Advanced Methods for Differential Equations

1 Unit · Graduate

The intended audience for this course are students interested in applied mathematics, specifically, in analytical solution techniques for differential equations. Review of methods for solving ODEs, including power series methods. Self-adjoint and non self-adjoint boundary value problems. Special Functions. Eigenvalue problems. Eigenfunction expansions. Transform methods. Distribution theory. Green?s functions for ODEs. Solution of PDEs by separation of variables. No textbook required; lecture notes provided. May not receive credit for both this course and ES_APPM 311. Suggessted.