Here's my (long) story cut short. I was awful at math in high school. I did 4 years in the service and now I'm going to start college in just a few weeks. I am really nervous because I will have 5 classes in my first semester; 3 of which will be Discrete Math, Calculus I, and Linear Algebra I. I took Calculus I at community college and got a 100, but I feel like these classes will go into much more depth since it is University level. I have also completed all of Khan Academy up to and including Integral Calculus.
I am currently doing all of the practice problems in a exercise booklet that my school sent me to brush up on precalculus and some of Calculus I. I have also gotten Gilbert Strang's Introduction to Linear Algebra and just started using it along with MIT OCW's Linear Algebra Course.
What can I do to better prepare myself in the little time I have left? What advice can you all give me for once the semester starts? The trepidation is giving me a lot of sleepless nights.
I don't know the requirements of your CS major, your time schedule for finishing your degree, or the nature of your other two courses, but I'm curious why you have scheduled three math courses out of five first term courses. Is that your idea alone, or have you talked with an adviser in your major about this schedule? Ordinarily, my personal preference would be to wait to take linear algebra until after calculus and discrete math. Maybe your case is an exception because of the AP calculus. Or because of the pace of related CS topics in parallel.
That said, you seem to have done what you can to get ready. You are probably right that the college calculus course will be different from AP calculus, and it is a good thing that you expect that. The most dangerous approach would be to think you already know everything, not notice key differences in approach or extra topics as the terms goes along, and then have too much to straighten out just before the first exam. (In particular, you may find some of the material in Kahn academy to have been very different from what you are supposed to learn in a college course. Fundamentally different approaches, goals, degrees of appreciation for rigor, etc, are possible. Focus on your instructor's approach for now, you have the rest of your life to sort out any differences.)
Finally, I would like to agree with the Comment 'don't worry too much.' Unless being a 'party animal' is also big in your plans, even a demanding schedule can be feasible if you can manage your personal stress level along the with the academic work. Take a few minutes now and then to ponder the wonder of learning great mathematical ideas from several centuries all in a relatively short period of time.