2005 Harvard-MIT Mathematics Tournament
Registration Form

School Information
(if you are not registering as a school, leave this section blank)

School Name Street Address
City	State	Zip Code
Country

School Office Telephone
We ask for this information so that, if necessary, we can contact the school while you are traveling to the HMMT or are otherwise unavailable.

Contact Information

Title

First Name

Last Name *

Contact is:

A Teacher	A Student	A Parent
Other (please specify)

Daytime Telephone

Area Code (include country code if not US)

Telephone Number   *

Evening Telephone

Area Code (include country code if not US)

Telephone Number

Contact Email
*

Student Information

Note: You may update this information until February 1, 2005. Do not delay registration if the number of students is not yet final. See our registration policy for more information. You will receive notification of allotted teams by email by the end of December as well as more detailed payment instructions. Please wait until this confimation email before paying. Please make all payments to "Harvard-MIT Mathematics Tournament," at the following address:

Harvard-MIT Mathematics Tournament
c/o Timothy Abbott
290 Massachusetts Avenue
Cambridge, MA 02139

Total Number of Students
*

Team Information. Include each team on a separate line with the number of students in each, as well as the division the team. This year we are having two divisions, intended to choose your student's difficulty level. Division A will be similar to previous year's team rounds, where we expect proofs to back up solutions. Division B will require less rigor in your solutions. You may submit as many teams of 8 students as you wish, but at most two teams should be listed as division A. We will do our best to fill incomplete teams with students from other schools. If you do not wish an incomplete team to be filled, please indicate this.

Student Names. Include each student on a separate line with his or her team name and the Individual Round test(s) that he or she chooses to take. A student may choose to take two of the four Subject Tests (Algebra, Calculus, Combinatorics, and Geometry), or the General Test (which is as long as two Subject Tests put together). Click here for an explanation of the Individual Round. The General Test is easier than the Subject Tests, and thus it is worth 80% as many points for a school's sweepstakes score.

Proctor Information. Please include a list of proctors you can bring as well as their email addresses. Proctors play an important role in the team round so we can use as many available chaperones/parents. Proctors will only receive 2-3 emails from us.

Survey

Please take the time to fill out this survey. We are relying on the responses we receive so that we may best serve the interests of the teams attending.

Survey Question #1: Mini-Events

In addition to the tests described here, we will have a number of mini-events from which students can choose. As we would like to create events that will appeal as much to our participants as possible, we are soliciting your input on the matter. If any students would like to make their views known about what sorts of events they would like, they may e-mail hmmt-register@mit.edu with suggestions.

The possible events are listed below. Please rank as many events as you would like ("1" = first choice, "2" = second choice, and so on. Please mark a " * " next to the rank of an event about which your students are especially excited, and mark an " X " next to the rank of an event that most of your students would not enjoy.) Keep in mind that students will only have time to participate one of these events. Please read our descriptions of these events before ranking them:

Buzz.  This is a well-known math game. A group of participants stand in a circle and must count, one by one, from 1 (or some other predetermined integer) upwards as high as they can go. The catch: upon reaching a number with a certain property (say, being divisible by 7, or containing a 7 as a digit), the person who would otherwise say that number must instead say "Buzz," or some other word. Additional rules are added each time around the circle... for example, one might have to say, "Pforzheimer," for numbers with an even number of distinct prime factors. Make a mistake, and you're out (though new games will form continually). As more rules are added, the game devolves into madness... only one will survive.

Relays.  This is a perennial favorite at a number of other math competitions, such as ARML and NYSML. Small teams of three or four students are seated one in front of the other (we encourage students from different schools to form small teams on the spur of the moment). Each team member receives one problem, each of which -- save the first problem -- requires the answer to the previous problem in order to complete it. Upon solving the problem, the student hands his or her answer back to the next student on the team -- and the final student, on completion of his or her problem, stands up and submits the answer. There is to be NO COMMUNICATION between team members other than the passing of answers in the proper direction (from front to back). Sample relays can be found at http://www.arml.com/rlyq.htm Note: in these problems, "TNYWR" means "The Number that You Will Receive (from your teammate)."

Informal Lectures/Discussions.  MIT and Harvard profs and HMMT staffers give short lectures and field questions about everything from math competition strategies, to age-old mathematical puzzles, to current areas of mathematical research.

Rubik's Cube.  The classic puzzle. We will hold races, keep records of best times, and usher the clueless along the path towards enlightenment... or at least towards solving the Cube.

Logic Puzzles.  Participants will grapple with an ample stack of not-quite-mathematical puzzles requiring deductive skills. Teams compete to solve as many puzzles as possible. Puzzles will be similar to those at http://wpc.puzzles.com/practice/index.htm.

Games of Tenuous Cooperation.  The Prisoner's Dilemma is a strategic game of great theoretical importance to economists, sociologists, and ethicists. Match your wits against fellow students as you cooperate and deceive. Check http://plato.stanford.edu/entries/prisoner-dilemma/ for an excellent introduction to this game. "So Long, Sucker!" was invented (though under a more ribald name) by John Nash and several of his friends as grad students. As the name implies, the game involves forming ephemeral coalitions with your opponents. http://www.lucs.lu.se/Courses/Spel/Parlor/Sucker.html has an introduction to the rules of the game.

Combinatorial Games.  Play these board games and discuss winning strategies. http://markov.math.msu.ru/~pentus/abacus.htm is a Java applet of the Chomp game (play a few times, and you should be able to guess the rules), http://www.wikipedia.org/wiki/Game_of_Hex provides an explanation of Hex and a link to a Java applet, and a description of Philosopher's Football (aka "Phutball") is at http://www.wikipedia.org/wiki/Phutball.

Rigor Mortis.  Teams face a sequence of fallacious mathematical proofs. Compete to find as many errors as you can.

Campus Tours.  Get a tour of the institute from our perspective.

Please rank these events:

Buzz
Relays
Informal Lectures/Discussions
Rubik's Cube
Logic Puzzles
Games of Tenuous Cooperation
Combinatorial Games
Rigor Mortis
Tour of MIT's Campus

Comments about the above events, suggestions for other Events:

2) HMMT School Networking Program

For the benefit of schools and student groups that have never participated in the HMMT before, we have the HMMT School Networking Program. We will match up groups that have participated in the HMMT in previous years with groups that have never attended the Tournament. Upon matching up groups, we will send contact information between them. The Networking Program requires no other commitment on the part of schools other than a willingness to help out and answer questions for another school. We encourage all to participate!

Please describe your situation:

How many times has your group attended HMMT?

Requests/comments regarding the Networking Program:

Terms of Registration and Participation

Before submitting, you must agree to the Terms of Registration and Participation. Please inform all students, parents, and teachers of these Terms:

1) Refund Policy.  We agree to refund $10 per cancellation up until February 1, 2005. This is the entire cost of registration for a student (minus any late fees, if applicable).

2) Cheating.

i) Any student who is caught cheating on the Individual Round will not be eligible for any awards, and may not participate in any competition events for the remainder of the day. In addition, that student's team will not be eligible for team awards (Team Round, Guts Round, Sweepstakes). Other teams from the cheater's school will not be affected by this policy.

ii) Any team that is found to have obtained prior knowledge of problems or answers for any of the examinations will be barred from all competition events and may not receive any awards.

iii) No refunds will be issued if a student and/or team is barred from events on the basis of cheating.

3) Judging & Protests.  HMMT will receive protest motions if a participant believes a problem to be flawed. Protests for the Team or Individual Rounds should be made at the beginning of the lunch break. Guts Round protests should be made immediately after the Guts Round. The judgment of the HMMT staff on all protests and awards decisions is final.

4) Eligibility.  All participants certify that they are currently pursuing a secondary school plan of study and are not twenty years of age by February 1, 2005. Students in thirteen-year secondary school programs are welcome to participate, provided that they fulfill the age limit. The HMMT staff may grant exceptions to this rule in extraordinary circumstances.

5) Disclaimer of Responsibility for Students.  HMMT bears no responsibility for the safety of its participants during the Tournament. HMMT cannot at any time ensure that students are under the guidance of an adult chaperone. By consenting to send their children to HMMT, parents recognize that HMMT is in no way acting in loco parentis for their children.

By checking this box, I agree to the above Terms of Registration and Participation, and I vouch that all students whom I have registered for the HMMT, their respective parents and/or legal guardians, as well as any school faculty who may be sponsoring their participation in the HMMT, also agree to these Terms.   *