New Final Exam date and location:
1:00 to 3:30, Tuesday, December 14, in JEM 376 (a comfortable seminar
exam will be from 9:00 to 11:30 on Monday, December 13. Class
will meet at Libby's at 8:45 on Friday, December 10, to discuss the
revisions: On Friday, Nov 12, please bring to class your
individual problems to turn into me, and a photocopy of them to keep
for yourself. We will put these problems up on the board.
Over the weekend, please collaborate with one another to write up ALL
of the problems beautifully. On Monday, Nov 15, please turn in
these beautiful write ups, together with the problems from the
information and due dates here: RSA CODE.
Here are directions for connecting to Maple from your room:
from the required talk is at:
Mary Cox Talk
Get the video from me.
Date: Tuesday, October
Time: 3:30 – 4:30 pm
Location: Jeanmarie 391, SMC Campus.
Continued Fraction in Combinatorial Game Theory
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.
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
This talk is
accessible to a general audience.
part of the President's Distinguished Lecture Series the
Departmentof Mathematics and Statistics is pleased to host Ronald
will be speaking at
4:00pm Monday October 18th in Angell B106 on the
reception will follow in Billing's Apse.
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.
more details on Dr. Graham see:
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
air-conditioning 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.
you only go to one math talk this year, this should be it!
There is also a second, earlier, talk:
Archimedes, Combinatorics and the
Professor Ron Graham
University of California at San Diego
Monday, October 18, 2004
Room L200 Lafayette
Reception to follow in Billings Apse at 5:00pm
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.
extra credit on the next test, attend one or both of the talks and
write about 2 or 3 paragraphs describing the talk.
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.
1. Redo the
using the theory you have learned as well as your own intelligence. You may discuss these with one another as much as
you like (in fact I strongly recommend this), however, each person must do their own write-up!!
2. Prepare Study Sheets for chapters 0 through
6. You will be able to use these on the Final Exam (although not on the
Midterm), so the more
thorough, the better. They should include all theorems and
definitions, with small examples attached to help you understand what is being said. There is no page limit here, but if
it is longer than 3 or 4 pages, you might want to come up with a system to
let yourself find things easily during a test.
3. Write up the following exercises beautifully--presentation
and clarity count! pg 89-92, numbers 18, 24, 26, 32.
pg 169-171 numbers 2, 6, 48, 52 (need that n>2). You must work entirely on your own--no collaborating or
discussing these problems in any way with anyone other than myself.
Take home part is due October 20 at the
beginning of class.
Inclass part: This will consist of true/false from the
Gallian website, or very similar, (to check your understanding of
the theory), as well as basic computation examples. Eg you should be
able to find (quickly) gdcs, lcms,
s and t for linear combinations, orders of various elements in various groups,
subgroup lattices, permutations (multiply, invert, write as transpositions,
find orders, know Sn and An), group tables.
This portion is really to see that you are adept at the basic computation
necessary to work small examples. The inclass
test will be on Wednesday
agreed to do the exercise at the bottom of chapters 3 and 4 at: http://www.mapleapps.com/powertools/abstractalgebra/abstractalgebra.shtml
(due wednesday Oct 6) Also here are some examples of using
Maple to multiply permuations:
agreed to do the exercise at the bottom of chapter 2 at: http://www.mapleapps.com/powertools/abstractalgebra/abstractalgebra.shtml
Competition will be held this year (as every year) on the first
Saturday in December, and we are looking for students interested in
possibly being a part of the competition. See Lloyd Simons if
you would like to participate.
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 e-mail 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.
Saturday, September 25 the Math Department will hold a very
special event – our own celebration
of the Centennial.
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.
number of Math alums are coming from far and wide to connect with
you, our current students – who will follow in their footsteps.
is a great opportunity to network with alums working in a variety of
areas (see below!) – and to learn about applications of math.
is really an exciting program that should be of special interest to
you --let’s have a great turnout on September 25th!
please invite your friends -- and family if they are visiting.
Kadas and the Math Faculty
interships are a great way for students to strengthen their résumés,
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.
A link to the fair!
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: AD1118
Some career resources:
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
CD-ROM 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 computer-related 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
mathematics-related 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 e-mail 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."
A note from math dept chair Jim
back and hello,
many years we've run math help sessions at night. These
provide a chance for students in calculus
classes, or in the 101 and 102 classes, to get somy
help with their material on a drop-in basis. These
sessions are staffed by students, so this is where you come in!
you interested in working one or two? We always
pair people up, so you won't be
lonely, and we get many people who have done it before that come back again, so it must be fun. If you have had through
Calc III, and would be interested in making a little extra money (I am
told, about $7-$8 per hour), working one or two nights in a one-on-one or small group setting, then I'd like
to hear from you. Tell
me what classes you've had, please, and what
nights you could work.
we are looking for folks who might be interested in grading homeworks or quizzes. You work
with a faculty member, again in conjunction with a calculus, or 101, or 102
class. You will be grading quizzes or homework
papers, following the instructions of the course instructor. If you are interested in this, please also write and
tell me which classes you've had.
Jim Hefferon. firstname.lastname@example.org
Be sure to click 'refresh' when you visit this site to
be sure you get the most recent changes.
The Student Resource Center runs
excellent workshops every semester on study skills, time management,
test-taking techniques, etc. For details: SRC study
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
654-2756 or email@example.com.
She is the person for website trouble shooting.