What extra math classes to take?

  • Thread starter Thread starter dolerka
  • Start date Start date
  • Tags Tags
    Classes
AI Thread Summary
For a physics student pursuing a BS, the discussion highlights the importance of selecting math courses that complement physics studies. A boundary-value and partial differential equations (PDE) class is recommended for its practical applications in solving various physics problems, particularly in areas like heat transfer and electromagnetic theory. Additionally, complex analysis is suggested as beneficial for understanding concepts in electromagnetism and quantum mechanics, especially when dealing with wave functions expressed in complex form. While introductory proofs and advanced math classes like abstract algebra or advanced linear algebra are part of the curriculum, the focus should be on applied courses that enhance understanding of physical concepts. The choice of classes should align with the student's interests and the practical applications in their physics coursework.
dolerka
Messages
8
Reaction score
0
I am currently getting a physics BS. was going to double major in math but am going down to just a minor due to the huge work load the latter would be. the class i can't get rid of is an introductory proofs class. and i then have a choice between advanced calc (calc proofs), abstract algebra, or advanced linear algebra. i then can take pretty much any other upper level math class. i plan on taking numerical analysis 1 and 2. i also don't know if i should take a probability and stats class.

So, what classes would be most helpful to a physics student?
 
Physics news on Phys.org
I'd recommend a boundary-values / PDE class and perhaps complex analysis. These can be (depending of course on how they are taught...) among the more applied... aka. less "proofy" courses. Personally I found a lot of the "proofy" classes less useful (when I minored in math long ago with the physics degree)... but it all depends on the topics you are interested in...

Boundary values helps with all types of physics problems... I can't emphasize how much this helped me. (I took it right after diff eq., and was taking the intermediate EM sequence, quantum sequence, etc. at the same time... very complementary). The course i took was quite applied... wit heat transfer, etc. covered.

Complex might help with EM (AC and waves) and quantum... since it's often easier to write a wave as a complex e^(i*theta)... but you're of course usually interested in the real parts for the physics of these matters... so knowing how to map the complex functions onto real and imaginary space matters (but the course can get "proofy").
 
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...
Back
Top