What are some good physics courses for math majors?

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Chris11
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Hey, I'm a math major, and I want to take some physics courses. What are some physical topics that have a lot of really interesting math, be it PDEs, analysis, eccetera?
 
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I'm required by my university to take Physics I & II, but I've also taken a class on introductory astrophysics/cosmology. It was very interesting, though not only because of the math. Years ago I took a class called Applied Physics which was pretty good. It covered the mathematics of things in the natural world (trajectories, collisions etc..) and held my attention quite well.
 
Analytical Mechanics.

Or in other words the classical mechanics after Newton's formalism, i.e Euler,Jacobi,Hamilton's and co formalism.

Other keywords, lagrangian mechanics and hamiltonian mechanics.