Getting started with Maple
Note: This document was written under the HPUX operating system, which is
now deprecated with the department. To the best of our knowledge, the
basics presented here continue to hold on other installations, but if you
note an issue with what is presented and what you are seeing with your
own experiences, please send a note to site.
This document covers these subjects
What is Maple?:
Maple is a tool for symbolic mathematical calculation. Maple can
do expand, simplify, and factor algebraic expressions, integrate
and differentiate, and solve linear and differential equations or
systems of equations. Maple works symbolically rather than with
numerical approximations, which means that if you ask it for the
integral of sin(x) with respect to x it will give you -cos(x).
Maple can also plot functions.
Here are a few very simple examples:
| Expression | Maple Command | Maple Output |
the integral of sin(x) with respect to x |
int(cos(x),x); |
sin(x) |
the sum of 2 to -kth power for k=0 to infinity |
sum('1/(2^k)', 'k'=0..infinity); |
2 |
the derivative of the log of x squared |
diff(log(x^2),x); |
2/x |
the solution of x*x - 3x + 2 = 0 |
solve(x^2-3*x+2=0); |
2,1 |
Starting Maple:
Sit down at one of the Unix systems in DL557 and log in.
Using the mouse, position the cursor on the background, away from any
of the windows. The mouse cursor will change to X. Press and
hold the right mouse button to bring up the Root
Menu. The cursor will change to an arrow while you are holding
the right button. Slide the arrow down to the menu entry Design
tools. The Design tools menu will appear. Slide
the arrow to the right until it is on the Design tools
menu, then down until it is on the entry Maple. Now
release the button.
The outline of a rectangle will appear on the screen. This will be
the Maple window, as soon as you've told the computer where you want
it. Using the mouse, position this outline anywhere you like on the
screen. When you like the position of the box, click the left mouse
button. The outline will fill in. The window will say Maple V
Release 3 in the title bar on top. Below the title bar is a
menu bar (you can access the menus by clicking the left mouse button
on one of the menu labels) and below the menu bar are three buttons
you can use to stop or pause Maple's calculations. The large area in
the middle of the window is where you type Maple commands, and where
Maple will display most of its results. It contains the Maple prompt,
which looks like this: >
You can also start up maple from a shell prompt, by typing:
xmaple &
Plotting on the HPs:
To bring up a simple plot, type the following command in the Maple
window:
plot( cos(3*x)*sinh(x)*exp(-x\ctrl{2}), x=-5..5);
Don't leave out the semicolon (;) at the end of the
line - Maple needs it to know that you've typed a complete
expression. The outline of a new window will soon appear on the
screen. Place it by clicking the left mouse button, and the new
window will appear, titled Maple V 2D and showing a plot
of this function.
Maple can also do three dimensional plots---try the commands:
r := (x\ctrl{2}+y\ctrl{2})\ctrl{(1/2)};
plot3d( cos(y)*BesselJ(0,r), x=-5..5, y=-5..5);
How to print:
To get a printed copy of the plot, you first need to create a file
containing a Postscript version of the plot. To do this, move the
mouse cursor onto the word File which appears in the top
left corner of the plot window. Do this in the plot window, not in
the main Maple window. Click and hold the left mouse button, and
slide the cursor down to select the Print option, then
slide the cursor right and select the Postscript option.
A small window will pop up, asking you to confirm the name for the
file to be created. Change the name if you like, then select
Confirm.
Now go to one of your xterm windows and you can print the file
with the lp command. If you accepted Maple's default file name,
the command to do this would be:
lp plotoutfile.ps
Be sure that you are in the correct directory for this! If Maple
was started from the mouse menu, the file will be saved in your top
level home directory. Otherwise, it will be saved in the directory
from which you started Maple.
To remove a plot window, select Exit from the
File menu in the plot window, or hold down the
<Alt> key and type x in the plot
window.
Using Maple's on-line help facilities:
Maple has extensive built-in help facilities, which you can get at
in several ways. One way is through the Help menu in the upper
right corner of the Maple window. Under this menu you'll find the
Help Browser, which lets you select help by category, and the
Keyword Search, which lets you search the entire set of help
files for a particular word or topic.
You can also look at help files by using the help command (?) at
the Maple prompt. Follow the question mark with the name of a
command for which you need help, and Maple will give you an
appropriate help window. Here are some ways to use the help
command:
?intro
?library
?index
?index,category
?topic
?topic,subtopic
|
- Introduction to Maple
- Maple library functions and procedures
- List of all help categories
- List of help files on specific topics
- Explanation of a specific topic
- Explanation of a subtopic under a topic
|
Learning more about Maple:
Maple is a very powerful tool, and you'll have to do some reading
before becoming proficient at it. You can learn all you need to by
browsing through the on-line help and experimenting, but
fortunately this is not the only way. There is a very good
tutorial introduction to Maple in the book:
First Leaves: A Tutorial Introduction to Maple V. Bruce W. Char
et al., Springer-Verlag, 1992.
How to quit Maple:
Select Exit from the File menu. Or, hold
down the <Alt> key and type x in the
Maple window. Or, type quit in the Maple window.
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