Programs Precisely What Is It That I should Be Majoring In?

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The discussion centers on the passion for both mathematics and physics, with a strong inclination towards pursuing a dual major or a focus on mathematical physics. The desire to explore both fields is emphasized, highlighting the dissatisfaction that could arise from choosing only one. The feasibility of obtaining a master's or Ph.D. in these areas is questioned, alongside the varying availability and structure of mathematical physics programs at different institutions. There are contrasting views on self-study versus formal education, with arguments supporting the benefits of structured programs. These include the logical progression of topics and the invaluable insights gained from experienced professors, which are often not found in textbooks. While the workload for a double major is acknowledged as intense, it is suggested that a solid foundation in mathematics is essential for a physics major. Overall, the conversation underscores the importance of motivation and the potential benefits of formal education in navigating these complex subjects.
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Well, I'll first start off by expressing that I unequivocally love mathematics and physics. I know I could not choose between just one--that is, if somehow circumstances would make me choose between the two. If I were to major just in physics, I would have unsatisfied feelings knowing there was a lot of math courses I would miss out on; and the converse is true of me just majoring in mathematics. What about a dual major? Yes! what about it? How long would it take for me to get a masters or a Ph.D? And what about mathematical physics? How much math and physics courses would I be looking at if I were to pursue it? Such a hindrance is school that sometimes I feel like leaving and studying the two subjects myself; after all, I would get much more done and in a quicker time.
 
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Some schools have a Mathematical Physics major and some don't. If two schools both have Mathematical Physics, the details of the program will most likely differ. Definitely look into different colleges that you're interested into see their program. You should be able to get an idea of what you're looking for.

The answers to your questions themselves would likely take pages to answer while looking up different programs would do the same job with much less effort.
 
Major in both, it's doable with motivation.

Such a hindrance is school that sometimes I feel like leaving and studying the two subjects myself; after all, I would get much more done and in a quicker time.
I disagree, for multiple reasons. To state two: 1) a program offers direction; when studying on your own you can easily get paralysed by all the possible options and you would likely go into too much depth too soon, whereas a school has a program that goes layer by layer (for good reason; maturity takes time) and also orders all the subjects logically and you don't have to spend time thinking out what to do first
2) You can learn an immense lot from simply hearing somebody proficient at it explaining it. A lot of subtleties are not put into books yet are so easily said as side-remarks by a professor teaching it. And it's hard to ask a book questions (well, getting an answer is the hard part)

Sure, you might have a lot of complaints about the specific details (some professors can't explain well, certain books could be better, no interesting extracurricular lectures organised or whatever), but all in all, the dictum is: schools are a really good place to learn things (at least to lay a basis, and for physics a basis extends at least to the master's levels)
 
I've known a couple math/phys double majors. It appears to a lot of work--one of my friends who's doing that pretty much never sleeps--but it's my understanding that you need a fair amount of math coursework to be a physics major anyway.
 
I’ve been looking through the curricula of several European theoretical/mathematical physics MSc programs (ETH, Oxford, Cambridge, LMU, ENS Paris, etc), and I’m struck by how little emphasis they place on advanced fundamental courses. Nearly everything seems to be research-adjacent: string theory, quantum field theory, quantum optics, cosmology, soft matter physics, black hole radiation, etc. What I don’t see are the kinds of “second-pass fundamentals” I was hoping for, things like...
TL;DR Summary: I want to do a PhD in applied math but I hate group theory, is this a big problem? Hello, I am a second-year math and physics double major with a minor in data science. I just finished group theory (today actually), and it was my least favorite class in all of university so far. It doesn't interest me, and I am also very bad at it compared to other math courses I have done. The other courses I have done are calculus I-III, ODEs, Linear Algebra, and Prob/Stats. Is it a...

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