MATH 2280 - Ordinary Differential Equations

Credits: 4

This is an introduction to ordinary differential equations (ODEs) for mathematics, mathematics education, and science majors. Topics include the implicit function theorem, separable, nth-order linear ODEs, and first-order systems. Analytic/algebraic methods include integrating factors, polynomial derivative operators, variation of parameters, Cramer’s rule, and general eigenvectors; Laplace transforms are optional. Numerical techniques include Euler’s method and the improved method with Runge-Kutta (RK4) optional. Applications include predator-prey models and air resistance models. Linear algebra is integrated throughout, e.g., basis, dimension, isomorphism, null space, eigenspace. The course prepares students for more advanced study in partial differential equations.

Prerequisite: Within the last year, MATH 2270 with a C grade or better (preferably a B or higher)
Semesters Offered: Fall & Spring

Click here for searchable class schedule