# MATH-UA 262 Ordinary Differential Equations

4 points. Fall and Spring terms.

## Course Description

A first course in ordinary differential equations, including analytical solution methods, elementary numerical methods, and modeling. Topics to be covered include: first-order equations including integrating factors; second-order equations including variation of parameters; series solutions; elementary numerical methods including Euler's methods, Runge-Kutta methods, and error analysis; Laplace transforms; systems of linear equations; boundary-value problems. Some optional topics to be chosen at the instructor's discretion include: nonlinear dynamics including phase-plane description; elementary partial differential equations and Fourier series.

## Prerequisites

Students must earn grades of C or higher in the following two prerequisite courses:

- MATH-UA 123 Calculus III
MATH-UA 129 Honors Calculus III__or__MATH-UA 133 Math for Economics III__or__ - MATH-UA 140 Linear Algebra
MATH-UA 148 Honors Linear Algebra__or__

## Anti-requisites

- MATH-UA 268 Honors Ordinary Differential Equations