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Alright, my current high school math class is IB Higher Level Mathematics. It's a two year long course. During the first year we have focused primarily on Advanced Algebra, Trigonometry, and we are about to start Vectors. Year 2 consists of Calculus I, Statistics, and then we focus on our class "option" which, for us, is Sequences and Series and Differential Calculus.

So, seeing as how I will have a firm base in Calculus 1 by the end of my senior year, I was wondering if teaching myself Calculus 2 over that summer is a viable option? From everything that I have read, Calculus 2 is incredibly difficult which makes me think that independent study is next to impossible. I want to learn it independently because I'd love to test out of Calculus 2 my freshman year and jump right into Calculus 3.

Opinions? If you feel that learning calculus 2 independently is doable, then what books to recommend for doing so (for future reference)?

Thanks!

-Jacob