Upper Level Math Courses: Is This Overkill?

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The discussion centers around whether taking multiple upper-level math courses alongside physics classes is manageable. Concerns focus on the difficulty of Partial Differential Equations (PDEs) and Vector & Tensor Analysis, particularly their relevance to Electromagnetism (E&M). Participants suggest that while upper-level courses may seem more challenging, having the necessary prerequisites and intellectual maturity can make them manageable. However, there is a cautionary note that students who excelled in earlier courses may struggle with the increased workload and complexity of advanced material. Ultimately, balancing coursework with a part-time job and research is a significant consideration for success.
Jawbreaker
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I know all your PF veterans may get sick of answering this question, but you have the experience I don't have yet so I'll ask anyways. Is this schedule overkill, or doable?

1. E&M I
2. Modern Physics
3. PDE's with Fourier analysis
4. Vector & Tensor Analysis
5. Planetary Geophysics

My main concern is about 3 & 4. I heard PDE's and Fourier series was important for E&M, hence me taking it concurrently. Vector and Tensor analysis is useful somewhere I know. General Relativity for sure. Would two upper level math courses be overkill? I know this is all subjective, but I don't want to get into too much than I can handle. I'll be also holding a part time job and possible research position. Thank you all for your imput. :biggrin:
 
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How much of the material did you cover through self-study?
 
Should be fine, it's somewhat of an illusion that upper year courses are more difficult than lower year courses. If you have the prerequisites then it shouldn't be a problem.
 
CaptainQuaser said:
Should be fine, it's somewhat of an illusion that upper year courses are more difficult than lower year courses. If you have the prerequisites then it shouldn't be a problem.
It isn't an illusion, there is more stuff per course the higher you get but you are expected to have matured intellectually so that you can learn faster and you are supposed to be more organized by the second/third year as well.
Many who have straight A's through the first parts starts to falter when they hit the harder courses.
 
Looks standard to me.

Klockan3 said:
Many who have straight A's through the first parts starts to falter when they hit the harder courses.

That's a big fear of mine.
 
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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