Ordinary Differential Equations
This course introduces the main ideas of ordinary differential equations. Topics include vector fields, existence and uniqueness of solutions to first-order linear differential equations, stability, higher order differential equations, the Laplace transform and numerical methods, linear and nonlinear systems, and Sturm-Liouville theory. Prerequisite: Grade C or better in either MATH-SHU 131 (Calculus) or MATH-SHU 201 (Honors Calculus), and grade C or better in either MATH-SHU 140 (Linear Algebra) or MATH-SHU 141 (Honors Linear Algebra I). Anti-requisite: Students who have taken MATH-SHU 362 Honors Ordinary Differential Equations are not eligible. Equivalency: This course counts for MATH-UA 262 . Fulfillment: Math required course.
Topics
- vector fields
- existence and uniqueness of solutions to first-order linear differential equations
- stability
- higher order differential equations
- the Laplace transform and numerical methods
- linear and nonlinear systems
- and Sturm-Liouville theory
Topics explicitly listed in official catalogue description
Sources
- Course catalogue ↗2026-2027