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

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=== Courses for which this course is prerequisite === | === Courses for which this course is prerequisite === | ||

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+ | Math 410 is the introductory numerical analysis course and is a prerequisite for the other 3 numerical analysis courses: Math [[Math 411|411]], [[Math 510|510]], and [[Math 511|511]]. It is also a prerequisite for [[Math 480]]. | ||

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[[Category:Courses|410]] | [[Category:Courses|410]] |

## Revision as of 12:25, 1 January 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

### 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

### 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.