I am an undergraduate working towards a degree in Engineering Physics at Berkeley and I want to go to graduate school in Applied Physics, probably specializing in electronics. I have plenty of math major friends and they tell me all the time about how they keep running into physics majors in their classes. I was wondering what mathematics courses would be useful for someone planning to head in the direction I am heading in? I have completed calculus up to mulitvariable, lower division linear algebra and differential equations (They are lumped together in one semester at my school), and a year of math methods for physical scientists (First semester was things like complex numbers, applications of taylor series, and fourier series and transform. Second semester was basic PDE's: variational calculus, basic attempts at symmetry solutions, forbenius series, eigenvalue problems and the like). My math major friends tell me I should take upper division linear algebra and real analysis. One even suggests abstract algebra because his professor says it is crucial to quantum field theory. I personally feel very comfortable with not needing linear algebra after taking Quantum Mechanics but I'm not sure about the others. Just for the sake of being thorough, the classes that I am currently considering are: -Real Analysis (It is mandatory for the ODE course and I hear it is necessary for graduate PDE. Also a prereq for differential geometry and complex) -Linear Algebra (People say it is very hard to get by in the more rigorous upper division math classes without this class) -Numerical Analysis -Complex Analysis -Metric Differential Geometry (I don't know much about it but from what I can gather it is more or less an advanced geometry course which seems useful) -Optimization (Like I said I'm doing applied physics, and this seems useful for applied majors) -PDE (Basic PDE course, it studies PDE a little more rigorously than the mathematical physic course I've already taken) I definitely do not plan on taking all of these! If you had actually read all that, I feel like I should give you a prize but I'm afraid I can only offer my sincerest thank you.