So I'm having a tough time deciding between courses next semester. I'm a rising 3rd year undergrad math major whose goal is to get a solid understanding of theoretical physics through advanced math (laugh all you want). So in that view, which one should I choose from
Theoretical Mechanics: This is a graduate level class covering Lagrangian and Hamiltonian Mechanics. I've already had classical mechanics at the undergrad level, but we didn't do Hamiltonians, and at that level a lot of the conceptual details weren't highlighted. I want to do this class because L and H mechanics seem really fundamental to anything you do in theoretical physics and thus a good understanding of them seems essential.
Electricity & Magnetism II: This is an undergrad class which will probably be based on the second half of Griffiths. I know that this material is pretty important (E&M Waves and Relativistic E&M) and I'll have to learn it eventually, but to be perfectly honest, I think I have had enough classes based on Griffiths for a lifetime (2 semesters of Quantum along with E&M I).
As a second question, another choice has been bothering me. In the same view which one class should I choose from:
- Statistical Mechanics. Standard first semester undergrad Stat Mech class using Kittel & Kromer.
- Graduate-level Algebra. I've already had an undergrad algebra class but this may be useful if I decide to go to grad school for math.
- Mathematical Methods. A graduate level class covering calculus of variations, greens functions and PDEs, real waves and group theory.