Physics vs Math: Deciding Grad School Path

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In summary, the speaker is considering applying to graduate schools in either math or physics, but is unsure which path to choose. They enjoyed proof-based linear algebra and statistical mechanics, but did not like thermo or their lab courses. Outside distractions played a role in their lower grades in some courses. They used to prioritize job opportunities, but now prioritize their passions. They are unsure if they should give pure math another try after dropping out of abstract algebra. They also wonder if a math undergraduate degree would make them a stronger physicist and if admissions would be affected.
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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.
 

FAQ: Physics vs Math: Deciding Grad School Path

What is the main difference between studying physics and math in grad school?

The main difference between studying physics and math in grad school is the focus of the coursework. In physics, the emphasis is on understanding and applying the fundamental laws and principles that govern the natural world. In math, the focus is on developing and proving abstract theories and concepts.

Which field offers better career prospects, physics or math?

Both physics and math offer excellent career prospects, but they tend to lead to different types of careers. Physics graduates often go on to work in research and development, engineering, or data analysis. Math graduates often pursue careers in finance, data science, or academia. Ultimately, the better career prospects will depend on your personal interests and strengths.

Can I apply to grad school for both physics and math?

Yes, it is possible to apply to grad school for both physics and math. However, keep in mind that the application process can be time-consuming and competitive, so it may be more beneficial to focus on one field and make your application as strong as possible.

Is a background in physics necessary to study math in grad school?

No, a strong background in physics is not necessary to study math in grad school. While some knowledge of physics may be helpful in certain areas of math, it is not a requirement. As long as you have a strong foundation in math and a passion for the subject, you can succeed in a math grad program.

Which field has a higher level of difficulty, physics or math?

This is subjective and may depend on individual strengths and interests. Both physics and math require a high level of critical thinking and problem-solving skills. However, physics may involve more hands-on experimentation and application of concepts, while math may involve more abstract thinking and proofs. It is important to choose a field that you find challenging and enjoyable.

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