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I'm a physics major and in my freshman years. One of the things I keep hearing is how competitive grad schools can get. So, I ask you lot "What are the requirements to get into a grad school for physics"? Well, I mostly want to hear things other than a good GPA (which is obvious).

Also, to study theoretical physics, which math courses are a MUST? In my university, physics majors take Calculus, Linear Algebra, Differential Equations, Complex Analysis, Numerical Analysis and Fourier Analysis. Moreover, we get Group Theory, Tensor Analysis and Mathematical Physics in electives. (On contrary, can these topics be covered by merely self-study?).