Mathematica Labs
for MATH 2248
These Labs refer to the textbook
Calculus/Early Transcendentals, 9th Ed., by J. Stewart.
Lab
1 (goes
with Secs. 12.1 and 10.1 and prepares you for Lab 3)
Part 1: Review, and Parametric plots in
2D and 3D (no exercises)
- Part 1 provides everything that you will need to know
about Mathematica to be able to do Part 2 (and future Labs 2). So,
you do not need any outside resources to successfully complete Part 2, posted below.
Part 2:
Parametric
plots of ellipses and hyperbolas (this part is to be
submitted for grading)
Solution
A note you may or may not need, depending on whether Wolfram has fixed in Mathematica 14.3 a bug that existed in some earlier versions:
You'll need to
download this file and open it on your computer; it may not open in
your browser.
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.
The file
will then open as a text file, which you cannot recognize as anything
useful. (This
isn't supposed to work like this, and up to 2015 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 to get
here through my Teaching page.)
3) Right-click on the link Solution and select option
"Save Link As" (or something similar in Macs). This will
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.
Of course,
you should decline it -- it's a Mathematica file, not text. So,
download the file as
is, i.e.
with extension .nb. You should now be able to open it as a
Mathematica file.
Lab 2 (goes
with Sec. 12.5 and is worth 1/2 of a "regular" Lab)
Basic vector operations, and equations
of planes
Solution
Lab 3 (goes
with Sec. 12.6)
Trace plots of quadric surfaces
Solution
Lab 4 (goes
with Secs. 14.1--14.3)
Contour plots, and discontinuous mixed
partial derivatives
Solution
Lab 5 (goes
with Secs. 14.6, 14.7)
Finding extrema of a function
Solution
Lab 6 (goes
with Sec. 14.8, which was not covered in class)
Introduction to Lagrange multipliers
If you open the Lab with an older version of Mathematica, some of the formulas in the text will likely look distorted. If this is so, here is the pdf file of the lab with all properly displayed formulas.
You should still work in the original Mathematica notebook supplied for
this Lab. When I open it (in the latest version of Mathematica), the
formulas will look correct.
Solution
Lab 7 (goes
with Secs. 16.6 (surfaces of revolution as covered in the posted Notes) and 15.9)
Parametric surfaces and their animation
Solution
Extra-Credit Lab (goes
with Secs. 16.6 (as covered in the posted Notes) )
Surfaces of revolution
The notebook mentioned in the Lab, which is intended to help you do this Lab:
EC_SurfOfRevol_ParamCurves.nb
Last
updated: August 2025