- #1

Heisenberg7

- 99

- 18

I would like to start off my saying how much Calculus I have done so far. I am familiar with the idea of limits, derivatives and integrals (though I do have some holes in my knowledge). So far, I have only done Calculus I. I was introduced to some ideas of Calculus II, but those were mostly from YouTube videos.

For the past week and a half, I've been studying proofs (book of proof by Richard Hammack). The thing is, I am not sure if I should be studying proofs. At this moment, I can say that I am terrible at writing proofs. I do know some techniques (e.g. proof by contradiction) and I understand them really well. But, I am terrible at producing them myself.

Another problem I have is finding the right Calculus book. I tried using Spivak's Calculus book. I understand it pretty well, but there is a huge problem. I can only do about 1/3 of the exercises from each section. Some problems require you to know how to prove things. That's the reason why I set out to learn how to do it. I tried using other Calculus books, but they don't even come close to Spivak's book (when it comes to understanding) and I feel like I'm just wasting my time on them. I would like to master most of the Calculus I and II within a year.

What should I do? Also, I am self-taught.

Thanks in advance