Math 410: Intro to Numerical Methods

Catalog Information

Title

Introduction to Numerical Methods.

(Credit Hours:Lecture Hours:Lab Hours)

(3:3:0)

Offered

F

Prerequisite

Math 314.

Description

Root finding, interpolation, curve fitting, numerical differentiation and integration, multiple integrals, direct solvers for linear systems, least squares, rational approximations, Fourier and other orthogonal methods.

Desired Learning Outcomes

Minimal learning outcomes

1. Numerical solution of equations of one variable
   • Bisection method
   • Fixed-point iteration
     • Newton's method
     • Error analysis
   • Polynomial equations
2. Interpolation
   • Lagrange interpolation
   • Divided-difference methods
   • Hermite interpolation
   • Cubic spline interpolation
3. Numerical differentiation
4. Numerical integration
5. Numerical solution of linear systems