# 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