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My basic maths aren't too rusty (all the pre-calc stuff), basic linear algebra and I just started working through Vellaman's "How to Prove It". My concern is that I don't remember anything from calculus - should I relearn it now or just take analysis w/o re-learning it? Do I have enough time to cultivate the mathematical maturity needed for these courses? if so, what should I focus on?

I welcome any advice or pointers! Thank you.