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I am in my third year undergrad, and am planning to study physics in graduate school.

I was wondering if anyone knows what sort of math graduate schools expect and or want incoming students to have? Mostly, I mean besides Calculus, vector calculus, linear algebra, and Differential Equations. I consider those to be fairly standard. But what sets you apart as an applicant, in terms of math?

Furthermore, what is expected of students in terms of mathematical coursework? What are students expected to know coming in?

Thanks.