How much math do you need for graduate study in physics?

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Discussion Overview

The discussion revolves around the mathematical prerequisites for graduate study in physics, including the adequacy of specific math courses and the necessity of advanced topics. Participants explore the relationship between math education and success in physics graduate programs, touching on both required and recommended courses.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants list a series of math courses they believe are necessary for graduate study, including calculus, differential equations, and linear algebra.
  • Others reflect on their own experiences, noting that they had fewer math courses and managed to succeed in graduate school, suggesting that some courses may be covered in specialized classes like 'math for physicists'.
  • There is a concern about the need for advanced math classes such as algebraic topology and homology theory to be competitive at top schools, with some participants questioning how to fit these into their schedules.
  • One participant mentions the importance of courses like contour integration and Fourier integrals, suggesting that a "math methods for physical sciences" course could be beneficial.
  • Some participants express uncertainty about the necessity of chemistry knowledge for physics graduate programs, with suggestions to refer to university requirements for guidance.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the exact math requirements for graduate study in physics. There are multiple competing views regarding the sufficiency of various math courses and the necessity of advanced topics.

Contextual Notes

Discussions include varying assumptions about the prerequisites for advanced math courses and the potential need for self-study. The conversation also highlights the differences in university requirements for physics majors.

Who May Find This Useful

Students considering graduate studies in physics, academic advisors, and those interested in the intersection of mathematics and physics education.

inknit
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Are these math classes enough?

Calc II
Calc III
Ordinary Differential Equations
Linear Algebra
Basic Real Analysis
Survey of Algebra
Advanced Calculus
Partial Differential Equations
 
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That's more than I had when starting physics grad school, although the actual math classes I was missing (calc III, advanced calc, real algebra) were covered at least in part by two semesters of 'math for physicists'.
 
eri said:
That's more than I had when starting physics grad school, although the actual math classes I was missing (calc III, advanced calc, real algebra) were covered at least in part by two semesters of 'math for physicists'.
You can get a major in physics without calc III?
 
I wish I can take more math, but I don't have enough room.

I've heard you need really advanced math classes like algebraic topology, and homology theory to be competitive at top schools. Is this true?
 
I managed to get through a couple of postdocs in experimental physics by knowing SOH,CAH,TOE
 
inknit said:
I wish I can take more math, but I don't have enough room.

I've heard you need really advanced math classes like algebraic topology, and homology theory to be competitive at top schools. Is this true?

I don't know where anyone would fit those courses in, and they also have prerequisites of their own. Usually you'd have to pick those up by self-study if your research requires it.
 
inknit said:
Are these math classes enough?

Calc II
Calc III
Ordinary Differential Equations
Linear Algebra
Basic Real Analysis
Survey of Algebra
Advanced Calculus
Partial Differential Equations

Is a "math methods for physical sciences" course available? You'll want to pick up things like contour integration and Fourier integrals somewhere. If time is limited, you could skip the algebra course without much loss. Real analysis is useful for developing "mathematical maturity", but is not essential.
 
Doesn't PDE cover the topics you mentioned?
 
Btw, how much chemistry should you know? I'm not completely illiterate on chemistry subjects, but I haven't taken a single chemistry in course in college.
 
  • #10
"Physics is the only real science. The rest are just stamp collecting."
-- Ernest Rutherford

knowledge of chemistry isn't required for a lot of physics - and the bits where it is you normally need a deeper knowledge than you would get in chem101
 
  • #11
inknit said:
Btw, how much chemistry should you know? I'm not completely illiterate on chemistry subjects, but I haven't taken a single chemistry in course in college.

The best proxy for this type of thing is just see what your university requires/recommends for its physics students. Chances are, these requirements are fairly uniform across the board, so there cannot be too much difference between one university to another. After all, the physics major exists primarily to prepare students for PhD programs, so I should think they know best what mathematics courses (or chemistry, biology, computer programming, or whatever else) are needed to succeed. Just look at your course website and stop worrying.
 

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