In Linear Algebra class we're covering Vector Spaces and it's the most fascinating thing that I've ever seen in mathematics class. I'll be majoring in Actuarial Science and I was hoping to take something abstract, what could I take? I would like to understand how to write proofs, and above all, see something that isn't calculus. I'm not at the university yet and the highest math offered is the one I'm taking at the moment. I'll be transferring after the summer.
I was hoping to take two classes that don't have to directly contribute to my major. I would consider them as a fun classes that I would do serious work.