MATH 2248.E (Fall 2026)
Calculus III
- Table
showing interrelations among topics covered in this course
- Homework
<--- Check out this
page for the Assignments, Hints, Notes and more
- Common syntactic errors and issues that may
occur when you type your answers in WebAssign. Check these out before
starting HW 2
(or before any later HW if you haven't noticed this Note earlier).
Please contact the instructor only if your syntactic question is not
addressed among the listed errors/issues.
- Step-by-step instructions on How I
expect you to do homework problems
-
- When
doing problems on WebAssign, you may, of course, use their "Watch It"
videos. However, note what the Syllabus says: "... you should study
your notes before you attempt the homework, and mimic your solutions on the
examples in the notes (and the indicated examples from the
book)". In the past I have seen many instances where students sail
through the homework problems on WebAssign because they simply follow the steps of
"Watch It"s, but cannot do the exact same (or very similar) problem
when it is given on a quiz. (And, quizzes contribute more than
twice as
much to the final grade than all WebAssign homework assignments.)
So, don't get carried away with "Watch It"s and study by the class notes and
Examples!
- About a late submission of a
homework assignment on WebAssign. If you have missed a deadline for
a submission, you may still submit your work up to 48 hours late and
receive 70% of the original score. You do not need to contact me in this
case; the system is set up to automatically give you such an extension
with a 30% penalty. The difference between Automatic and Manual Extensions is explained below.
- If
you qualify for an Automatic extension as per above, you need to click
on "Request Extension" button in your assignment and select "Automatic"
between the two options that you will be given. (The "Request
extension" or "Extension request" button may also be under the rubric
"Communications" inside WebAssign.)
- If
your request for an extension falls outside the time limits of an
Automatic extension, then do this. First, think whether you can justify
to yourself that the circumstances that made you delay doing the
assignment are indeed extraordinary or were beyond your control. If you
believe that they are/were, then choose the "Manual" extension in the
procedure described above, and justify your request to me. If I agree (which is not guaranteed),
I will be happy to give you either a longer extension or an extension
without penalty.
- Instructions
for enrolling in WebAssign (including a video in this link)
- Note that there is a free trial at the beginning of the
semester, so you can all enroll in WebAssign the first day even
if you haven't yet bought the book. In fact, it's a good idea to
use the free trial until you are certain you are staying in
the class.
- Options of buying a textbook
- The recommended option for this course is the one framed in a red box in this picture.
- Note: If you purchase WebAssign (whichever
option) online, use the same email
addres that you use to sign into WebAssign. Using different
email addresses for purchasing and signing in is a
common source of access code problems.
- What to
do if you received a low grade on a quiz and want to
improve your future grades
I
really think that the above 3-step review will help you if you follow
the directions.
- Schedule of (homework-based) quizzes:
- Quiz 1 will be on Thursday, 9/10, and will cover the material of Secs 12.1&2 and 12.3.
- Quiz 2 will be on and will cover the material of Secs.
-
- Instructions
for doing extra credit Homework assignments (please read them before you attempt to
do one)
- Installing and using Mathematica
on your computer
- Go to the UVM Software Portal,
find Mathematica, and follow your nose to install it (you will need to
enter your UVM netID and password). Between the two download options,
you can choose Manager vs Full Installer, as the former is a bit
faster. After installing, the system will ask you to activate Mathematica if you don’t
already have an active license on your computer. Choose Activate Through Your Organization (SSO), enter your UVM email and follow your nose.
- Install
Mathematica at your earliest convenience. Do not wait
until the class when
we will begin working on Lab 1 (most likely on the first Friday of the semester). The installation process
takes about 10 minutes (or longer if your connection to Internet is
slow).
- While the first Lab that we will do will contain a detailed introduction to all commands that you will need, you may also find tutorial videos, prepared by Prof. Helen Read, on this page.
- Statistics
of illegal collaboration on Quizzes and Labs
- Mathematica
Labs and their solutions
- Lab 1 was started in class on Friday, 9/4/26 and is "due" on Wednesday, 9/16/26. Recall that on that day, you will have a quiz on Lab 1.
- For
Lab 1 only, I'll run a help session. Anyone with questions about Lab 1
is welcome to attend it. The session will be either on Wednesday, 9/9,
from 6:00 - 7:30 pm in Votey 303. I'll there for sure the
first 15 minutes. I'll leave if no one attends. If you plan to attend
later than 6:15, please let me know before 5 pm of that day.
- The preamble for all Mathematica Lab quizzes. It is posted to familiarize you with my expectations for your work.
- Solution
to Labs 1-6 will be posted. Please let me know if you cannot
access any of them.
- A very friendly and well-structured Tutorial
by Martin
J.
Osborne, Professor of Economics at the University of Toronto. It is
not a specifically Calculus tutorial, but it has plenty of Calculus
material. Its focus is not on mathematical abstraction but on
application of mathematical technics to economics, with plenty of
examples. Here is its table
of contents.
- Sec.
12.6
- Sec.
13.1
- Sec.
13.2
- Sec.
13.3
- Sec.
13.4
- Test
1 will be given after we cover Sec. 13.4
- A paper discussing the
effect of air resistance on projectile motion
- Sec.
14.1
- Sec.
14.2
- Sec.
14.3
- Sec.
14.4
- Sec.
14.5
- Sec.
14.6
- Sec.
14.7
- Test
2 will be given after we cover Sec. 14.7
- Slides
of a talk on Electrical Power Networks by Chris
DeMarco, Professor of Electrical and Computer Engineering at the
University of Wisconsin-Madison, that he recently gave at UVM. You may
find here plenty of concepts that we have learned in Chapter 14, used
in a very practical context.
- Sec.
15.1-A
- Sec.
15.1-B
- Sec.
15.2
- Sec.
15.3
- Sec.
15.4
- Sec. 15.5 is skipped
- Sec.
15.6
- Sec.
15.7
- Sec.
15.8
- Sec.
15.9
- Test
3 will be given after we cover Sec. 15.9
- The Jacobian arises in
many
applications,
not just in double and triple integration. Basically, it replaces the
derivative dy/dx for the case of multiple variables. Here is a lecture from UVM's course
EE215 (Electric Energy System Analysis), courtesy of Prof. M.
Almassalkhi, where it is used to solve a system of nonlinear equations;
see bottom of page 1 and below.
- Sec.
16.6
- Extra-credit
Mathematica Lab (find logistical details on the
Homework page)
- Even
if
you do not intend to do this extra-credit Lab, feel free to browse
through it for images of Dumbbells, Squashed spheres, Hearts, Surfaces
with petals, and more.
- Sec.
16.1
- Sec.
16.5
- Sec.
16.2
- Sec.
16.3
- Sec.
16.4
- Sec.
16.7
- Sec.
16.8
- Sec.
16.9