I would like to be a physicist and hopefully one day get involved in particle physics or theories of quantum gravity, but I am not a savant and couldn't solve different equations by the time I was four years old. I have only taken up to pre-calculus math classes. I was supposed to graduate at age 15 but I didn't skip any grades (for social reasons) and now I will be attending a college at 18 (in a little bit over a year.) I have top grades and test scores, and I would like to attend a liberal arts college. This summer, I have very little to do. I would like to get involved in some serious mathematics; I would like to teach myself calculus and some ODE differential equations. If I plan to be a physicist, what Math should I know by the time I graduate? Frankly, I believe I can teach myself anything.