Difference between revisions of "Math 411: Numerical Methods"
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=== Minimal learning outcomes === | === Minimal learning outcomes === | ||
| + | |||
| + | [Draft of 12/31/2009] | ||
<div style="-moz-column-count:2; column-count:2;"> | <div style="-moz-column-count:2; column-count:2;"> | ||
| − | # | + | # Numerical solution of initial-value problems |
| − | # | + | #* Euler's method |
| − | # | + | #* Runge-Kutta methods |
| − | # Approximation | + | #** Runge-Kutta-Fehlberg method |
| − | #* Least | + | #* Multi-step methods |
| − | #* | + | #* Extrapolation methods |
| − | # | + | #* Stability |
| + | #* Stiff differential equations | ||
| + | # Numerical solution of boundary-value problems | ||
| + | # Numerical solution of nonlinear systems of equations | ||
| + | # Approximation theory | ||
| + | #* Least-squares approximation | ||
| + | #* Orthogonal polynomials | ||
| + | #** Chebyshev polynomials | ||
| + | #* Rational function approximation | ||
| + | #* Trigonometric polynomial approximation | ||
| + | #* Fast Fourier transforms | ||
| + | # Numerical computation of eigenvalues and eigenvectors | ||
#* Power Method | #* Power Method | ||
| − | # Partial | + | # Partial differential equations |
</div> | </div> | ||
Revision as of 14:08, 31 December 2009
Contents
Catalog Information
Title
Numerical Methods.
(Credit Hours:Lecture Hours:Lab Hours)
(3:3:0)
Offered
W
Prerequisite
Description
Iterative solvers for linear systems, eigenvalue, eigenvector approximations, numerical solutions to nonlinear systems, numerical techniques for initial and boundary value problems, elementary solvers for PDEs.
Desired Learning Outcomes
Prerequisites
Minimal learning outcomes
[Draft of 12/31/2009]
- Numerical solution of initial-value problems
- Euler's method
- Runge-Kutta methods
- Runge-Kutta-Fehlberg method
- Multi-step methods
- Extrapolation methods
- Stability
- Stiff differential equations
- Numerical solution of boundary-value problems
- Numerical solution of nonlinear systems of equations
- Approximation theory
- Least-squares approximation
- Orthogonal polynomials
- Chebyshev polynomials
- Rational function approximation
- Trigonometric polynomial approximation
- Fast Fourier transforms
- Numerical computation of eigenvalues and eigenvectors
- Power Method
- Partial differential equations
