I really don't understand proofs altogether.
I guess my questions are - should I worry about this now? and where could I find resources to help me understand it better. Any advice is welcome thanks.