MATH 8360 Differential Equations
This course will cover ordinary and partial differential equations. Topics may include but are not limited to basic theory of ordinary differential equations, existence and uniqueness of solutions, continuity with respect to initial conditions and parameters, linear systems and nth order equations, analytic systems with isolated singularities, self-adjoint boundary value problems on finite intervals, classical theory of heat, wave, and potential equations, fundamental solutions, characteristics and Huygens principle, properties of harmonic functions, classification of second-order differential operators, maximum principles, energy methods, uniqueness theorems.
Prerequisite
Consent of instructor.