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 or MATH-UA 129 Honors Calculus III or MATH-UA 133 Math for Economics III
- MATH-UA 140 Linear Algebra or MATH-UA 148 Honors Linear Algebra
Anti-requisites
- MATH-UA 268 Honors Ordinary Differential Equations