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a.k.a Functional Analysis With Applications to Mathematical Physics
Functional Analysis (FUN henceforth) is like Topology (MATH 324 346 –see above for description) on steroids. This is to say that if you have taken Topology, FUN is relatively manageable, since you build on the knowledge obtained. If you have not taken Topology before taking FUN, let’s just say that you are in for an interesting experience.
Of course, a question emerges: if Topology and FUN are so hard, why bother taking them? Well, I guess that one needs to have a certain masochistic streak in himself/herself to take these classes; that, and it really counts a lot for Math/Econ/Physics grad schools.