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Getting down to it, I'm interested in a number of topics in advanced physics. Specifically, I'd like to begin to do a bit of self-guided study on special/general relativity and eventually QM and unified field theory. My background in physics isn't enormous, but I have taken college courses in classical mechanics and electromagnetism/optics (physics I and II, calculus treatment). I've also had 3 semesters of calculus.

I can already hear someone practically screaming "MATH MATH MATH!" What math topics should I start with? I'm assuming differential equations is the next step, but I'm not sure where to go from there. Vector analysis? What are my next steps as far as math and also physics? If someone could offer me a sort of curriculum guideline it would really help me out.

Thanks for making this a great place to ask questions!