Programs Best math prep for physics majors

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For physics majors, taking a dedicated class on mathematical methods in physics is recommended over multiple upper division math courses like complex analysis and partial differential equations. This approach helps students grasp the specific language and concepts used in physics, which differ from pure mathematics. Understanding the "dialect" of physicists is crucial for effective communication and comprehension in the field. While advanced math courses can be beneficial, starting with mathematical methods in physics lays a solid foundation before delving into more complex mathematical topics. Differential equations are particularly useful when approached from a mathematical perspective, but the priority should be on mastering the physics-specific terminology and methods first.
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Would it be a better idea for a physics major to take one class that specifically covers mathematical methods in physics, or several classes of pertinent upper division math courses (for example, complex analysis and partial differential equations)?
 
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I would definitely start with the first (mathematical methods in physics) and then see where it carries you. The content might be similar (not equal due to a different amount of time spent), but the language is different. As a mathematician I find it extremely hard to read or even speak the dialect of physicists. This ranges from moaning about the flood of indices to right away wrong phrases. So I recommend to learn the dialect first and then consider deepening stuff by a specifically mathematics class. Differential equations will definitely be helpful if treated the mathematical way. But as a physics major, your own slang should come first.
 
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Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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