How much Physics does a math PHD program expect

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SUMMARY

Math PhD programs do not require extensive physics coursework, as confirmed by multiple participants in the discussion. A strong foundation in mathematics, including courses like Real Analysis, Complex Analysis, and Differential Equations, is prioritized over physics knowledge. While some believe that taking physics courses could enhance understanding in applied contexts, it is not essential for admission into pure or applied math programs. The consensus is that applicants with limited physics backgrounds will not be disadvantaged in their applications.

PREREQUISITES
  • Understanding of graduate-level mathematics, including Real Analysis and Differential Equations.
  • Familiarity with the structure and requirements of Math PhD programs.
  • Basic knowledge of physics concepts, particularly Classical Mechanics and Quantum Mechanics.
  • Awareness of the differences between pure and applied mathematics programs.
NEXT STEPS
  • Research the specific admission requirements for Math PhD programs at various universities.
  • Explore the curriculum of applied mathematics programs to identify any physics prerequisites.
  • Investigate the role of physics in mathematical modeling and its applications in various fields.
  • Consider enrolling in introductory physics courses to enhance interdisciplinary understanding.
USEFUL FOR

Prospective Math PhD students, undergraduate mathematics majors considering graduate studies, and individuals interested in the intersection of mathematics and physics.

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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