AMS 326 — Numerical Analysis
Core numerical methods of scientific computing: root finding, interpolation, quadrature, linear systems, and ODEs — with Python implementations.
Instructor: Prof. Tan H. Cao
Term: Spring
Location: SUNY Korea
🔗 Official course page (Stony Brook AMS): AMS 326 — Numerical Analysis
Course overview
A standard introductory numerical analysis course, with emphasis on implementing and analyzing the convergence of classical algorithms.
Main topics
- Floating-point arithmetic; sources and propagation of error
- Root-finding methods (bisection, Newton, secant)
- Polynomial and spline interpolation
- Numerical integration and differentiation
- Direct and iterative methods for linear systems
- Single- and multi-step methods for ODEs
Prerequisites
AMS 210 (Linear Algebra), AMS 161 (Applied Calculus II), basic programming.