How much Physics does a math PHD program expect

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Discussion Overview

The discussion revolves around the expectations of physics knowledge for students applying to mathematics PhD programs, particularly in the context of a strong mathematics background but limited physics coursework. Participants explore the relevance of physics courses in both pure and applied mathematics programs.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant expresses concern about lacking physics courses and questions whether this will disadvantage them in math graduate school applications.
  • Another participant, currently in a pure math program, shares their experience of only taking introductory physics and suggests that this is common among peers, indicating that it does not negatively impact applications.
  • A humorous remark is made about the necessity of physics courses, suggesting that they are not essential for math students.
  • Some participants assert that not having taken much physics will not downgrade an application to a pure math program, while also speculating that the same might hold for applied math programs.
  • There is a challenge to the assumption that physics courses are necessary for acceptance into applied math programs, with one participant noting that classical mechanics is not a prerequisite at their university.
  • Another participant questions the validity of the assumption that physics is required for applied math programs, highlighting potential differences between departments.

Areas of Agreement / Disagreement

Participants generally agree that a lack of physics coursework is not detrimental for pure math programs. However, there is disagreement regarding the necessity of physics for applied math programs, with some asserting it is not required while others question this assumption.

Contextual Notes

Participants express varying levels of confidence regarding the requirements for applied math programs, indicating that specific prerequisites may differ by institution and department.

deluks917
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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.
 

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