Lab 1
MCS222:
Multivariable Calculus
The purpose of this lab is to introduce you to Maple, a
mathematics
program which allows you to do computation and graphing. You will not
need to hand anything in, and you are welcome to consult with your
neighbor as you are working.
For this lab, please carry out the following:
- Open Maple by clicking on the Maple 13 icon in the row of icons
on the bottom of your screen. (You should have the computer booted to
Macintosh OSX)
- After opening Maple, you will have an "Untitled" window where
you can do computations. Instead of doing that, though, please click on
the Help icon
in the icon bar at the top of the Maple window.
Then, in the Help window that opens, click on "Getting Started" ->
"Tutorials" -> "1-Talking to Maple". Work through a few of the
examples here to become familiar with basic Maple input and output.
- Next, click on the Help icon again and go to "Getting Started"
->
"Tutorials" -> "4-Plotting". Work through the sections:
- Introduction
- 2-D and 3-D Plots
- Using the Plot Builder Assistant
- Note that you can move
3-dimensional graphs around in space. This allows you to see the graphs
from many
angles and significantly helps in visualization.
- Having done this, try graphing some of the functions we looked
at or that were discussed in the book. In particular, you might try
graphing the following functions:
- z = x^2 + y^2
- z = x * y
- z = exp(-(x^2 + y^2)) * sin(x+y)