MA405 - Numerical Analysis - Spring 2008
Handy Documents


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Document

Description

Homework Example

PDF

Explains how you should write-up your hand-in homework problems.

Basic Calculus Review (pdf format)

Consists of basic calculus problems you should be able to work and theorems you should know for the study of numerical analysis.

A Brief Introduction to Maple 11 A brief introduction to Maple written by me and my mathematical spouse, Dr. Marcus Pendergrass.

Diff Versus D

A worksheet written by Dr. Marcus Pendergrass explaining the difference between the diff command and the big D command for differentiation

Taylor Polynomial Plots of exp(x)

A worksheet that shows how to generate Taylor polynomials.  It also plots shows some plots of the polynomials.  This is an old-timey Maple worksheet.

Problem 13, Section 1.1

Here is problem 13 from Section 1.1 worked using Maple.  This is also a Maple document (versus a worksheet)

Round-Off Error This worksheet shows how to implement k-digit rounding and chopping floating point arithmetic in Maple.  It also contains the code for Problem 27, Section 1.2 of your text.
Working with Lists This worksheet document shows how to use lists in Maple and has the Maple procedure for the pseudo code we wrote in class to evaluate an nth degree polynomial with with O(n) computations.

Growth and Decay

This worksheet compares polynomial and exponential growth and decay and discusses this in terms of order of convergence.

Bisection Method This is an implementation of Algorithm 2.1, the Bisection Method, in Section 2.1 of the text.

Lagrange Polynomials

This document shows how to compute Lagrange polynomials using Maple.

Splines This document shows how to find splines using Maple. 
Data for Least Squares Fits This Maple file contains the data for the examples in Section 8.1 of your text.
Least Squares Fits in Maple This Maple document shows how to use the curve fitting package in Maple to perform least squares fits on the data for the examples in Section 8.1 of your text.
Least Squares in Excel This Excel file also contains the data for the examples in Section 8.1 of your text as well as scatterplots, plots of the least squares fits, and computation of the error for each fit.

ODE Basics

This Maple document shows how to solve some basic ODEs and also how to graph their direction feilds.

Basic Gradient Descent This Maple document show basic 1-D gradient descent.
HW 4 Solution This Maple document gives the solutions to Homework 4 (some of the Maple code has been cut directly from student solutions :-))

How to Use Derive

Word       PDF

A brief introduction to Derive written by our own Dr. Webber.

Introduction to Derive (pdf format)

A more detailed introduction to Derive (freely available on the Derive website)

Getting Started with MATLAB

A pdf file with basics on how to use MatLab.

Numerical Computing with MATLAB by Cleve Molar

This handy document is actually a link to the Academic portion of the MATLAB Site.  Click on "Textbook by Cleve Molar" under the Faculty Center.  It is highly recommended to download the NCM files (available as a zip file on-line and below for your convenience).

NCM Files A zip file that contains Data Files, Guis, and m files to accompany the text by Cleve Molar above.   Also available on the MATLAB Academic site.

MATLAB Tutorials

This link takes you to the Student Center of the MATLAB Site  - go to the Academia page to see other Student Center links.


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