Physics vs Math: Deciding Grad School Path

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SUMMARY

The discussion centers on the decision-making process for applying to graduate schools in either mathematics or physics, particularly for an individual with a background in physics and applied mathematics. The participant expresses a preference for proof-based linear algebra and statistical mechanics while indicating a lack of interest in thermodynamics and lab courses. They contemplate the potential of pursuing mathematical physics, acknowledging their strong GPA in math courses (3.9) compared to physics (3.6), and express concerns about job opportunities and admissions competitiveness at institutions like MIT versus state universities.

PREREQUISITES
  • Understanding of proof-based mathematics, particularly linear algebra and real analysis.
  • Familiarity with core physics concepts, especially statistical mechanics and quantum mechanics.
  • Knowledge of graduate school admissions processes in STEM fields.
  • Awareness of the differences between pure and applied mathematics and their respective career paths.
NEXT STEPS
  • Research graduate programs in mathematical physics and their admission requirements.
  • Explore the curriculum and research opportunities in solid-state physics and astrophysics.
  • Investigate the implications of a double major in mathematics and philosophy on graduate school applications.
  • Review job market trends for graduates in applied mathematics versus physics.
USEFUL FOR

Undergraduate students in physics or applied mathematics considering graduate school, academic advisors, and individuals exploring career paths in mathematical physics or related fields.

creepypasta13
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So I'm about to apply to grad schools in either math or physics, as I did my undergrad in physics and applied math. I wanted to hear the inputs of people who had to decide between the two and what your decision was

As for me, my favorite classes were proof-based linear algebra and statistical mechanics (not the thermo part). My next favorites were quantum mechanics and real analysis. I didn't like thermo, proof-based Fourier analysis, and especially my lab courses. I didn't take the physics electives classes I'm really wanted to take, such as astrophysics, solid-state, optics, nuclear, or atomic. Thats because during the last couple semesters of undergrad, I had some outside distractions, some of which were personal and family related (and thus I felt very pressured to graduate asap, and thus do the bare minimum course requirements), and some were due to distractions in my social life. The latter was why I did really poorly in honors abstract algebra and ended up dropping the class. I took linear algebra and stat mech early on, which is why I did the best in those and really enjoyed them. Because I did well in linear algebra and real analysis, I thought I might have what it takes to be a pure mathematician

I also used to be really concerned with job opportunities, which is why I chose applied math instead of pure math. But after working a bit, I now realize the importance of choosing your passions. So at this point, I'm not really sure whether to apply to physics or applied math departments. I suppose I could do mathematical physics, but that's mostly done in pure math depts, right? I don't know if I should give pure math another try considering I dropped out of abstract algebra. I didn't drop out from any other course. And physics probably just seemed more bland than what I had thought because I didn't get to take the classes that looked the most interesting. E&M and mechanics aren't as interesting to me as the areas I listed above such as solid-state. They seemed really interesting from what I saw from my modern physics lower-div class and what I've read about them. I did 2 research projects related to materials and solid-state, so I'm pretty sure that I would like the course. But I can't stand the thought of having to take another lab course. Also, if it means anything, I had a 3.9 gpa in my math courses, and 3.6 in physics.

Again, I'd like to hear the opinions of those who were in a similar situation and what path you chose
 
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I would prefer to do math undergrad because I think the math would make me a stronger physicist. But I'm not sure how it would affect admissions. Really it rather get into a MIT with a physics undergrad than a state U with a math undergrad. Obviously were I attend grad school will have a greater correlation to my physics ability than if I did math or physics undergrad, so admissions is top priority to me. If I was to do a double major with philosophy too then I'm not sure. I would be able to take enough physics courses. But since I haven't even looked into anything resembling a schedule I really have no idea.
 

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