Which Graduate Course Should I Take Next Fall?

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The discussion centers on course selection for the upcoming fall semester, specifically regarding graduate-level courses in quantum mechanics (QM) and electromagnetism (E and M), alongside abstract algebra and general relativity (GR). The individual is considering taking graduate quantum to deepen their understanding, despite having completed undergraduate quantum. However, it is noted that graduate quantum may be redundant if the undergraduate course is comprehensive. The idea of taking graduate E and M before the undergraduate version is discouraged, as graduate E and M primarily focuses on mathematical methods and assumes foundational knowledge from undergraduate studies. Conversely, taking cosmology without prior GR is deemed acceptable, as the course typically requires minimal GR knowledge, which can be quickly learned. The importance of course descriptions and textbooks is highlighted for better decision-making.
Bishop556
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So, for next fall I was thinking of taking:

1) GR
2) E and M 1
3) Abstract Algebra 1
4) not sure

I was thinking of taking either graduate quantum or taking graduate E and M instead of the undergrad version and instead take a second math course. Now, I have taken undergrad quantum, but I was thinking that graduate quantum would help me understand quantum to greater detail. I was also thinking of taking Cosmology, but I think that is a bad idea as I have not taken GR.

What is your opinion?
 
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The answers to your questions depend very heavily on what the undergraduate EM and QM courses at your school are like. At my school if you take undergrad QM then grad QM is more or less redundant. Taking grad EM before undergrad EM is a rather terrible idea because grad EM is more or less just a math methods class and a light introduction to classical field theory. You are assumed to have learned the physics from undergrad EM at the level of Griffiths; said physics is extremely foundational and important.

On the other hand taking cosmology before GR is perfectly fine. There is very little GR in cosmology; whatever is there you can easily learn in a matter of days.
 
It might be a good idea to give the course descriptions of the courses you're planning to take. And perhaps the books they'll use.
 
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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