for MATH 121
These Labs refer to the textbook
Calculus/Early Transcendentals, 7th Ed., by J. Stewart.
with Secs. 12.1 -- 12.4)
Part 1: Review, and Parametric plots in
2D and 3D (no exercises)
plots of ellipses and hyperbolas (this part is to be
submitted for grading)
You'll need to
download this file and open it on your computer; it will not open in
Follow these steps for the download --
read them before you proceed!
1) Left-click on the link Solution and enter your UVM
NetID and password at the prompt.
will then open as a text file, which you cannot recognize as anything
isn't supposed to work like this, and last year it didn't, but some
software has changed...)
2) Go back to this page. (The
"back" button in the browser probably won't work, so you'll need
here through my Teaching page.)
3) Right-click on the link Solution and select option
"Save Link As" (or somethink similar in Macs).
give you the option to download the file to a folder.
IMPORTANT: Sometimes the OS will ask you if you want to add
a text extension to this file.
you should decline it -- it's a Mathematica file, not text. So,
download the file as
with extension .nb. You should now be able to open it as a
Lab 2 (goes
with Sec. 12.5)
Basic vector operations, and equations
Lab 3 (goes
with Sec. 12.6)
Trace plots of quadric surfaces
Lab 4 (goes
with Secs. 14.1--14.3)
Contour plots, and discontinuous mixed
lab with improved (hopefully) instructions for Ex. 2.
The essential changes pertain to the
Example before Exercise 2 and for some parts of Exercise 2. These
changes are highlighted by a pink background. (There are some other
minor cosmetic changes, but you should not pay attention to
them.) So, I want you to re-examine your answers to Ex. 2 based
on those changes (really, they are not changes, but clarifications of
what I want you to do).
DO NOT RE-TYPE YOUR ANSWERS
INTO THIS NEW LAB!
USE THE ORIGINAL LAB, BUT JUST KEEP IN MIND THOSE IMPROVED DIRECTIONS
WHEN ANSWERING THE LAB'S QUESTIONS.
Lab 5 (goes
with Secs. 14.6, 14.7)
Finding extrema of a function
Lab 6 (goes
with Sec. 14.8, which was not covered in class)
Introduction to Lagrange multipliers
Lab 7 (goes
with Secs. 15.10 and 16.6)
Parametric surfaces and their animation
updated: November 2013