What extra math classes to take?

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SUMMARY

This discussion focuses on the optimal math classes for physics students, particularly those pursuing a Bachelor of Science in Physics. Key recommendations include taking a Boundary Values/PDE class and Complex Analysis, as these courses provide practical applications relevant to electromagnetic theory and quantum mechanics. The importance of an introductory proofs class is acknowledged, but participants suggest that more applied courses may be more beneficial for physics applications. Numerical Analysis 1 and 2 are also noted as valuable additions to the curriculum.

PREREQUISITES
  • Understanding of introductory proof techniques in mathematics
  • Familiarity with differential equations
  • Basic knowledge of electromagnetic theory
  • Concepts of quantum mechanics
NEXT STEPS
  • Research the curriculum and applications of Boundary Value Problems and Partial Differential Equations (PDE)
  • Explore the principles and applications of Complex Analysis in physics
  • Investigate the content and relevance of Numerical Analysis courses
  • Learn about the integration of probability and statistics in physics
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Physics students, mathematics minors, and educators seeking to enhance their understanding of the intersection between mathematics and physics applications.

dolerka
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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?
 
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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").
 

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