Hello my name is Andrew I'm also in high school a sophmore. I got sort of behind my 8th and 9th grade years in math currently to catch up I'm at the university in my town. I've always loved math, but its taking time to get through all the basics for calc and so on. I mainly want to get to some of the latter topics in linear algebra, differential geo, and DE so that I can understand QM. My major question is does anyone have any ideas on a fast maybe 3 week way that i can learn all of the things needed before calculus. Mainly just trig .I'm taking precalc now and then this summer I'm taking calc 1. I want to get ahead with some speed more so then the path of just taking classes, but also I want to have a very concrete knowledge of this subject. Now for the questions. How did you go about getting ahead like you have? Did I miss the boat? Is there a way I can get through trigh and logs in a relitively small amount of time, in say 5 months to get to DE topology or DG? And if so through personal study how would you suggest I get there? Does anyone know of a good linear algebra book that requires no fore knowledge of calc? I have Shilov I think thats it, but I want one that could be done with some more ease seeing as I have little understanding of determinants and I noticed they use some parts with integrals, and there is some function analysis that i do not comprehend. Also I am decent at math, by no means an genius but i love the subject and am willing to invest as much time as necessary. Thank you a ton.