>>3
Having seen the material before always helps, so it should be a little easier the second time around.
Definitely know your trig and algebra (especially polynomials).
>>5
I don't quite see it as a "new way of thinking". I see it more as an extension of algebra that merges it with analytic geometry. Of course, these are just subjective interpretations.
>>6
Lurk Moar. He doesn't become psychotic unless the R or G words are mentioned.