Courses Selecting Courses for Physics Major - Help and Advice

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A sophomore physics major is seeking advice on course selection for the spring semester, aiming to pursue a PhD with a focus on theoretical physics. The student has completed introductory physics, calculus, and advanced classical mechanics, and plans to take Quantum Mechanics I and proof-based Linear Algebra. They are considering additional math courses, including Intro to Analysis, Ordinary Differential Equations (ODE), Partial Differential Equations (PDE), and Algebraic Topology. Recommendations from the discussion emphasize the importance of taking ODE and PDE, particularly for those interested in Mathematical Physics. There is a query about the feasibility of taking ODE and PDE simultaneously, with advice suggesting that it depends on the specific courses and recommending consultation with the PDE instructor for guidance.
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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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