Mth 621 Advanced Differential Equations I

Advanced theory of dynamial systems and partial differential equations including the basics of partial differential equations, boundary value problems for elliptic equations, the Cauchy problem, and parabolic equations. Topics selected from Hamiltonian systems, waves and shocks, variational methods, control theory. This is the first course in a sequence of three: Mth 621, Mth 622, and Mth 623. Expected preparation: Mth 423/Mth 523 or Mth 472/Mth 572.