Announcements
12/15/04 
Finals have been graded and course letter grades
are now available
HERE . Please let me know if
you see any discrepancies. 
12/13/04 
I will be in my office this evening from 6:30
until about 9:00. Feel free to come by
with any questions. 
12/13/04 
I have graded
everything except lab 6 and chpt 4 challenge problems. You may
come by to pick up the other stuff at my office anytime before 1:30
this afternoon. I will post grades just as soon as I finish the
final lab and challenge problems. There
are some assignments without names, so it would be very
helpful if folks would come by and pick up homework asap since this
will help identify the anonymous work.... 

A word about
the final exam A good performance on the final will often
provide convincing evidence of having mastered material that may have
been a struggle gradewise earlier in the course, so that sometimes a
good final grade exam may be weighted a little more heavily in computing
your course grade. STUDY TIPS
for the final exam. The final exam will emphasize chapter
5. You can find a practice test at: chapter
quiz. In fact, this is probably one of the best places
to study for all the chapters, since some multiple choice questions on
the final will be very similar to these. Additional problems may be
taken from the following drills:
(There was a link to a set of drills on
integrals on this line previouslythey were for usubstitution, which
we did not get to, but which will be covered in Calc II)
http://archives.math.utk.edu/visual.calculus/4/integrals.2/index.html
(mult choice quizskip the substitution problems)
http://archives.math.utk.edu/visual.calculus/4/ftc.12/index.html
http://archives.math.utk.edu/visual.calculus/4/ftc.12/index.html
http://archives.math.utk.edu/visual.calculus/1/vertical.1/index.html
http://archives.math.utk.edu/visual.calculus/1/horizontal.3/index.html
http://archives.math.utk.edu/visual.calculus/2/quotient_rule.3/index.html
http://archives.math.utk.edu/visual.calculus/2/chain_rule.4/index.html
http://archives.math.utk.edu/visual.calculus/3/implicit.4/index.html
http://archives.math.utk.edu/visual.calculus/3/logdiff.1/index.html
max/min, derivatives
and graphing, identifying
functions and derivatives, L'Hopital's
drill 1, L'Hopital's
drill 2, antiderivatives,
and antiderivatives
with initial values.
You should also practice from the various drills listed for hour
test I, II, and III below.
It is too scary (and probably not even possible) to do every problem
from every drilljust do one or two from each drill, and note
which you are uncertain about, then go back and do a couple more of
that type. Do this as many times as you have time for
Another excellent source of study problems for the final is:
http://academics.smcvt.edu/jellismonaghan/calc1/homework.html#overview
I am in the process of updating these to the current edition, but
there shouldn't be many changesas usual, purple font indicates
updated material.
There will also be a "deltaepsilon" problem, of much the same
flavor as # 15  18 in section 2.4, a related rate problem (section
3.10), an
optimization problem, (section 4.7) a graphing problem (section 4.5) (factored derivatives will be
given), and a proof of the derivative of some log or trig function or its
inverse. These 5 questions will be worth more than the multiple
choice questions.
NO
GRAPHING CALCULATORS!!! You will be sent out of the exam until
you find a nongraphing calculator!
Note:
You
may have FOUR sheets of notes, front and back, as usual.
However, in addition, you may bring photocopies
of the flyleaves of your text (two pages
from the front of the book, four from the back) to use during the
test.

11/22/03 
Hour test
three postpractice Here are 10 problems for each of the nonproof
questions on the test. If you missed a question on the test, you
may recover one point on the test for each one of these problems you
complete correctly. You should anticipate problems VERY similar
to these on the final exam. DUE: Friday,
December 3.
1. Section 3.5 # 3544 all
2.
http://archives.math.utk.edu/visual.calculus/2/chain_rule.2/index.html
3. Section 3.7 # 1120
4. http://archives.math.utk.edu/visual.calculus/3/implicit.4/index.html
5. http://archives.math.utk.edu/visual.calculus/3/logdiff.1/index.html
6.
vc
max/min drill
7.
VC
MVT drill
8.
quiz
3
9.
quiz
1, (on #7 there as asymptotes at C and E so the function and its
derivatives do not exists there, also skip the 9th one since it has a confusing
wrong answer given)
10. Sec 3.10 # 8, 10, 12 (3 1/3
points each).

11/18/04 
A hint for
the Maple lab: Recall that sometimes if the solve command
doesn't give you an answer you can use, you can often get what you
need from the fsolve command on a specific interval. For
example, if you want to know where x^3 6*x+4=0, you can first plot
it, see roughly where it seems to cross the axis, and then use the
fsolve command on these intervals, as in: fsolve(x^3 6*x+4=0,
x=4..1); 
11/15/04 
The third hour
test will be on Wednesday, November 17 (this is a change from the date
given in the first day handout). The test will cover sections 3.33.8, 3.10, 4.14.3. The first
part will be similar, both in content and format, to the first hour
test (multiple choice). You should study from the tutorial
quizzes at:
Chapter
tests. There will be questions (proofs) for the derivatives
of the trig and inverse trig functions. Here are a some drills:
VC
Lhopital drill,
VC
Lhopital drill inf limits,
quiz
1, (on #7 there as asymptotes at C and E so the function and its
derivatives do not exists there, also skip the 9th one since it has a confusing
wrong answer given)
quiz
3
VC
1st deriv test drill
VC
MVT drill
vc
max/min drill
VC
tanlines drill,
VC
product rule egs,
VC
quotient rule egs,
http://archives.math.utk.edu/visual.calculus/2/chain_rule.4/index.html
http://archives.math.utk.edu/visual.calculus/3/implicit.4/index.html
http://archives.math.utk.edu/visual.calculus/3/logdiff.1/index.html 
11304 
I have the
first part of the population projects in my officeyou should pick
them up from me today or tomorrow to check your work before doing the
second part. NOTE: in the logistic curve part, a couple groups
did estimates just from the Mapletthis isn't sufficient, and
certainly isn't sufficient for the actual data part. You need to
use the Maplet to get M, B, and k, and then follow the example in the
handout to do the analysis. I will still accept corrections to
the first part if you come get it and fix it ASAP. 
102704 
PowerPoints
from the extra credit talk is at:
Mary Cox Talk Get the video from me. You should work
through at least one example of one of the games in your write up. 
10/20/04 
Here are some
Maplets that might be useful for the population project:
ExponentialGrowth.mws,
LimitedGrowth.mws,
LogisticGrowth.mws. 
10/19/04 
Extra
Credit Talk
Date:
Tuesday, October 26, 2004
Time:
3:30 � 4:30 pm
Location:
Jeanmarie 391, SMC Campus.
Title: The
Continued Fraction in Combinatorial Game Theory
Speaker:
Mary Cox, UVM.
Abstract: The
origin of continued fractions is traditionally placed at the time of
the creation of Euclid's Algorithm; in fact, continued fractions are
intimately related to Euclid's Algorithm. In the 19th Century, there
was an explosion of growth within this subject, with contributions by
Jacobi, Perron, Hermite, Gauss, Cauchy, and Stieljes. Since the
beginning of the 20th Century continued fractions have made their
appearance in other fields, including chaos theory, within computer
algorithms for computing rational approximations to real numbers,
solving indeterminate equations, and knot theory. Very recently,
continued fractions have also been used in the relatively young field
of combinatorial game theory.
In this
talk, we define the general and simple continued fraction, and give a
short demonstration of a traditional number theoretic use  solving
Pell's equation. We then outline the basics of combinatorial game
theory, and then demonstrate the use of continued fractions in this
area of mathematics by demonstrating the evaluation of a game of
Contorted Fractions.
This talk is
accessible to a general audience. 
10/18/04 
Reminder
you should be measuring your culture (I think it actually is a
yeast...) every day. This stuff is baker's yeast,
Saccaromyces cerevisiae. 
10/14/04 
The second hour
test, on Tuesday, October 19, will cover sections 2.6 through 3.2.
The first
part will be similar, both in content and format, to the first hour
test (multiple choice). You should study from the tutorial
quizzes at:
Chapter
tests. However, there isn't a very large selection there of
problems to practice on (although 3.2 is good)you should do as many of the
"drill" problems from the inclass demos as possible, since I
am likely to take problems from there for the test as well.
You should be able to compute the slope of the tangent line
(derivative) using the limit definition of the derivative. You
should be able to tell if a function is continuous and if it is
differentiable. You should also be able to sketch a graph of a
function and the tangent line at a point.
There is also an excellent Maple tutorgo to
tools/tutors/calcsingle variable/differentiation methods. Do A LOT
of practice with the product and quotient rules!
The second part of the test will ask you to prove one or more of
the differentiation rulesconstant multiple, power, sum, product,
quotient.
http://archives.math.utk.edu/visual.calculus/1/horizontal.3/index.html
Also do the examples in the inclass demos that will generate
different problems for you, for example at the bottom of http://archives.math.utk.edu/visual.calculus/2/definition.8/index.html
, and http://archives.math.utk.edu/visual.calculus/2/formulas.3/8.html
These are good for practicing using the limit definition to find
the derivative.

10/12/04 
EXTRA
CREDIT TALKS!
As
part of the President's Distinguished Lecture Series the
Departmentof Mathematics and Statistics is pleased to host Ronald
Graham.
He
will be speaking at
4:00pm Monday October 18th in Angell B106 on the
UVM campus.
A
reception will follow in Billing's Apse.
Dr.
Graham is the current president of the Mathematical Association of
America,past president of the American Mathematical Society, and of
the International Jugglers Association. He is in the Guinness Book of
World Records for the largest number ever used in a mathematical
proof,and in Ripley's Believe it or Not for his skills as a
trampolinist and juggler.
For
more details on Dr. Graham see:
http://www.math.ucsd.edu/~fan/ron/
Title: Searching for
the shortest network
Abstract: There are many situations in which one would like to connect
a collection of points together by a network having the minimum
possible total length. Such problems occur in the design of telephone
networks, railroad lines, oil and gas pipeline networks, heating and
airconditioning duct systems, the layout of VLSI chips, and the
inference of evolutionary pathways for living organisms, for example.
In this talk we give a summary of what is known (and unknown) about
this classical problem, and how current developments in computer
science have impacted it.
If
you only go to one math talk this year, this should be it!
There is also a second, earlier, talk:
Archimedes, Combinatorics and the
Stomachion
Professor Ron Graham
University of California at San Diego
Monday, October 18, 2004
2:303:20 PM
Room L200 Lafayette
Reception to follow in Billings Apse at 5:00pm
Abstract:
Greek mathematics has long been known for its fundamental
contributions to geometry and diophantine equations, for example
However, there is now evidence that ancient Greek mathematicians were
also interested in various combinatorial problems. In this talk, I
will describe some recent work exploring this theme which arose from
the analysis of a puzzle called the Stomachion, which was recently
discovered in a long lost manuscript of Archimedes. For
extra credit on the next test, attend one or both of the talks and
write about 2 or 3 paragraphs describing the talk. Noteif you
absolutely cannot make either of these talks, but would like to take
advantage of the extra credit, we have a videotape of one of Ron
Graham's lectures at the library, and you can base your write up on
that. Call Number: VTC 2421 to get
the video from the library.

10/12/04 
Midterm
Project. This will be handed out in class. You need to
read the whole thing, and then do the material in sections 3.1, 3.2,
and 3.3. Section 3.1 is due October 22. Section 3.2 is due
November 5. Section 3.3 is due November 19. Here is a link
to IntelPop:
http://simon.cs.vt.edu/geosim/IntlPop/IntlPop.html. Here is
a list of other population data links you may find useful:
http://www.census.gov/ipc/www/idbnew.html 
9/27/04 
The
link for the resources (eg tutorial quizes) that goes with our book
seems to have changed. I think this is the new link: Book
Resources 
9/27/04 
NOTE
NEW LOCATION FOR HELP SESSIONS: They will meet in STE 106
starting Wed, Sept. 29 (same times7:30 to 9:00 pm MTWTh). 
9/22/04 
From
George Ashline
I wish to bring to your attention that once again this year there
will be a conference for undergraduate students interested in
mathematics during the Spring semester. The twelfth annual Hudson
River Undergraduate Mathematics Conference (HRUMC)
will take place on Saturday,
April 30, 2005 at Williams
College in Williamstown, Massachusetts.
The keynote speaker will be Ken Ribet of UC Berkeley. In the past
several years, a contingent of students and faculty from St.
Michael's has gone to the HRUMC, and
several students and faculty members have
given presentations at previous conferences. For more information
about this meeting, you can check out the conference homepage at http://www.skidmore.edu/academics/mcs/hrumc.htm.
At this site, you can find details about last
year's conference which was held at Mount Holyoke College.
At the HRUMC, some talks are given on original research in
mathematics or a related field (done by students, faculty, or
jointly), while others are expositions of interesting work that has
been accomplished and discoveries that have been made in mathematics
(typically not discussed in regular course work). If you think that
you might be interested in giving a talk or attending the conference
to see what it's like, please let me
or anyone else in the mathematics department
know. If you'd like to get more information about this opportunity,
just email me back or stop by my office and I'd be happy to discuss
it more with you. I have copies of recent conference programs if
you'd like to get a feel for what the conference involves and the
type of talks given. I look forward to hearing back from some of you
about this opportunity. 
2/29/03 
The first
hour test is scheduled for Tuesday, September 28th. You may
use one page of notes, front and back, during the test. You
may also use a calculator on the testgraphing or nongraphing is
fine.
The first hour test will be very similar, both in content and
format, to the tutorial quizzes at: Chapter
tests. You will have to change the chapter in order to get
problems from chapter 2. However, there will also be a
"deltaepsilon" problem, of much the same flavor as # 19 
32 in section 2.4.
Some other good study problems: http://archives.math.utk.edu/visual.calculus/1/vertical.1/index.html
http://archives.math.utk.edu/visual.calculus/0/symmetry.5/
http://archives.math.utk.edu/visual.calculus/0/domain.1/index.html
http://archives.math.utk.edu/visual.calculus/0/shifting.7/index.html
http://archives.math.utk.edu/visual.calculus/0/shifting.4/index.html
http://archives.math.utk.edu/visual.calculus/0/compositions.4/index.html
http://archives.math.utk.edu/visual.calculus/0/shifting.5/index.html
http://archives.math.utk.edu/visual.calculus/0/shifting.5/index.html
http://archives.math.utk.edu/visual.calculus/1/limits.15/index.html
http://archives.math.utk.edu/visual.calculus/1/definition.8/index.html
http://archives.math.utk.edu/visual.calculus/1/definition.7/index.html
http://archives.math.utk.edu/visual.calculus/1/vertical.1/index.html
http://archives.math.utk.edu/visual.calculus/1/continuous.9/index.html
http://archives.math.utk.edu/visual.calculus/1/continuous.3/index.html
You should also spend some time with the graphical view at http://math.hws.edu/javamath/config_applets/EpsilonDelta.html
.
The test will cover sections 1.1 through 2.5, and assumes you
have a thorough mastery of the the appendix reviews. 
9/17/04 
Dear
Math Students,
On
Saturday, September 25 the Math Department will hold a very
special event � our own celebration
of the Centennial.
There
will be a talk, an honor society induction and a Career Panel � as
well as birthday cake to celebrate 100 years of Math at SMC.
A
number of Math alums are coming from far and wide to connect with
you, our current students � who will follow in their footsteps.
This
is a great opportunity to network with alums working in a variety of
areas (see below!) � and to learn about applications of math.
This
is really an exciting program that should be of special interest to
you let�s have a great turnout on September 25^{th!}
And
please invite your friends  and family if they are visiting.
Zsu
Kadas and the Math Faculty 
9/15/04 
Academic Internships!
Academic
interships are a great way for students to strengthen their r�sum�s,
increase their marketability and test the career waters.
The academic intership office holds informational meetings in
September for Spring internships and in January for Fall
internships. This semester�s meetings will be held on September
20, 21, 22, and 23 from 11:45 � 12:15 in Jeanmarie 376.
Joanne LaBrake is available in Klein 114, extension 2314 if
you have any questions.

9/13/04 
There will be
Help Sessions MonThu 7:30  9:00 pm in STE 334, starting Mon, Sept
13. Notethis
is in St. Eds, and NOT in the hall our class is in. 
9/9/04 
Notes from review session:
review9904.pdf,
review9904.xbk 
9/7/04 
There will be a trig review on
thursday, september 9 from 7 to 8 pm in JEM 364 (usual MWF
classroom). 
9/6/04 
Please redo the Calculus warmup
activity for Wednesday, Sept. 8. 
9/6/04 
There will be a Maple help session in
JEM 142 Monday, Sept 6 from 910 pm if you would like help with the
first lab. 
9/3/04 
http://www.cvfair.com/ A link to the fair! 
9/3/04

Note: Append. B, has been added to the homework due Friday
9/6/04.

9/1/04

Note: Append. A, 1337
odd, 4755 odd has been added to the homework due Friday 9/3/04.

8/31/04

Some of the interactive material in
the Visual Calculus modules uses ActiveMath, which does not work
under Internet explorer. There is a way to see/use the
activemath notebooks. To
start with, you need to be running under Netscape, not Internet
Explorer. If you don't have Netscape, you can down load it for
free here: http://www.netscape.com/download/
(choose the full install when prompted)
You also need the LiveMath Plugin for
netscape. You can download it free here: http://www.livemath.com/download/
(click on the icon for "Windows for Netscape based
browsers", assuming you are running some version of Windows).
You only need the freewareyou don't have to buy anything!
CAVEAT: This worked for me, but comes with no
guaranteesit may or may not work with the way your computer is
configured. The helpdesk does not in general support netscapeif
you have a problem, you can ask, and they may be able to help you, but
DO NOT hassle them if they can't. PLEASE, PLEASE: If
you happen to be one of the folks that is able to get this to
work, please, please share your resources with classmates you
may not be able to. Thank you!

8/27/04

You may order a personal copy of Maple 9.5 at a discounted price of
$75 if you wish: Secure ordering address: http://webstore.maplesoft.com
Promotion Code: AD1111

^{10/30/03}

Some career resources:
Lots
of people with exciting real jobs using Math,
More people using
Math, Job
Listing Services, Comprehensive
resources from SIAM, AWM
Career resource site.
The department has (in George's
office) a CDROM and videotape entitled Careers in
Mathematics created by three major professional societies of
mathematicians (AMS, MAA, and SIAM). He also has video tapes
of a panel and presentation by recent SMC math alums.
There is also this note from
George:
"This summer I have been in
contact with a number of St. Michael's mathematics alumni in a wide
variety of careers, in such areas as statistical data analysis,
actuarial consulting, software engineering and other
computerrelated fields, education (at the secondary and university
levels), and even flying (specifically as a USAF pilot).
These alumni are willing to be resource/contact people
representing a variety of careers. If
you wish to be in contact with an SMC alumnus from a particular
mathematicsrelated field, then let me know and I will try to
connect you with an appropriate person. I
recently have given a few of my advisees email addresses of
mathematics alumni who are pursuing careers in an area of interest
to them, and could do a similar service for any of you that are
interested."

9/11/02 
Note: Be
sure to click on "refresh" when you open these pages to be
sure you get the most current postings. 
1/10/02 
The postings on
this site have all been tested and all work. If you have any
difficulty getting material off this site, you can try any of the
following:
1. See if someone in your study group was able to print the
file you want and make a photocopy of it.
2. Try using one of the lab computers in case the problem is
with how your own computer is configured.
3. Using Explorer, right click on the link, select "save
target as", then save the file to your home computer. You
should be able to open and print it from there.
4. Contact Cynthia Kelley at 6542756 or ckelley2@smcvt.edu. She is the
person for website trouble shooting.

1/28/00 
Click Here for info on how to be notified
automatically of any new changes to this website (how to subscribe to the site). 
1/16/00 
The Student
Resource Center runs excellent workshops every semester on study skills, time management,
testtaking techniques, etc. For details: SRC study skills 
