<p>I am not sure what kind of mathematics I want to study. I am leaning towards theoretical as of now, but I think it is too early to tell. I like all math, but I have always enjoyed the more “visual” topics the most. For example, I enjoyed vector calculus more than differential equations and I liked geometry more than algebra. To me this sounds like I would be more interested in theoretical math, but I am not familiar with the differences. I enjoy proofs. When I took the courses, differential equations seemed more “applied” than vector calc (although I remember some electricity and magnetism applications).</p>
<p>In short, I am not familiar with any mathematics beyond the lower-division courses (through linear algebra with an introduction to proofs) I have taken. I don’t know what I will specialize in later, but my hunch is theoretical math. I want to go to a school that offers both, however.</p>