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Mathematica Primer (the first one.)

This notebook has been written in *Mathematica *by

Mark J. McCready

Professor and Chair of Chemical Engineering

University of Notre Dame

Notre Dame IN 46556

USA

mjm@nd.edu

http://www.nd.edu/~mjm/

It is copyrighted to the extent allowed by whatever laws pertain to the World Wide Web and the Internet.

I would hope that as a professional courtesy that this notice remain visible to other users.

There is no charge for copying and dissemination

Version: 8/20/00

More recent versions of this notebook should be available at the web site:

http://www.nd.edu/~mjm/*Mathematicaprimer.1*.nb

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Basic *Mathematica* commands

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Homework set #1.

Please solve these problems using *Mathematica*. The examples above should be sufficient to solve them, or look at the "Help Browser" or send email to someone who can help.

1. Take the dot product of two orthogonal (3 element) vectors that you make up. Make sure you get the right answer. Now give the answer for the cross product. (Did you use the right hand or the left hand rule to get this answer? I'll bet you did not know that your answer is not really a vector, it is a pseudo-vector)

2. + = ?

3. Plot the sine and cosine functions to show their periodicity (ie. change this) and relative phase.

4. Integrate and then __figure out__ how to take the derivative of both the sine and cosine.

5. Are the sine and cosine orthogonal functions? Show this with *Mathematica*.

6. Which differential equation from your past or future will be solved by sine and or cosine functions?

Converted by *Mathematica*
August 20, 2000