Courses Math Methods for Physicists: Course Topics

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A year-long course in mathematical methods for physicists, with prerequisites in vector calculus, ordinary differential equations (ODEs), and linear algebra, could encompass a wide array of topics. Key areas of focus may include complex analysis, special functions, asymptotic methods, Sturm-Liouville theory, calculus of variations, and advanced techniques in linear algebra and vector calculus. Additional topics such as WKB analysis, integral transforms, and Green's function techniques are also relevant. The specific content of the course is often tailored to address the mathematical gaps identified in students' backgrounds by the instructor, highlighting the importance of adapting the syllabus to meet the needs of the students at each institution.
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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.
 

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