Programs What are the best math classes for physics majors?

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For physics majors pursuing a math minor, recommended upper division math classes include vector field theory, partial differential equations (PDEs), numerical analysis, differential geometry, and linear algebra. These subjects are particularly relevant for applications in physics, such as Stokes' theorem in vector calculus, and the mathematical foundations of quantum mechanics and general relativity. Complex analysis is highlighted as a valuable course, especially for those interested in advanced topics like conformal mapping in electrostatics and integration in the complex plane. It is suggested that students already cover calculus and ordinary differential equations as part of their physics curriculum, allowing them to focus on linear algebra, complex variables, and either numerical methods or group theory, depending on their interests in programming or theoretical physics. Overall, these courses enhance the mathematical toolkit essential for advanced studies in physics.
Romperstomper
I'm majoring in physics and getting a math minor. I have to take 3 upper division math classes to get the minor. I'm wondering which math classes I should look at taking that would be good for physics majors.

Thanks.
 
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I would think classes in vector field theory(think Stoke's theorem), partial differential equations, and numerical analysis/numerical methods would rank high under "applicability to physics" in general.

Alternatively, differential geometry may be appropriate as well (in the context of general relativity) and also upper-level linear algebra (in the context of quantum mechanics)
 
complex analysis if you don't cover it in a physics class. Otherwise, the best is probably differential equations (both ODE and PDE)
 
if you haven't taken linear algebra, take that. preferably a proof-based one.

can't go wrong with complex variables and more differential equations, either.
 
I would take linear algebra, ordinary DEs, and partial DEs.
 
PDEs, Dynamical Systems, Numericals
 
I assume you already have to take calculus (including multivariable) and ordinary differential equations as part of your physics major requirements. In that case I would pick linear algebra, complex variables, and either numerical methods (if you're into programming), partial differential equations, or group theory (if you're inclined towards theoretical physics).

When I started grad school, I soon found out that I really wished I had been able to take a complex variables course as an undergraduate. My small college didn't offer one. But my first semester included an E&M course taught by an instructor who was really into conformal mapping for solving electrostatics problems. And in other courses I encountered integration in the complex plane. I ended up taking complex variables as one of my two required "cognate courses" (courses outside the physics department).
 
jtbell said:
I assume you already have to take calculus (including multivariable) and ordinary differential equations as part of your physics major requirements. In that case I would pick linear algebra, complex variables, and either numerical methods (if you're into programming), partial differential equations, or group theory (if you're inclined towards theoretical physics).

When I started grad school, I soon found out that I really wished I had been able to take a complex variables course as an undergraduate. My small college didn't offer one. But my first semester included an E&M course taught by an instructor who was really into conformal mapping for solving electrostatics problems. And in other courses I encountered integration in the complex plane. I ended up taking complex variables as one of my two required "cognate courses" (courses outside the physics department).


i can honestly say that complex variables was my favorite math class I've ever taken.
 
differential geometry, if your so inclined to get into general relativity
 

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