Crash Course in calculus

OK, I'm taking a course called Applied Differential Equations and I'm quickly finding out that I need a crash course in calculus.

So, does anyone have any websites, advice, or some sort of plan that can help me here?

All that limits stuff requires a re-tool in your thinking about logic, especially the existential and universal quantifiers. To understand limits, you may need to go look at logic and see what insights it can offer you on how to understand these two types of statements, "there exists..." and "for all..." They are not easy to understand, and I think that it is the main reason why limits are not so easily understood at first (or at least why I did not understand them well a first). You don't need to go through that, however, and just learn vaguely that it is something it "approaches." Approach derivatives, learn the basic rules, and practice with them until you can do it easily. Move on to indefinite and definite integrals, the basic rules, and then the other methods, and also practice until you can do it easily.

derivative gives you slope
integration gets you area
you can do both in multiple dimensions along arbitary paths

there, that's 12 credits of calculus.

given a,L in R and f:R->R, lim x->a f(x) = L iff [for all e in R with e > 0 there exists d in R with d > 0 such that [for all x, if 0 < |x-a| < d then |f(x)-L| < e ]]

OP here, and I think I should have restated my problem in another way.

I know the basic definition of integrals and derivatives, however, I have BIG issues with things like integration by parts, spotting the derivative and integral of trig functions right away, and basically, just rules they don't tell you until like 2/3 of the way into the term

>>5
Practice

>>5
Try reading Calculus for Dummies.