Are my math courses sufficient for Grad School?

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Discussion Overview

The discussion revolves around the sufficiency of mathematical coursework for graduate studies in physics, specifically in the areas of solid state physics and relativity. Participants evaluate the necessity of additional math courses such as Vector Analysis and Partial Differential Equations (PDEs) in relation to their physics education.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant expresses concern about not taking optional courses like Calc 4 and PDEs, suggesting a preference to focus on upper-level physics courses instead.
  • Another participant argues that not taking additional math courses may not be detrimental, as graduate programs often have their own math requirements, potentially leading to repetition of topics.
  • A different viewpoint emphasizes that four semesters of math may be insufficient unless the physics department compensates with strong coursework, suggesting that more math could provide valuable problem-solving tools.
  • One participant strongly advocates for taking PDEs, stating their importance for upper-level physics courses, and recommends a mathematical methods course that includes PDEs and Fourier analysis if PDEs are not taken.

Areas of Agreement / Disagreement

Participants express differing opinions on the necessity of additional math courses, with some advocating for their importance while others believe the current coursework may suffice. No consensus is reached on whether additional math is essential.

Contextual Notes

Participants reference varying levels of math coursework and the potential impact of their physics department's reputation on the adequacy of their math preparation. There are also differing views on the relevance of specific math topics to graduate studies.

Who May Find This Useful

Students considering graduate studies in physics, particularly those evaluating their mathematical preparation and course selections.

Lagraaaange
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I want to study either solid state or relativity. I have taken CalcI-III + odes. I find most of the math I remember is taught to me in physics classes, e.g. Linear algebra in Classical Mechanics, Vectors analysis in EM. Would it hurt me if I didn't take Calc 4 - Vector analysis or PDEs which are optional? I rather focus on my upper level courses in physics.
 
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I don't think it would hurt. Most graduate programs have their own math requirements, so you might end up repeating some of the topics anyway. Being strong in your core is going to be the most important consideration for graduate school. That said, I think that the more math you know, the more tools you have for attacking tough problems, so if you find yourself with some extra time, more math classes couldn't hurt.
 
Four semesters of math is a little light, unless your Physics Dept has an excellent reputation for picking up the slack in the Physics coursework.

I think I had 25 or so credit hours of math, in addition to Mathematical Methods in Physics, and oodles of math along with the physics courses.

Vector Analysis would be great for Relativity and a numerical analysis course would be great for solid state.
 
My opinion is that every physics major who's going to grad school should take PDE's. It's immensely helpful for upper level physics courses anyways. If not PDE's, then at least take a mathematical methods course for physics that covers solutions to PDE's and Fourier analysis.
 

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