AMS 361 — Applied Calculus IV: Differential Equations
First- and second-order ordinary differential equations, linear systems, Laplace transforms, and series solutions, with engineering applications.
Instructor: Prof. Tan H. Cao
Term: Fall
Location: SUNY Korea
🔗 Official course page (Stony Brook AMS): AMS 361 — Applied Calculus IV: Differential Equations
Course overview
An introduction to ordinary differential equations and their solution techniques, oriented toward applied and engineering use.
Main topics
- First-order ODEs: separable, linear, exact equations
- Second-order linear ODEs with constant coefficients; method of undetermined coefficients; variation of parameters
- Linear systems of ODEs; phase-plane analysis
- Laplace transforms and applications
- Power-series solutions; introduction to numerical methods
Prerequisites
AMS 261 (Applied Calculus III), AMS 210 (Linear Algebra).