Recommended Math Courses for grad school

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Discussion Overview

The discussion revolves around the mathematical coursework and knowledge expected of students entering graduate school in physics. Participants explore what additional mathematics beyond the standard curriculum (Calculus, vector calculus, linear algebra, and Differential Equations) may enhance an applicant's profile and what is typically required for success in graduate studies.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants suggest that in addition to standard courses, graduate schools may value knowledge in Partial Differential Equations (PDE), complex analysis, and real analysis.
  • One participant mentions that differential geometry and topology were only necessary for specific courses, such as general relativity, implying they may not be essential for all physics graduate paths.
  • Another participant emphasizes that the relevance of mathematical courses may depend significantly on the specific field of physics the student intends to pursue.
  • A participant expresses uncertainty about their future specialization but indicates an interest in experimental particle and atomic physics.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the necessity of certain advanced mathematics courses, as opinions vary based on individual experiences and intended fields of study.

Contextual Notes

Some participants highlight that the importance of specific mathematical knowledge may vary depending on the focus area within physics, suggesting that there are multiple pathways and expectations based on different subfields.

gccphys
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Hi
I am in my third year undergrad, and am planning to study physics in graduate school.

I was wondering if anyone knows what sort of math graduate schools expect and or want incoming students to have? Mostly, I mean besides Calculus, vector calculus, linear algebra, and Differential Equations. I consider those to be fairly standard. But what sets you apart as an applicant, in terms of math?

Furthermore, what is expected of students in terms of mathematical coursework? What are students expected to know coming in?

Thanks.
 
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gccphys said:
Hi
I am in my third year undergrad, and am planning to study physics in graduate school.

I was wondering if anyone knows what sort of math graduate schools expect and or want incoming students to have? Mostly, I mean besides Calculus, vector calculus, linear algebra, and Differential Equations. I consider those to be fairly standard. But what sets you apart as an applicant, in terms of math?

Furthermore, what is expected of students in terms of mathematical coursework? What are students expected to know coming in?

Thanks.

I don't know if they "expect it", but besides the standard most physicists will do terminal/introductory courses in PDE, and complex and real analysis. Some will go even go as far as differnetial geometry and topoglogy.

I don't know what students are expected to know, but from the grad books I read, you should definitely consider doing some of the courses I listed, especially PDE and complex analysis.
 
I only had the courses you listed. The PDEs and real/complex analysis were covered in my mathematical physics courses (which were in the physics dept). The only time I used differential geometry and topology were in my general relativity course - if you're not planning to take that, then you probably don't need them (as far as I know).
 
This depends a lot on the fields you want to go into. Care to give us more details?
 
tmc said:
This depends a lot on the fields you want to go into. Care to give us more details?
Well I'm not entirely sure what I want to go into. At the moment I'm interested in experimental particle and atomic physics.
 

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