Partial Differential Equations 1

3 credits · Undergraduate

This is an introductory course on partial differential equations (PDE). The main focus is on PDE models of first and second order equations arising from various disciplines. The course introduces analytic techniques related to three classical types of PDE: elliptic, parabolic and hyperbolic. Topics include: method of characteristics; Sobolev spaces; distributional derivatives; variational methods; maximum principle; Harnack inequalities; and qualitative properties of solutions to certain models. Prerequisite(s): MATH 336-3, or MATH 230-3 and MATH 302-3, or permission of the instructor