Selecting Courses for Physics Major - Help and Advice

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Discussion Overview

The discussion revolves around selecting appropriate mathematics courses for a sophomore physics major who is considering a PhD in a theoretical subfield. Participants provide advice on which additional math courses to take alongside Quantum Mechanics I and proof-based Linear Algebra, with a focus on options like Ordinary Differential Equations (ODE), Partial Differential Equations (PDE), and others.

Discussion Character

  • Exploratory, Homework-related, Debate/contested

Main Points Raised

  • One participant suggests taking both differential equations and complex analysis, citing their importance for those pursuing Mathematical Physics.
  • Another participant strongly recommends taking both ODE and PDE courses, indicating significant benefits from these subjects.
  • The original poster questions the feasibility of taking ODEs and PDEs concurrently, given their prior knowledge of ODEs.
  • A later reply notes that the possibility of taking ODEs and PDEs at the same time depends on the specific courses and advises consulting the instructor of the PDE course for guidance.

Areas of Agreement / Disagreement

Participants generally agree on the importance of ODE and PDE courses, but there is no consensus on the advisability of taking them simultaneously, as it appears to depend on course specifics.

Contextual Notes

Participants express varying opinions on course selection without resolving the complexities involved in taking multiple advanced mathematics courses at once.

the_kid
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Hey all,

I'm looking for some help in selecting courses for the spring. I'm a sophomore physics major, hoping to pursue a PhD after graduation. Although I'm not sure what subfield I'll want to be in, odds are it'll be something theoretical. So far I've taken Intro Physics I and II, Calc I-III, and Advanced Classical Mechanics. I've self-studied and picked up differential equations and linear algebra enough to be effective in my courses. For the spring, I'm definitely taking Quantum Mechanics I and proof-based Linear Algebra. I'm wondering what other math I should consider taking. My options include are Intro to Analysis, Ordinary Differential Equations, Partial Differential Equations, and Algebraic Topology. What would you guys recommend? I know this is a somewhat subjective question, but I'm just looking for some opinions.

Thanks!
 
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I would definitely suggest both differential equations and complex analysis. At my university if one is pursuing Mathematical Physics they are obligated to take such courses, among numerous others.
 
Definitely take the ODE and PDE courses. You will benifit so much from these courses!
 
Thanks for the advice, guys. Micromass, do you see anything wrong with taking ODEs and PDEs at the same time, considering I already have some knowledge of ODEs?
 
the_kid said:
Thanks for the advice, guys. Micromass, do you see anything wrong with taking ODEs and PDEs at the same time, considering I already have some knowledge of ODEs?

It depends from the specific course. Sometimes you can take it the same time, sometimes not. I would ask the instructor of the PDE course what he thinks.
 

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