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as usual in September I am deciding which courses to take. I am in the second year of my study and so far I am following the more theoretical path, later maybe with focus on quantum mechanics and quantum information proccessing.

My question is:

which math courses should I take this year?

In the first year I had Calculus 1 and 2, Linear Algebra 1,2 and some kind of ODE for physicist, which was rather a cookbook-based-course than a serious mathematical course.

For sure I will take calculus 3 and 4.

For the other courses I'm considering these options:

Abstract Algebra

Differential Geometry

Differential Topology

ODE with theory (is it worth it?)

Functional analysis

The criteria are:

1. I should be able to understand the subject (with my current knowledge)

2. it should have some application in physics particullarly in qm or qip

Thank you for your help.

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# Math knowledge used in theoretical physics

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