Hello, I've started a MS in mathematics at my university and I'm interested in mathematical physics or going to to physics for a PhD. The classes required for the MS are 2 semesters of real analysis, linear algebra, and one semester of algebra, everything else is up to the student to pick and choose from depending on their interest. As an undergraduate I took Fourier's series, and complex variables (different from complex analysis from my understanding, it was mostly applied). Are there classes anyone recommends for an interest in mathematical physics? They are offering an ODE course at the graduate level for the fall, should I look into this course or would the undergraduate version I took to enough? Thank you. These are the classes in the catalog: Lattice Theory Information Theory Ordinary Differential Equations Partial Differential Equations Nonlinear Programming Topology I, II, III Differential Manifolds Axiomatic Set Theory Numerical Analysis I, II Algebra I, II (Should I look into taking the second, it covers group actions, finite Abelian groups,Noetherian rings, factorization domains, and tensor products, but is not required for the MS) Intro to Commutative Algebra and Algebraic Geometry Representation Theory Universal Algebra Nonlinear Dynamics I, II Complex Analysis I, II Measure and Integration Real Analysis (This is different from the two semesters required. This one covers Lp spaces, Banach spaces, measure and topolgy) Applications of Tensor Analysis (I think this one is hardly offered though) Topics in Differential Geometry (Content Varies) Homological Algebra Intro to Functional Analysis I, II For statistics: Elementary Stochastic Processes Foundations of Probability (Probability spaces, expectation and conditional expectation, limit theory and law of large numbers) Continuous Multivariate Analysis Linear Models Advanced Theory of Statistics I, II Thank you for your help.