%% Created by Maple V Release 4 (LINUX INTEL UNIX)
%% Source Worksheet: myintro.mws
%% Generated: Thu Apr 30 08:58:14 1998
\documentclass{article}
\usepackage{maple2e}
\DefineParaStyle{Maple Output}
\DefineParaStyle{Maple Plot}
\DefineCharStyle{2D Math}
\DefineCharStyle{2D Output}
\begin{document}
\begin{maplegroup}
\begin{center}
\textbf{{\large A Introduction to Maple}}
\end{center}

\begin{center}
\textbf{Math 305}
\end{center}

\end{maplegroup}
\begin{maplegroup}
Here are some practice problems to get you started with Maple. We will
meet in the Neckers room 258 computer lab on Monday, January 26. Bring
this handout and the Maple booklet that came with your test. Read
Chapter 3

of the Maple book before class. As with any computer application
program you can expect to experience a 

certain amount of frustration in using Maple. Still it is a powerful
tool in modern mathematics and the applied

sciences. Learning it will be worth the effort. The problems below are
not to be turned in. This is just practice.

The first thing to notice is that you can write ordinary text with
Maple. This handout was written entirely with

Maple. It was then saved as a Maple worksheet. If you click on the
"Insert" button ou will see that you can

use text, like this paragraph , or Maple input:

\begin{mapleinput}
\mapleinline{active}{1d}{5+8;}{%
}
\end{mapleinput}

\mapleresult
\begin{maplelatex}
\[
13
\]
\end{maplelatex}

\end{maplegroup}
\begin{maplegroup}
Problem 1: Figure out how to do simple arithmatic. (See Chapter 3 of
the Maple book.)

Problem 2: Plot these  functions: x\symbol{94}2, sin x, exp(-x)*cos(x)
[exp(x) = e\symbol{94}x], tan(x\symbol{94}2+x).

I'll do the first one.

\begin{mapleinput}
\mapleinline{active}{1d}{plot(x^2,x=-3..3);}{%
}
\end{mapleinput}

\mapleresult
\begin{center}
\mapleplot{myintr01.eps}
\end{center}

\end{maplegroup}
\begin{maplegroup}
Problem 3: Use the dsolve command to sovle some first order
differential equations. 

Here is an example.

\begin{mapleinput}
\mapleinline{active}{1d}{dsolve(diff(y(x),x) +2*y(x) = 3,y(x));}{%
}
\end{mapleinput}

\mapleresult
\begin{maplelatex}
\[
{\rm y}(x)={\displaystyle \frac {3}{2}}  + e^{( - 2\,x)}\,{\it 
\_C1}
\]
\end{maplelatex}

\end{maplegroup}
\begin{maplegroup}
We could rewrite this as y(x) = 3/2 + Ce\symbol{94}(-2x).  Maple
numbers the constants even if there is only one of them.

Problem 4: Graph the solutions. Can you find a short cut?

Problem 5: Plot the direction fields. 

Problem 6: Print out your work.

\end{maplegroup}
\end{document}
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