Mathematica Page
for
Course 3E2-Numerical Methods
Mathematica is a very powerful package for both symbolic and numerical mathematics, written originally by Stephen Wolfram. Version 3.0 is available on all College Macs and PCs.
This page provides general information about Mathematica and access to Mathematica Notebooks based on the text
Numerical Methods for Engineering and Computer Science by J.H. Mathews.
His home page is http://titan.fullerton.edu/~mathews/index.html
Under the text "Numerical Methods Computer Software Supplements" you will find a link to the Mathematica routines which he has written to go along with his book. A local copy of the Mathematica_notebooks is also provided.

Some useful URLs

The URL for Stephen Wolfram's company is
http://www.wolfram.com/

The URL
http://www.wolfram.com/look//index.html
provides a tour of Mathematica 3.0

The following URL contains a list of specialised applications:
http://www.wolfram.com/applications

 There is an extensive collection of free packages at
http://www.wolfram.com/mathsource
and their product and support page also has useful information
http://www.wolfram.com/user_support

You will find some very intersting curves at the URL
http://www.best.com/~xah/SpecialPlaneCurves_dir/specialPlaneCurves.html

There is a good "Help" system in the package.
A useful primer is The Mathematica Primer by K.R. Coombes et al. Cambridge University Press(IR£19.70 in Hodges Figgis). There are copies in the Libarary including two in S-LEN. There are over 40 books on Mathematica in the catalogue. The principal reference  is The Mathematica Book by Stephen Wolfram.
Mathematica is a large and complex package. It is very powerful and many of you will find it useful for other courses both this year and next year. This Primer will get you off to a good start.
A web site for the Primer can be found at
http://www.math.umd.edu/schol/primer

The Mathematica Notebooks associated with John H. Mathews textbook

Two sets of Notebooks are provided. One is a shortened set of Notebooks which contain algorithms discussed in the lectures.

To fetch the files in Notebook form click on the links below, select all (CTRL-A), copy (CTRL-C), open Mathematica and paste(CTRL-V)

ShortChapter1
ShortChapter2
ShortChapter3
ShortChapter4
ShortChapter5
ShortChapter6
ShortChapter7
ShortChapter9

N.B. When using Euler, Heun etc. you ,ust use the variable names which Mathews uses e.g. y' = f(t,y)
A Notebook to generate a NumberLine for various parameters is available.

To fetch the complete chapters in Notebook form (.nb extension) click on the links below and proceed as for ShortChapters

Chapter1
Chapter2
Chapter3
Chapter4
Chapter5
Chapter6
Chapter7
Chapter8
Chapter9