Difference between revisions of "Math 410: Intro to Numerical Methods"
From MathWiki
(→Minimal learning outcomes) |
(→Minimal learning outcomes) |
||
| Line 61: | Line 61: | ||
#** Gauss-Seidel iteration | #** Gauss-Seidel iteration | ||
#** Relaxation methods | #** Relaxation methods | ||
| + | |||
| + | |||
| + | |||
| + | |||
</div> | </div> | ||
Revision as of 09:26, 18 February 2010
Contents
Catalog Information
Title
Introduction to Numerical Methods.
(Credit Hours:Lecture Hours:Lab Hours)
(3:3:0)
Offered
F
Prerequisite
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
Prerequisites
Students are required to have had multivariable calculus.
Minimal learning outcomes
- Numerical solution of equations of one variable
- Bisection method
- Secant method
- Fixed-point iteration
- Newton's method
- Error analysis
- Polynomial equations
- Interpolation
- Lagrange interpolation
- Divided-difference methods
- Hermite interpolation
- Cubic spline interpolation
- Numerical differentiation
- Derivation of formulas
- Backward-difference
- Forward-difference
- Centered-difference
- Error analysis
- Richardson's extrapolation
- Derivation of formulas
- Numerical integration
- Newton-Cotes formulas
- Composite integration
- Adaptive quadrature
- Gaussian quadrature
- Multiple integrals
- Error analysis
- Numerical solution of linear systems
- Direct methods
- Gaussian elimination
- Pivoting strategies
- Factorization methods
- Gaussian elimination
- Iterative methods
- Jacobi iteration
- Gauss-Seidel iteration
- Relaxation methods
- Direct methods
Additional topics
Courses for which this course is prerequisite
Math 410 is the introductory numerical analysis course and is a prerequisite for the other 3 numerical analysis courses: Math 411, 510, and 511. It is also a prerequisite for Math 480.
