MATH 121.G (Fall 2020)
Calculus III
- Syllabus for
Math 121 (2 pages) <--
Corrected date to withdraw: Monday, November 2
- 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
- Note: If you purchase WebAssign (whichever
option) online, use the same email
address 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. You need to contact me to request any extension
only due to circumstances that you consider extraordinary and believe
they warrant either a longer extension or an extension without penalty.
For such a request, use the link "Extension request" under rubric
"Comunications" in WebAssign.
- Follow this
link to install Mathematica
on your computer.
- On that page, click on the link "Get
Mathematica" and follow the directions there. When prompted, you will
need to login with your UVM NetID. And yes, you will need to create a
Wolfram account if you had not created it before.
- On Wolfram's webpage, you are given the
choice between a Download Manager (4GB) or Direct Download (11+GB). I'd
go with the smaller of these files.
- 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 40 minutes (or longer if your connection to Internet is
slow).
- On the same page, notice other helpful
information. "Mathematica Tutorial Videos" is a very friendly resource,
which will help you get started if you have not used Mathematica
before.
- How we will work on Mathematica Labs in class
- My policy on Mathematica Labs (please read them as soon as the first Lab
is assigned)
- Rules about lab submission:
- 1)
Each lab is to be submitted to me via e-mail
on its due date before
class (or earlier).
If you are part of a group (i.e., two students) who have worked
together, only one copy of the
lab should be submitted (by either of you). Note that it is the
responsibility of the group members to work out details of who submits
the lab. No points will be credited back to a student in a group whose
partner has failed to submit a joint work on time. That is, both
members of a group will always receive the same score, regardless of any possible
circumstances.
- 2)
Late submissions on the due day (i.e., until midnight) will be graded
out of 80%, and submissions between then and up to two days (= 48
hours) past the
deadline will be graded out of 50%, provided
that you contact me before the submission deadline and ask for an
appropriate extension. See the Example
below. Any later submissions, or
submissions without a prior request for a two-day extension,
will not be graded, unless I give you an individual extension due to
some extraordinary circumstances. Even though I allow you to submit the
lab (for a 50% penalty) up to two days late, I really want to
discourage such late submissions because I would like to post solutions
to a lab right after it has been due.
- Example: Suppose Lab 1 is due on January 1
by 9 a.m. You contact me on January 1 at 8:30 a.m. and ask for a
(regular) extension, which I will normally grant. If you then submit
your lab on January 1 at 11:45 p.m., you receive 80%. If you submit it
on January 2nd or on January 3 before 9 a.m., you receive 50%. If you
submit it after 9 a.m. of January 3rd, you receive a 0. You will also receive a 0 if you
have not asked for an extension before 9 a.m. on January 1 or,
as the last resort, imediately after class on that day. An
extraordinary extension (i.e., without a penalty or for longer than two
days) may be granted, but it still must
be requested in the timeframe described above.
- 3)
The subject line of your
e-mail must contain the string math_121 (it may
contain anything else in addition to that). Note the underscore and its
placement: math_121, NOT
math121,
or math 121, or math121_ !
- 4) All your
other e-mails (with questions etc.) must NOT contain that string;
otherwise I cannot guarantee a timely response.
- 5) The name of the file that you submit must
follow the format: math121_lab#_YOURNAME.nb
or math121_lab#part#_YOURNAME
.nb
("yourname" does not have to be in capitals).
- 6) Statistics
of illegal collaboration on Quizzes and Labs
- Mathematica
Labs and their solutions
- Lab 7 is due on Tuesday, December
1, before class
- Remember: You are to email me your Mathematica
notebook (not a pdf!) according to the rules stated above
- Solutions
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).
Preparation
sheet for the Final Exam <--- NEW
- The test will be available on Blackboard for download from
8 am to 10 pm on Monday, December 7
- The test is due (uploaded on Bb) at 10:00 pm on Monday,
December 7
- Please make sure to follow submission instructions
regarding the file size (see the Syllabus) and format (there are 3
links on this page under Syllabus discussing this).
- Links of interest
- 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.
- History
of matrices and determinants. Also, the directory found at the
same site
contains many interesting links about various curves, history of
mathematics, and related topics.
- Lecture
Notes
- 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 (larger but searcheable files: pp. 27-1...4;
pp. 27-5...8;
pp.
27-9...13 ).
- 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