Schools Are my math courses sufficient for Grad School?

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The discussion centers on the importance of mathematical coursework for students interested in pursuing graduate studies in solid state physics or relativity. Participants emphasize that while some optional math courses like Calc 4 (Vector Analysis) and PDEs are beneficial, they may not be strictly necessary if the student has a solid foundation from previous math and physics classes. The consensus is that graduate programs often have their own math requirements, which could lead to some repetition of topics. A strong core understanding of physics is deemed crucial for success in graduate school. However, additional math knowledge, particularly in areas like Vector Analysis and PDEs, can provide valuable tools for tackling complex problems in upper-level physics courses. Overall, while focusing on upper-level physics courses is important, enhancing math skills through additional classes is recommended when possible.
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I want to study either solid state or relativity. I have taken CalcI-III + odes. I find most of the math I remember is taught to me in physics classes, e.g. Linear algebra in Classical Mechanics, Vectors analysis in EM. Would it hurt me if I didn't take Calc 4 - Vector analysis or PDEs which are optional? I rather focus on my upper level courses in physics.
 
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I don't think it would hurt. Most graduate programs have their own math requirements, so you might end up repeating some of the topics anyway. Being strong in your core is going to be the most important consideration for graduate school. That said, I think that the more math you know, the more tools you have for attacking tough problems, so if you find yourself with some extra time, more math classes couldn't hurt.
 
Four semesters of math is a little light, unless your Physics Dept has an excellent reputation for picking up the slack in the Physics coursework.

I think I had 25 or so credit hours of math, in addition to Mathematical Methods in Physics, and oodles of math along with the physics courses.

Vector Analysis would be great for Relativity and a numerical analysis course would be great for solid state.
 
My opinion is that every physics major who's going to grad school should take PDE's. It's immensely helpful for upper level physics courses anyways. If not PDE's, then at least take a mathematical methods course for physics that covers solutions to PDE's and Fourier analysis.
 
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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