Problem of the Week

2008-2009

 

BackgroundRules SubmissionsScoringProblems

This Week's Problem: More Sets

Deadline is November 27, 2008 at 1600.

Electronic submissions are preferred.

Current Leaders:
Results are posted at POTW Scoreboard!!

Results are current through Problem #8.

Overall: John Snyder (62pts)

Cadet: Tyler Wright (51pts)

Faculty: Amanda Beecher (12pts)

The Problem of the Week (POTW) is an activity of the United States Military Academy's Math Forum.  Once each week's problem is closed out, a new problem will be posted and the solution to the previous problem will be added at the end of this page.  The point of contact for the POTW contest is Dr. Lizz Moseman.



Background

The POTW is a program that exists in some form or variation at many of the top colleges and universities across the nation and around the world.  Each week, a new ... exciting ... and challenging problem will be posted to this homepage.  Interested cadets, faculty, and other individuals outside USMA are welcome and encouraged to participate. 


Rules of Engagement

The POTW contest will span the entire academic year at West Point, but "Top Guns" (winners) will be identified in three categories for each of the two semesters--Fall 08 and Spring 09, and prizes will be awarded to each. The categories are: 

(1) Top Cadet/Student
(2) Top Faculty Member
(3) Overall Winner (to include participants outside USMA via the world wide web)

All interested parties will have access to the problem at 16:00 hours (4 p.m. EST) on Thursday of Week "n" and will have until 16:00 on Thursday of Week "n+1" to present their solutions. 

The first problem will be posted 04 September 2008 and the final problem for the fall semester will be posted 04 December 2008 (a total of 15 problems). Shortly thereafter we will announce the Top Guns for the semester.  Details of the Spring semester will be forthcoming.

Tell your friends and acquaintances, both at USMA and outside the Academy, about the POTW and urge them to participate.  Good luck!  


Submission of solutions

Submit to :    

Dr. Lizz Moseman

How :    

As an attachment to an email(please make sure your name is in the attachment!)

With the subject line :    

WP POTW

Failure to follow these directions may result in your submission not making into the pile in the right order!


Scoring

Each problem will be worth a maximum of 10 points, with correctness, completeness and timeliness factoring into one's score.  The first correct and complete solution received will be awarded 10 points, the second will get 9 points, and so on.  Answers with no work are not complete solutions. The fifth correct respondent will receive 6 points, and each subsequent solution received before the deadline will receive a maximum of 5 points.  This permits respondents who are unable to get timely access to the problem for a given week to still remain competitive over the course of the term.  For Academy personnel:  no documentation is required, "Max Partial Credit" rules will be considered (within reason), and a response of "BEAT NAVY" or "BEAT AIR FORCE" will earn you the big "H-Bomb" (Hooah), but no points.  For participants outside USMA:  we welcome your participation and eagerly await the healthy competition!

Scores will be posted around Monday following the problem's closeout on the previous Thursday.  Check out your scores at the POTW Scoreboard

Current Problems

20 November, 2008: More Sets

06 November, 2008: Fibonacci Time

30 October, 2008: Shoes and Socks Solution by John Snyder

23 October, 2008: Playing Football Solution

16 October, 2008: Sets and Subsets Solution
    The correct answer, 946, was not found by any participant.

09 October, 2008: Doors in the Barracks Solution by Amanda Beecher

02 October, 2008: Borrowing Money Solution by CDT Caitlin Beal
    It looks like close to $100,000 can be borrowed with reasonable assumptions.

25 September, 2008: Objects in Space Solution by John Snyder

11 September, 2008: Soldiers in the Field Solution by CDT Michael Shepherd

04 September, 2008: Raising the Flag   Solution

     Unattributed solutions for the current problems are due to the coordinator, Lizz Moseman.


2007-2008 Problems


2006-2007 Problems