April
2008 problem: PDF, LaTeX
The winning solution: PDF.
The winner for April competition is
Zach Clawson who was the first to submit a correct solution. Correct solutions were also submitted by
Chris Webster, Jeffery Jacobs and Paul Narula. Paul suggested a web-site with more information about this Look-and-Say-Sequence.
The contest takes a break for the summer. Have a good time!
March
2008 problem PDF, LaTeX
The winner for March competition is
James Holbert, who was the first to submit a correct solution. A correct solution was also submitted by Zach Clawson.
(Click on the names of these students, to see their solutions.)
February
2008 problem PDF, LaTeX
Solution PDF, LaTeX
The winner for February competition is
Zach Clawson, who was the first to submit a correct solution. A correct solution was also submitted by James Holbert. The submitted solutions are probabilistic incarnations of an elementary solution posted by the coordinator.
January
2008 problem PDF, LaTeX
Solution PDF, LaTeX
The only complete and correct solution was submitted by our allum (class of '05) John O'Dowd . Although he can not be an official winner by our rules, I thank and congratulate him informally.
December
2007 problem PDF, LaTeX
None of the submissions contained a complete and correct solution. I keep
the same problem for January with a hint!
November
2007 problem PDF, LaTeX
Solution PDF, LaTeX
There are two winners for November competition: Adam Nock and Andrew Stout .
October
2007 problem PDF, LaTeX
Solution PDF, LaTeX
None of the submissions contained a complete and correct solution, so there is no winners this time.
September
2007 problem PDF, LaTeX
Solution PDF, LaTeX
Kelsey Hawkins was first to submit a correct solution and is the winner of this month competition. A correct solution was also submitted by
Andrew Stout.
March 2007 problem PDF,
LaTeX
I received correct solutions for both March 2007 and February 2007 from our former graduate student Brent Dozier (Ph.D. 2005), almost a year the problems were posted. Although he can not be an official winner by our rules, I thank and congratulate him informally and post his solutions:
February 2007 solution, March 2007 solution.
February 2007 problem PDF, LaTeX
No students solved this problem. I have moved it to March together with
a new interesting problem. Try it!
January 2007 problem PDF, LaTeX
January 2007 winner: Mr. Andrew Stout, who was the first with a
solution.
November 2006 problem PDF, LaTeX
November 2006: there were no correct solutions to the problem. I keep
the same problem for January with a hint! Go ahead and solve the
problem.
October 2006 problem PDF, LaTeX
October 2006 winner: Mr. Dhrumil Patel, who was the first with a
correct solution.
September 2006 problem PDF, LaTeX
September 2006 winner: Mr. Josh Warren, who was the first with a
correct solution.
April 2006 problem PDF,
LaTeX
April 2006 winner: Mr. Ralph Abbey, the only eligible student
who submitted correct solution.
I am posting a shorter solution submitted by our
alumnus Edward Rowe: PDF LaTeX
The contest takes a break until the start of the Fall semester. Have a
great summer!
March 2006 problem PDF,
LaTeX
March 2006 winner: Mr. Paul Smith
submitted the only correct solution.
I am posting a shorter solution from the book:
PDF LaTeX
February 2006 problem PDF,
LaTeX
February 2006 winner: Mr. Travis Tomlinson
The winner was determined based on the earliest correct submission. A
correct solution was also submitted by Edward Rowe
Solution (compiled by the coordinator from
the two correct submissions): PDF
LaTeX
January 2006 problem PDF, LaTeX
I received one incorrect solution from
an undergraduate student, and one correct solution from a graduate
student. So there is no winners this time.
Textbook solution: PDF LaTeX
December 2005 problem PDF, LaTeX
December 2005 winner: Mr. Travis Tomlinson
The winner was determined based on the earliest correct submission. A
correct solution was also submitted by Mr. Jimmy Holbert.
Solution (compiled by the coordinator from
the two correct submissions): PDF
LaTeX
November 2005 problem PDF, LaTeX
November 2005 winner: Mr. Travis Tomlinson
Winning solution: PDF LaTeX from the winner identified
above.
The winner was determined based on the
earliest correct submission. A correct solution was also submitted by
Mr. Jimmy Holbert.
October 2005 problem PDF,
LaTeX
October 2005 winner: Mr. Travis Tomlinson
Winning solution (with minor editing): PDF LaTeX from the winner identified
above.
The winner was determined based on the
earliest correct submission. Correct solution was also submitted by Mr.
Jimmy Holbert.
September 2005 problem PDF,
LaTeX
September 2005 winner: Mr. Travis Tomlinson
Winning solution : PDF
LaTeX from the winner
identified above.
The winner was determined based on the
earliest correct submission. Correct solutions were also submitted by
Mr. Ralph Abbey, Mr. Vincent Bannester and Ms. Jennifer Halweil.
May 2005 problem PDF, LaTeX
April 2005 problem PDF, LaTeX
April 2005 winner: Mr. Brian Pike
Winning solution: PDF LaTeX
I have received just one correct
submission - from the winner identified above.
March 2005 problem PDF, LaTeX
March 2005 winner: Mr. Brian Pike
Winning solution: PDF LaTeX
I have received several correct
submissions. As always in these situations, the winner was determined
based on the earliest submission. Regarding the actual winning solution
posted above, I am pretty sure that the required factorization could
have been achieved without using Maple. This is mathematics, after
all...
February 2005 problem PDF, LaTeX
February 2005 winner: Mr. Brian Pike
Winning solution: PDF LaTeX
I have received several correct
submissions. As always in these situations, the winner was determined
based on the earliest submission. I apologize for being a little late
with psoting the March problem.
January 2005 problem PDF, LaTeX
January 2005 winner: Mr. Brian Pike
Winning solution: PDF LaTeX
Textbook solution: PDF LaTeX
January is a slow month, there was only
one correct submission, which is posted above. Along with the actual
winning solution by Mr. Pike, I am posting another solution, which is
shorter.
December 2004 problem PDF, LaTeX
December 2004 winner: Not declared
Solution: PDF, LaTeX
This month the activity was low
(holidays?), I have received only one submission that, unfortunately,
did not contain a correct argument. Therefore, I am not declaring a
winner for December, but you may still win in January...
November 2004 problem PDF, LaTeX
November 2004 winner: Mr. Brian Pike
Winning solution: PDF, LaTeX
As last month, I have received a number
of submissions, and the winner, as always, was determined based on the
earliest submission. This is becoming a race against the clock...
October 2004 problem PDF, LaTeX
October 2004 winner: Mr. Jeff Gaither
Winning solution: PDF
Textbook solution: PDF LaTeX
I have received several submissions and
the winner was determined based on the earliest submission. Along with
the actual winning solution by Mr. Gaither, I am posting another
solution, which is considerably shorter.
September 2004 problem PDF, LaTeX
September 2004 winner: Mr. Jeff Gaither
Condensed winning solution: PDF LaTeX
I have received several correct
submissions. As always in such cases, the winner was determined on the
basis of the earliest submission. As the actual winning solution
contained a very detailed lengthy argument, I am posting its shortened
version.
May 2004 problem PDF, LaTeX
May 2004 winner: Mr. Brian Pike
Winning solution: PDF LaTeX
There will be a recess for the summer. No
contest problems will be posted for the months of June, July, and
August. The constest will resume in September 2004.
April 2004 problem PDF, LaTeX
April 2004 winner: Mr. Jason DeVito
Winning solution: PDF
Comments from the coordinator: I have received only one
submission this month
that did contain the winning solution. I have taken the liberty to
correct this solution slightly before posting, to compensate for the
apparent problems with e-mail transmission.
March 2004 problem PDF, LaTeX
March 2004 winner: Mr. Paul Smith
Winning solution: PDF
Textbook solution: PDF
Comments from the coordinator: I have received a number of
submissions that conatined correct arguments. The winner was determined
on the basis of the earliest submission. The winning solution is posted
here along with what I refer to as the textbook solution, which happens
to be much shorter.
February 2004 problem PDF, LaTeX
February 2004 winner: Mr. Jeffrey
Gaither
Winning solution: PDF
Textbook solution: PDF
Comments from the coordinator: I have received only one
submission which has
been determined to qualify as a correct solution. It still contains
though some
intuitive arguments as far as properties of functions judged through
the behavior of their derivatives. Therefore, in addition to the actual winning
solution, I also
provide another solution, which is short and yet rigorous.
January 2004 problem PDF, LaTeX
January 2004 winner: Mr. Paul Smith
Winning solution: PDF
Comments from the coordinator: I have received three
submissions altogether and and each one contained a correct solution!
The winner was determined on the basis of the earliest submission.
December 2003 problem PDF, LaTeX
December 2003 winner: Not declared
Correct solution: PDF
Comments from the coordinator: I have received two
submissions that contained
discussion on convergence of the sequence $x_n=\cos(x_{n-1})$. This
discussion may potentially lead to a correct proof, provided that the
convergence is established rigorously. However, my determination is
that the arguments in either of the submissions did not qualify as the
full proof.
November 2003 problem PDF, LaTeX
November 2003 winner: Mr. John Deszyck
Winning solution: PDF
Comments from the coordinator: I received several
submissions that did contain
some correct thoughts but have stopped a little short of a full-blown
correct solution. I have also received a more comprehensive solution
that was submitted later than the winning solution posted here. Enjoy
the next month problem and have Happy Holidays!
October 2003 problem PDF, LaTeX
October 2003 winner: Mr. Paul Smith
Winning solution: PDF
Comments from the coordinator: Quite amazingly, the winning
solution was submitted just several hours after the problem was posted.
The next solution, which also was correct, was submitted by the
previous month winner three hours later. The race is getting tight :-).
I know of a different correct solution, not the same as the winning
solution posted here.
September 2003 problem PDF, LaTeX
September 2003 winner: Mr. Brian Pike
Winning solution: PDF, LaTeX
Comments from the coordinator: PDF, LaTeX
January 2003 Problem PDF