ÌÇÐÄ´«Ã½œA math marathon.ÌÇÐÄ´«Ã½�
ThatÌÇÐÄ´«Ã½™s how Dan Geba, an associate professor of , describes the the preeminent undergraduate mathematics competition in North America.
During the first Saturday in December, more than 4,160 students from 568 colleges across the United States and CanadaÌÇÐÄ´«Ã½”including 15 students from the University of RochesterÌÇÐÄ´«Ã½”took the Putnam exam, one of the most challenging math tests in the world.
The UniversityÌÇÐÄ´«Ã½™s team recently found out they placed 15th out of 415 registered teams in the 2016 competition, placing them in the elite top 4 percent of competitors.
The Putnam exam consists of 12 problems that competitors must complete during two three-hour sessions. Each of the 12 problems is worth 10 points, and partial credit is awarded.
ÌÇÐÄ´«Ã½œThis a very hard, very grueling competition,ÌÇÐÄ´«Ã½� Geba says. ÌÇÐÄ´«Ã½œTo be able to solve even one problem is a big accomplishment.ÌÇÐÄ´«Ã½�
The problems are so difficult that the median score is often zero out of a possible 120 points, and some problems even inspire research papers.
ÌÇÐÄ´«Ã½œThe Putnam is an interesting test no matter how many problems you can solve,ÌÇÐÄ´«Ã½� says Dan Rubery ÌÇÐÄ´«Ã½™17, who took the exam and will begin a job with Google after graduation. ÌÇÐÄ´«Ã½œI typically end up chewing on a few of the problems for months after the exam.ÌÇÐÄ´«Ã½�
Any student may take the exam, but the schoolÌÇÐÄ´«Ã½™s official team consists of three individuals who are designated in advance. The team score is the sum of the ranks of these three individuals. This yearÌÇÐÄ´«Ã½™s team members were Rubery, David Fink ÌÇÐÄ´«Ã½™17, and Zachary Polansky ÌÇÐÄ´«Ã½™19.
Polansky, the highest-scoring member of the University team, received a score of 65ÌÇÐÄ´«Ã½”meaning he solved six and a half problems correctly. He was ranked 52nd out of 4,164 participants in the individual competition. Rubery, along with four other Rochester students who took the exam, also placed in the top 500.
ÌÇÐÄ´«Ã½œYou put yourself in a very elite group by being in the top 500,ÌÇÐÄ´«Ã½� Geba says.
While the problems are tough, they typically only require basic college mathematics, rewarding competitors who can use what they know creatively to get to the core of a problem.
ÌÇÐÄ´«Ã½œThese problems are hard, but if you are able to think about a problem in a very unorthodox way, it can be solved in a relatively short amount of time,ÌÇÐÄ´«Ã½� Geba says. ÌÇÐÄ´«Ã½œIf you really want to be competitive in this contest, you need to have a wealth of mathematical ideas so that when you see a problem, you can think about it in various ways.ÌÇÐÄ´«Ã½�
Polansky concurs: ÌÇÐÄ´«Ã½œDuring the test, I tried to look for patterns, simplify the problems, or relate them to things I’ve seen in the past.ÌÇÐÄ´«Ã½�
The Putnam exam has been offered annually since 1938 by the Mathematical Association of America. Many winners of the competition have become distinguished mathematicians and have gone on to win Nobel Prizes and Fields Medals.
This year the top five teams in the competition were Carnegie Mellon, Princeton, Harvard, MIT, and Stanford.
