Hi all. I graduated from the University of Oregon in June 2012 with a degree in math and a minor in physics. While I have no plans to continue my formal mathematics education, I would like to go to grad school for physics, which I assume entails learning and using new mathematics. I do love math, but I simply prefer the grounded nature of physics.
I was lucky enough to get to study various topics in college, though as a result I didn't study them as in-depth as I would have liked. In particular, in senior year I took classes for real analysis (intro level), differential equations (applied emphasis) and differential geometry. As far as physics, I've taken classes that cover classical mechanics, thermodynamics, electromagnetism, a small amount of special relativity, and I am currently working through Griffith's quantum mechanics book. I also did a short project investigating the chaotic nature of a double pendulum.
Lastly, I'm currently preparing for the physics GRE, and the amount you are expected to know is straight up insane. If anyone has any tips or resources beyond the four practice tests, they are much appreciated.