Survey of analytic methods for solving partial differential equations. Topics include: method of characteristics for solving first-order linear and quasi-linear equations; classification of second-order equations and canonical forms; background to separation of variables with applications; transform methods and Green functions; elliptic equations; heat and wave equations in one dimension. Prerequisites: grade of C or better in MATH 2210 and MATH 2310. 9/4/2019 - 12/13/2019, Lecture