MATH 611 - Introduction to Ordinary and Partial Differential Equations - Fall 2023

Credits 3. 3 Lecture Hours.

Basic theory of ordinary differential equations; existence and uniqueness, dependence on parameters, phase portraits, vector fields. Partial differential equations of first order, method of characteristics. Basic linear partial differential equations: Laplace equation, heat (diffusion) equation, wave equation and transport equation. Solution techniques and qualitative properties.
Prerequisite: MATH 410 or equivalent or instructor's approval.