Calculus Notes

Calculus Notes Preface The Calculus I and II topics follows the AP Calculus BC course on Khan Academy. Most problems/solutions are taken from the quizzes, videos, and examples and as such are taught better than they are here. A small amount are ones I came up with to illustrate my point and some additional notes are outside the initial scope of AP Calculus BC but are useful for more advanced math which at the time of writing I am interested in. These are “living” notes, I update them as I learn and as a result may change, be reformatted, or be inaccurate at times. As of writing, I am not done with AP Calculus BC, so I am still writing notes for these topics. I aim to be as accurate as possible but I am a student of Calculus and am not qualified to teach Calculus. These notes are in no way supplements for any actual material and instead are just for reference, please use them as such. You will in no way gain any deep understanding of the topics discussed here by reading solely these notes. Most important thing that I can impart from these notes though is not the material, but some advice: don’t give up in Calculus, people hype it up to be way harder than it actually is. It is self-teachable, it is understandable, and it is fun. Math is fun. Calculus will come easier to you if you treat it like a game full of puzzles. Might be a boring game initially, but a game nonetheless. If I, in my seemingly never ending stupidity, can do it: so can you. To quote Silvanus Thompson: ...

February 1, 2022 · Coleton O'Donnell