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?
You'll probably end up taking an intro to proofs class if you major in math. I studied a lot of the stuff before hand, so I thought it was easy, but then I got to higher math, and I was screwed, because I didn't know how to adjust to not knowing anything. I really struggled/continue to struggle with more heavy theoretical math.
It just depends on you, though. I didn't really know anything about proofs either going into it, and yes, you will be at a disadvantage, but it's possible to learn. Just don't expect it to be as easy as it is now, because I promise, it gets a lot harder later.