These Labs refer to the textbook

Calculus/Early Transcendentals, 8th Ed., by J. Stewart.

The following issue occurred in Fall 2015:

If 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.

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,
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.

Solution

You'll need to download this file and open it on your computer; it will 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: November 2020

Wolframs' Notebook on Core Calculus