I'll be taking the first semester of Calculus next semester and I'm not really sure what to expect. I just ordered the textbook online (author is Stewart, I hear its popular) so I won't be able to preview the material for a few days. But I think its stuff like functions, limits, integrals, etc. My professor has pretty decent reviews so I'm not too worried about her teaching skills.
The problem is I'm not very good at math. I typically get C's when I put in the minimum amount of work (doing just assigned hw), and I get B's when I really work my ass off. For some reason its impossible for me to get A's. If its any indicator of future success/failure, I took PreCalc last semester and got a C. But again, with minimum amount of work because I was swamped with other classes and work. However I'm quitting my job and taking fairly easy classes so I'll devote myself 110% to calculus.
Stewart's textbook is meant for the non-mathematician/physicist, viz. economics or biology students who need to learn calculus, but who are not interested in the math, per se. In other words, Stewart's book is great to learn how to solve calculus problems but you aren't going to become good at proof, nor are you going to do well in analysis using Stewart.
Calculus really isn't that difficult: Pick up the book now and start learning from it. If you're a visual learner, go to
http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/ They probably use Apostol or Spivak's book. It will be more rigorous than the course you are taking, but it will prepare you well.
I just realized when this post was created... look, if you sit down for 3-4 days, 10-12 hours a day, you should be able to learn single variable calculus well. It really isn't hard. You'll be comfortable with the topics presented in the course and you'll be ready for the exams.
For what its worth, when I was a preteen, I sat down with Apostol's two volume work, _Calculus_, and within 5 weeks, finished the two books (and completed all the questions in the books). All it requires is hard work and dedication. I know this is not typical, but that's not because most do not have the aptitude (I do not know whether you do or not: Grades are not indicative of intelligence), but rather because people aren't willing to devote the time.
Just work at it. Calculus has a reputation to be this grueling, ball breaking course. It isn't. Don't psychologically defeat yourself before you have even tried.