MATH 121.B (Fall 2022)
Calculus III
- Table
showing interrelations among topics covered in this course
- Homework
<--- Check out this
page for Hints and 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.
- Video:
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 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!
- Instructions
for enrolling in WebAssign
- 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.
- Three
options of buying a textbook
- Options 1 and 3 are available at the Bookstore. Options
1 and 2 can be purchased within WebAssign. If you have not purchased
the Multi-term option of this textbook before, then the cheapest option
is probably Option 1 with Single Term selected.
- 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.
- About late a submission of a
homework assignment. 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 are beyond your control. If you
believe that they are, then choose the "Manual" extension in the
procedure described above, and justify your request to me. If I agree,
I will be happy to give you either a longer extension or an extension
without penalty.
- Follow this
link to install Mathematica
on your computer.
- On that page, read the (very short)
instructions, click on the link "UVM Software Portal" and follow the
directions there. When prompted,
you will
need to login with your UVM NetID.
- After you install Mathematica on your
computer, it will ask you to Activate the program and will display a
window with two Activation options: (1) with an Activation Key and (ii)
through your organization. Choose the latter and sign in with your UVM
credentials. In this process you will again be presented with the
options to sign in with your Wolfram account or via UVM; choose the
latter.
- Install
Mathematica at your earliest convenience. Do not wait
until the class when
we will begin working on Lab 1. The installation process
takes about 20 minutes (or longer if your connection to Internet is
slow).
- On the same page, notice the link to "tutorial videos" at
the end. This is a very friendly
resource,
which will help you get started if you have not used Mathematica
before.
- My policies on Mathematica Labs (please read them as soon as the first Lab
is assigned)
- Rules about Lab submission
- Statistics
of illegal collaboration on Quizzes and Labs
- Mathematica
Labs and their solutions
- Lab 7 is due on Tuesday, December 6, 2022, before class
- The latest edition of Lab 7 was posted at 11 pm on Nov. 16; the edition which you use must have that date on it.
- Remember: You are to email me your Mathematica
notebook (not a pdf!) according to the rules stated above
- Solution
to Labs 1-6 have been posted. Please let me know if you cannot
access it
(however, please make sure to follow the procedure of opening the file
as described before Solutions to Lab 1).
- 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