the applied math curriculum is very weak at my school so i've been fishing around in other departments trying to cobble together some useful skills. as of right now that i've only taken the basics but next semester i have seemingly decent choices for classes. available to me are: computational astrophysics: introductory numerical techniques class in the context of astrophysics methods of applied math: dynamical systems and perturbation methods foundations of computational math 1: what it sounds like, rigorous explanation of the methods used in computational math. intro to fluid dynamics intro to financial math all of these are at the graduate level. there's also a graduate QM class i'm considering taking for fun so at most i could take 2 of the above or 1 and the QM class. additionally if i want to have a well rounded applied math preparation coming out of undergrad what should i be studying? i've taken the usual calc sequence including differential eqns and linear algebra and i've got the programming aspect covered and i know i should learn PDEs. what else?