| OFF ON A TANGENT |
A Fortnightly Electronic Newsletter from the Hope
College Department of Mathematics
|
| October 8, 2003 |
Vol. 2, No. 3
|
Here's what is coming up in the
next fortnight
Information about the following events and more appears
in today's newsletter:
- Wednesday, October 8:
MATH Challenge practice session at 3:00 p.m. in VWF 203.
- Thursday,
October 9: Colloquium at 4:00 p.m. in VWF 104.
- Friday,
October 10: Last day to sign up for the Math Challenge and
the Putnam Exam.
- Wednesday, October 15: Last
day to sign up for Mathematical Jeopardy!
- Thursday,
October 16: Mathematical Jeopardy! at 4:00 p.m. in VWF 102.
- Friday,
October 17: Problem of the Fortnight due by 3:00
p.m.
- Friday,
October 17: Hope Research Celebration 4:00 - 7:00 p.m.
$100 for 100 digits colloquium to be
presented
This week's colloquium is titled "What I (Re)-Learned From the
100-Digit Challenge." It will be presented by Professor Aaron
Cinzori on Thursday, October 9 at 4:00 p.m. in VWF 104. In this
colloquium, Prof. Cinzori will explain how he along with a team of
mathematics and engineering faculty here at Hope could not resist a
deal to earn $100 for solving 10 math problems in a competition with
teams from all over the world in the 100-Dollar 100-Digit
Challenge. Most of the problems are stated simply and
involve integration, matrix calculations, minimization, probability, or
geometry. He will look at a few of the problems and their
solutions as well as discuss problem solving in general. He
will also give reasons why taking Numerical Analysis (offered next
semester) can be useful. The colloquium is appropriate for students in
Math 132 or higher.
Let's play Mathematical Jeopardy!
It is the ratio of the circumference of any circle
to its diameter.
The original streaker, he is famous for is running
naked through the streets of Syracuse yelling Eureka! Eureka! This
is the reason that 6 is afraid of 7. If you know the questions
that go with these answers, then we have a
colloquium for you. The mathematics department will conduct a
Mathematical Jeopardy competition on Thursday, October 16 at 4:00 p.m.
in VWF 102. All interested students are encouraged to
participate. Entry is free and there will be prizes for the
winning team! Sign-up on Professor Stephenson’s door (VWF 210) by
Wednesday, October 15:
- You can sign up as a complete team (4 students or
less). Include the names of all team members and a team
name. (You must make up a team name, or we will choose one for
you.) Teams consisting
of a group of students in the same mathematics class are
encouraged.
Show that your math class is the best!
- You can also sign up individually, and we will put you on a team.
- We may have room for some additional participants on a walk-in
basis on the day of the contest, but sign up ahead of time by October
15th to assure a spot.
- This contest is open to everyone – students at all
mathematical levels are encouraged to participate. Questions will
be chosen from a broad range of topics, including films and history.
- If you choose not to participate, you can still come
and watch. Pizza will be provided after the contest.
The questions for the answers given
at the beginning of this article are, of course, What is pi? Who is Archimedes? and What
is because 7, 8, 9? To see a revealing picture of a statue
commemorating the "Streak of Archimedes" visit http://pmsa.courtauld.ac.uk/../images/nrpMR/MRMCR321.jpg.
Problem Solvers of the Fortnight
Well, the Cubbies have done it, defying the odds and years of
futility and failure. They’ve not only won the division, but are now
playing the Florida Marlins for the right to go to the World Series for
the first time in 58 years.
So just what were those odds against the Cubs winning the division
over the Astros? While no completely correct solution was given,
Vishnu
Desaraju and Leticia Grandia both gave solutions within a fraction of a
percent of the correct answer of 38.11%. Congratulations to both
students. Prizes can be collected from Dr. Catalano in Vanderwerf
209.
The Problem of the Fortnight
A finite number of circles divide the plane into a number of regions
and thus define a map in which the border of each country consists of a
finite number of arcs of circles. How many colors are needed to color
such a map?
Write your solution on the back two World Series tickets and deliver
them to Dr. Pearson personally, or put it on paper and drop it in the
Problem of the Fortnight slot outside Dr. Pearson's office (VWF 212) by
3:00 p.m. on Friday, October 17.
Fall break browsing
How time flies! Fall Break is just around the corner, and soon
you'll be wallowing in unscheduled time. In between naps you
might enjoy browsing some "recreational math" sites on the internet.
Here are a couple recommendations:
- A fortnight ago we introduced you to Penrose tilings. Now
let us introduce "Bob," a Penrose tiling generator that lets you play
with these fascinating objects. To meet "Bob" visit http://www.stephencollins.net/penrose.
- Can't squeeze in a fishing trip this break? No
problem! The Rubik's site http://www.rubiks.com
has an Angler's Puzzle that's a lot of fun and many other interesting
mathematical games as well.
Sign up for the Putnam Exam by this Friday
The William Lowell Putnam Mathematical Competition, administered by the
Mathematical Association of America, is the most prestigious
mathematical competition for undergraduates in the nation. If
you are interested in taking the 64th Annual Wm. Lowell
Putnam Exam, you must SIGN UP by Friday, Oct. 10, 2003. (That's BEFORE
you leave for fall break!) There is a sign up sheet on Prof.
Stoughton's office door (VWF 215). You may also e-mail him, but
again
it MUST be before Friday, Oct. 10. The
DATE of the exam is Saturday, December 6, 2003. There
is both a morning and an afternoon session of this exam; lunch will be
provided by the mathematics department during the break. For more
information about the Putnam Exam visit http://math.scu.edu/putnam/.
For questions and solutions from past exams visit
http://www.kalva.demon.co.uk/putnam.html.
This Friday
is also the deadline to
sign up for the Michigan Autumn Take Home Challenge
The 2003 Michigan Autumn Take Home
Challenge (or MATH Challenge) will
take place from 9:30 a.m. to 12:30 p.m. on Saturday, November 1 this
year. Teams of two or three students take a three-hour exam
consisting of ten
interesting problems dealing with topics and concepts found in the
undergraduate mathematics curriculum. Hope students take the exam
here on campus under the supervision of a Prof. Cinzori. Hope has
finished third in the competition the last three years and finished
first in 1997. For more details about the competition visit http://www.mcs.alma.edu/mathchallenge/.
A practice session for the MATH Challenge will take place today,
Wednesday, October 8 at 3:00 p.m. in VWF 203. If you plan to
participate, you need to sign up by this Friday, October 10. You
can do so by e-mailing Prof. Cinzori at cinzori@hope.edu.
The Annual Undergraduate Research
Celebration is coming
Hope's 3rd Annual Undergraduate Research Celebration is being held
this year on Friday, October 17 (4:00 - 7:00 p.m.) in the new Science
Center. This is a great opportunity to see all the different
types of research that are being done by Hope students. If you
are at all interested or curious about student research at Hope
College, this event is a must see.
Going to graduate school?
Research fellowships are available
Applications for the 2004 competition of the
National Science Foundation (NSF) Graduate Research Fellowship Program
are now available. Fellowships are awarded for graduate study
leading
to research-based
master's or doctoral degrees in the fields of science, mathematics, and
engineering. Stipend and allowances for this program are very
generous
and include: $27,500 stipend for twelve-month tenure; cost-of-education
allowance of $10,500 per tenure year; and a one-time $1,000
International Research
Travel Allowance.
All applications for the 2004 competition are required to apply
electronically using NSF's FastLane process available at http://www.fastlane.nsf.gov.
The Guidelines for submission of applications, which includes
instructions and deadline information, are available electronically at
the web site. The website to get additional information and
access the electronic application is: http://www.orau.org/nsf/nsffel.htm.
Application deadlines vary by the field of study, but all are during
the first week of November.
Michigan Undergraduate
Mathematics Conference coming this month
The Michigan
Undergraduate
Mathematics Conference
will be held on Saturday, October 25 at the Grand Rapids campus of
GVSU. This is a
great opportunity to hear student research talks and get information
about jobs and graduate schools. You will also get a chance to
see Professors Andersen and Pennings, among other celebrity
mathematicians, participate in a Hollywood Equilateral Rhombi
game. You can even be a contestant yourself! For more
information about this event or if you are
interested in going, contact Professor Janet Andersen at
jandersen@hope.edu. For more details visit http://www.gvsu.edu/math/mumc.html.
Math Problems? Call 1-800-[(10x)(13i)2]-[sin(xy)/2.362x].