I know the importance of Topology, but I need to know if not taking this course in my last year will make a big difference. I will be a senior math major and I may decide to go to graduate school. I will take a year off to try to find some work experience to decide exactly what I want to do. Chances are good that even if I end up going for a PhD, I will still end up looking for a position in industry. I am taking two graduate courses, Modern Analysis and Algebra, and am looking at one more math elective. I can take a class on General Topology or Fourier Analysis (both are at the same time). I have absolutely no experience with applied math, besides the standard diff eq course, so I feel like the Fourier Analysis class could be useful. However, Topology is such an integral subject that I feel that if I don't take it, it will look espescially bad when applying to grad schools. My math coursework is not very remarkable, considering I was never very serious about anything until now: Linear Algebra, Abstract Algebra Adv. Calculus 1,2 Combinatorics, Geometry Complex Variables I would prefer to take the Fourier Analysis class. It's material I've never seen before and sounds interesting. I have learned basic Topology in my Adv. Calculus class and would be willing to teach myself for the GREs, etc. If I don't take Topology, will this be a huge hole in my transcript, even if I plan on taking an Applied Math route in graduate school?