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

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+ | # 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 | ||

+ | # Numerical integration | ||

+ | # Numerical solution of linear systems | ||

</div> | </div> |

## Revision as of 14:24, 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
- Numerical integration
- Numerical solution of linear systems