AM 212A Applied Partial Differential Equations

Focuses on analytical methods for partial differential equations (PDEs), including: the method of characteristics for first-order PDEs; canonical forms of linear second-order PDEs; separation of variables; Sturm-Liouville theory; Green's functions. Illustrates each method using applications taken from examples in physics. AM 211 or equivalent is strongly recommended as preparation. Students cannot receive credit for this course and AM 112. (Formerly AMS 211, Applied Mathematical Methods I.)