Programs How much Physics does a math PHD program expect

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Completing a Math BS with a strong focus on advanced courses is commendable, but concerns arise regarding the lack of physics coursework. While some believe that not taking physics will not negatively impact applications to pure math graduate programs, others argue that a foundational understanding of physics, particularly classical mechanics, may be beneficial for applied math programs. The discussion highlights that prerequisites vary by institution, with some applied math programs not requiring physics courses. Ultimately, the consensus leans toward the idea that for pure math, limited physics experience is acceptable and will not hinder graduate school applications. However, taking physics could enhance understanding in certain mathematical contexts.
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I'm on track to finish a fairly strong Math BS in two years (including for example year long grad courses in Real/Complex/Algebra/PDE/DiffGeo/Dynamical Systems). The problem is that I will not have taken any physics beyond the basic freshmen introductory sequence. I will have a decent amount of applied math (numerical analysis/probability) but I feel like the lack of physics might hurt.

Do you feel like I should replace some math courses for Classical Mechanics/Quantum/Electromagnetism. The issue I have with doing this is that starting next year I will be taking mostly graduate math courses and I'm not sure its a good idea to replace graduate math courses with undergraduate physics courses (I doubt I could get in or handle graduate physics courses). I'm also doing well in my math classes and not sure i'll do as well in physics classes. Will I be at a disadvantage in Math grad school with such a limited physics background. If you went to a Math PHD program I'd appreciate advice on how much physics you think i need.
 
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I'm a grad student at a pure math program, I only took the physics intro class as an undergrad, and I don't think many other people in my program have taken more physics than that, if any at all. The only time in a math class I felt physics classes would have helped was solving certain problems in a differential equations class, but it appears you have no problem with diffy q. For a pure math program, not having taken much physics is definitely not a problem and will not downgrade your application. I would assume the same is pretty much true for applied math programs, but I am not qualified to say.
 
You should definitely take some physics courses if you want to see your field bastardized before your eyes :).

Naaa, jk, there's no need to take any physics courses as a math student.
 
JCVD said:
For a pure math program, not having taken much physics is definitely not a problem and will not downgrade your application. I would assume the same is pretty much true for applied math programs, but I am not qualified to say.

I don't see how this assumption can be true: how can you be accepted into an applied maths programme if you have not taken classical mechanics?
 
cristo said:
I don't see how this assumption can be true: how can you be accepted into an applied maths programme if you have not taken classical mechanics?

That's not a prerequisite for the Applied Math M.S. at my university. However, it is offered through the Department of Mathematics. I suspect there's a difference between it and what a Department of Applied Mathematics requires.
 
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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