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## Main Question or Discussion Point

I'm trying to decide which math course to take for next term. The one's I think could possibly be useful are:

I probably can only fit in one course and right now I feel Real analysis looks the most fun and useful for me but I'm not sure. What I'm mostly interested to work in is mathematical physics or possible some other branch of physics with a lot of math in it so I thinking getting a good foundation in real analysis may actually be usefull for me and at the very least it looks fun. Which course would be most usefull for me?

The math I studied so far:

Calculus

Linear algebra

Numerical analysis

Statistics (rather basic course, mostly focused on applications)

Complex variables (self studied)

Mathematical methods for physicists (covers Vector calculus and an introduction to things like tensor calculus, green functions and applications to physics)

Fourier analysis

**PDE:**Seem to focus on numerical methods. Existance, uniqueness, stability, Galerkin methods, Variation formulation, FEM are a few words from the course description. While studying PDE further seems like a good idea I don't enjoy numerical methods to much. There's also a lot of computer labs and hand ins that I probably don't have time for taking this course parallell to my physics courses.**Real analysis:**follows rudin. Looks like a lot of fun for me and I suspect I need it if i want to go on studying functional analysis which I think have uses in QM.**Modern algebra:**Deals with group & ring theory which I heard is useful i physics. However I feel that perhaps the contents of the course is more directed towards math students and that I probably be better of studying group theory from a physics POV.I probably can only fit in one course and right now I feel Real analysis looks the most fun and useful for me but I'm not sure. What I'm mostly interested to work in is mathematical physics or possible some other branch of physics with a lot of math in it so I thinking getting a good foundation in real analysis may actually be usefull for me and at the very least it looks fun. Which course would be most usefull for me?

The math I studied so far:

Calculus

Linear algebra

Numerical analysis

Statistics (rather basic course, mostly focused on applications)

Complex variables (self studied)

Mathematical methods for physicists (covers Vector calculus and an introduction to things like tensor calculus, green functions and applications to physics)

Fourier analysis