Maximizing Math for Theoretical Physics: Double-Major or Minor?

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For aspiring theoretical physicists, a strong foundation in advanced mathematics is crucial. Key upper-division math subjects recommended include Linear Algebra, Complex Analysis, Partial Differential Equations (PDEs), and Probability Theory, as these areas provide essential tools for understanding complex physical concepts. Additionally, courses in Algebra, Analysis, and Group Theory are highlighted for their relevance to theoretical frameworks in physics. Double majoring in mathematics or pursuing a minor is advised, as it enhances mathematical proficiency, which is vital for graduate-level studies in physics. Engaging with faculty in the physics department can provide tailored advice on course selection and how specific subjects will directly benefit a career in theoretical physics. Overall, a comprehensive mathematical background significantly supports the analytical skills needed in this field.
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Hey u guys. Say I'm an undergraduate wanting to be a physicist. Not just any physicist, but a theoretical physicist. Say that I'm already planning on taking all of the "Mathematical methods for Physics" courses offered at my university, but now I want more of some math action.

Which subjects of upper div math classes do you think are the most important for physicists to learn?



Also, as a second question: Would double-majoring in mathematics (or maybe just minoring in it) greatly help?
 
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1) Graduate Mathematical Methods in Physics in both departments if offered
2) Graduate Group Theory, offered in the physics department
3) Linear Algebra & Complex Analysis
4) PDE's
5) Algebra & Analysis
6) Probability Theory

There are more specific classes like differential geometry, functional analysis, etc, etc but this is, imo, the core (unless I forgot something).
 


Yes, if you want to do theoretical physics you should double major in math. Jorriss had some good suggestions for where those credits should go, but I would talk to some theory faculty in your department.
 


Hey, thanks for that list! May I ask how each subject will help my physics career? I've taken only the freshman/sophomore math and physics classes, and I would like to know how those subjects will benefit me. Thanks!
 
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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