# Difference between revisions of "Math 410: Intro to Numerical Methods"

From MathWiki

(→Minimal learning outcomes) |
(→Minimal learning outcomes) |
||

Line 36: | Line 36: | ||

#* Cubic spline interpolation | #* Cubic spline interpolation | ||

# Numerical differentiation | # Numerical differentiation | ||

+ | #* Richardson's extrapolation | ||

# Numerical integration | # Numerical integration | ||

+ | #* Newton-Cotes formulas | ||

+ | #* Composite integration | ||

+ | #* Adaptive quadrature | ||

+ | #* Gaussian quadrature | ||

+ | #* Multiple integrals | ||

# Numerical solution of linear systems | # Numerical solution of linear systems | ||

− | + | #* Direct methods | |

+ | #** Gaussian elimination | ||

+ | #*** Pivoting strategies | ||

+ | #** Factorization methods | ||

+ | #* Iterative methods | ||

+ | #** Jacobi iteration | ||

+ | #** Gauss-Seidel iteration | ||

+ | #** Relaxation methods | ||

</div> | </div> | ||

## Revision as of 14:33, 31 December 2009

## 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

### Minimal learning outcomes

- Numerical solution of equations of one variable
- Bisection method
- Fixed-point iteration
- Newton's method
- Error analysis

- Polynomial equations

- Interpolation
- Lagrange interpolation
- Divided-difference methods
- Hermite interpolation
- Cubic spline interpolation

- Numerical differentiation
- Richardson's extrapolation

- Numerical integration
- Newton-Cotes formulas
- Composite integration
- Adaptive quadrature
- Gaussian quadrature
- Multiple integrals

- 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