I got a B.S. in liberal arts and sciences from UIUC, with a concentration in general mathematics. My GPA, for a variety of reasons, is mediocre (2.5, roughly equal for math and non-math classes), but I nonetheless have an eye for graduate school. So I decided to look at the syllabus for the Harvard qualifying examination. I realized that I don't know anything. Literally nothing. In fact, I think my knowledge is so bad that I might need to go through an undergraduate program for mathematics a second time. I want to go to graduate school because I would like to learn (1) Why forms on differentiable manifolds generalizes vector calculus in such a way so that the methods and tools of vector calculus aren't arbitrary. (2) How topological spaces can generalize much of real analysis without relying on an underlying metric. So what should I do with my life?