for MATH 121
These Labs refer to the textbook
Calculus/Early Transcendentals, 8th Ed., by J. Stewart.
The following issue occurred in Fall 2015:
Mathematica freezes on startup, follow instructions in this link.
This issue has not
been known to occur after Fall 2015, but I keep the above note just in
case that it may be needed again.
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)
plots of ellipses and hyperbolas (this part is to be
submitted for grading)
- Part 1 provides everything that you will need to know
about Mathematica to be able to do Part 2 (and future Labs 2). So,
strictly speaking, you do not need any outside resources. However, if
you are new to Mathematica, you may want to watch some of tutorial videos on Mathematica,
prepared by our Prof. Helen Read. At the bottom of the above page, there
are links to Math 21 and 22 Labs, each of which has their Introductory
Lab; you may take a look at them as well. However, to repeat:
This may help boost your confidence in using Mathematica, but will not
be needed per se to do Part 2.
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 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.
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 and is worth 1/2 of a "regular" Lab)
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 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
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.
Lab 7 (goes
with Secs. 16.6 (surfaces of revolution as covered in the posted Notes) and 15.9)
Parametric surfaces and their animation
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:
updated: November 2020
Wolframs' Notebook on Core Calculus