Math Methods for Physicists: Course Topics

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What topics should a year-long course in mathematical methods for physicists for which the pre reqs are vector calculus, ode's and linear algebra cover?
 
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cesaruelas said:
What topics should a year-long course in mathematical methods for physicists for which the pre reqs are vector calculus, ode's and linear algebra cover?

There's a TON of topics the course could cover.

Complex analysis, special functions, asymptotic methods, sturm-liouville theory, calculus of variations, just more linear algebra and vector calculus, WKB analysis, integral transforms, green's function techniques, etc.
 
Jorriss said:
There's a TON of topics the course could cover.

Yep, and what a specific course covers depends a lot on which gaps in students' mathematical background the professor teaching the course thinks needs to be filled at that particular college/university.