I am just finishing grade 12 pre-calculus at my school and have strong interest in math. The problem is, it seems some important elements of higher level math are not in my schools curriculum that are sometimes taught in pre-calculus.
My school offers Calculus and uses Stewarts text. I am planning to take it but what I can't decide is whether or not I should be self studying logic / set theory / proofs before studying calculus at a post secondary level to be able to handle rigorous texts in post secondary like Spivak.
If I was to just go ahead and take the Calculus that my school offers would I be adequately prepared for first year post secondary calculus / linear algebra courses or would most of the proofs / set theory be taught in first year p.s. courses?