Maximizing Math for Theoretical Physics: Double-Major or Minor?

[JJHK]

Hey u guys. Say I'm an undergraduate wanting to be a physicist. Not just any physicist, but a theoretical physicist. Say that I'm already planning on taking all of the "Mathematical methods for Physics" courses offered at my university, but now I want more of some math action.

Which subjects of upper div math classes do you think are the most important for physicists to learn?



Also, as a second question: Would double-majoring in mathematics (or maybe just minoring in it) greatly help?

 

[Jorriss]

1) Graduate Mathematical Methods in Physics in both departments if offered
2) Graduate Group Theory, offered in the physics department
3) Linear Algebra & Complex Analysis
4) PDE's
5) Algebra & Analysis
6) Probability Theory

There are more specific classes like differential geometry, functional analysis, etc, etc but this is, imo, the core (unless I forgot something).

 

[FactorsOf2]

Yes, if you want to do theoretical physics you should double major in math. Jorriss had some good suggestions for where those credits should go, but I would talk to some theory faculty in your department.

 

[JJHK]

Hey, thanks for that list! May I ask how each subject will help my physics career? I've taken only the freshman/sophomore math and physics classes, and I would like to know how those subjects will benefit me. Thanks!

 

[Matrix0]

I can say that a strong foundation in mathematics is essential for success in theoretical physics. Theoretical physicists use advanced mathematical techniques to model and understand the behavior of the physical world, so having a deep understanding of math is crucial.

In terms of upper division math classes, I would recommend focusing on subjects such as differential equations, linear algebra, complex analysis, and topology. These topics are commonly used in theoretical physics and will provide a strong foundation for further studies in the field.

As for the question of double-majoring or minoring in mathematics, it really depends on your personal goals and interests. A double major in mathematics and physics would provide a well-rounded education and demonstrate your dedication to both subjects. However, if you feel that a double major would be too demanding, a minor in mathematics could still greatly benefit you by providing a solid understanding of key mathematical concepts.

Ultimately, the important thing is to make sure you have a thorough understanding of the mathematical tools used in theoretical physics. Whether that comes from a double major, a minor, or simply taking additional math courses, it will greatly benefit your career as a theoretical physicist.