<p>If you’re a complete beginner at calculus, I think you should carefully read Calculus Made Easy by Sylvanus Thompson. It’s written for people who want a brief introduction to calculus. But it’s not rigorous and isn’t a substitute for a textbook. If you want a head start in a calculus course, I recommend that you read that book. There was one part that used the binomial theorem, which I didn’t know, so that didn’t make sense to me. I don’t think you should try to teach yourself an entire quarter or semester’s worth of calculus. Sometimes you miss things when going over a book that you wouldn’t in the professor’s lectures.</p>
<p>Don’t bother trying to teach yourself chemistry, that’s a waste of time. All you need to do is familiarize yourself with the material so that when the professor goes over it in lecture, you know what to expect. Especially if it’s not your strong subject, I’d advise preparing for it beforehand even if other people tell you otherwise. It can really kill you if you don’t study properly.</p>
<p>I would say don’t bother teaching yourself calculus. It’s pretty difficult to do on your own unless you are really good at math. Even then, you probably won’t be able to teach it to yourself rigorously, much less at the level demanded from most college calculus courses. And as some posters pointed out, this could quite possibly be the only summer off you’ll have for a very long time. Take a rest and enjoy it!</p>