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William Lowell Putnam Competition

William Lowell Putnam Competition 

On the first Saturday in December, the William Lowell Putnam Competition, a nation-wide mathematics examination, is given annually. The examination is graded for individual performances and carries a considerable amount of prestige. There is also a team aspect to the exam with each participating school selecting three students whose composite score represents the school.

Cash prizes are also awarded to participating Virginia Tech students based on their scores.

The 2022  Putnam competition dates will be announced at the beginning of the Fall semester  and is open to any interested Virginia Tech Undergraduate Students.

The Putnam Competition covers material only from undergraduate mathematics, including concepts from analysis, linear algebra, and number theory.  In this regard, the problems are ``elementary", but often quite tricky. The best way for you to prepare for the examination is to practice on previous examinations or similar problems.  

To this end, problem seminars are organized in the fall, during October and November, to work through previous examinations and to select a team for the upcoming examination. These seminars and the experience of the examination can be a rewarding mathematical experience. You will improve your math skills and develop self-reliance in mathematics!  

For more information on the seminars and how to register for the exam, contact  Clayton Lungstrum, cjlungstrum@vt.edu.

 The competition began in 1938 and is designed to stimulate a healthful rivalry in mathematical studies in the colleges and universities of the United States and Canada. It exists because Mr. William Lowell Putnam had a profound conviction in the value of organized team competition in regular college studies.

Mr. Putnam, a member of the Harvard class of 1882, wrote an article for the December 1921 issue of the Harvard Graduates' Magazine in which he described the merits of an intellectual competition. To establish such a competition, his widow, Elizabeth Lowell Putnam, in 1927 created a trust fund known as the William Lowell Putnam Intercollegiate Memorial Fund.

The first competition supported by this fund was in the field of English and a few years later a second experimental competition was held, this time in mathematics between two institutions. It was not until after Mrs. Putnam's death in 1935 that the examination assumed its present form and was placed under the administration of the Mathematical Association of America (MAA).

The competition is open only to regularly enrolled undergraduates, in colleges and universities of the United States and Canada, who have not yet received a college degree.

No individual may participate in the competition more than four times. 

The examination consists of two Saturday periods of exactly three hours each.

  • Morning Session 10:00 am -1:00 pm (Part A)
  • Afternoon Session 3:00-6:00 pm. (Part B)

Students who for religious reasons cannot take the examination at the scheduled hours may take the examination after sundown on Saturday, upon request by the supervisor and approval of the Director.

The examination is constructed to test originality as well as technical competence. 

  • It is expected that the contestants will be familiar with the formal theories embodied in undergraduate mathematics. 
  • It is assumed that such training, designed for mathematics and physical science majors, will include somewhat more sophisticated mathematical concepts than is the case in minimal courses. 
  • Questions will be included that cut across the bounds of various disciplines, and self-contained questions that do not fit into any of the usual categories may be included.

The exam is a nationwide exam and prizes will be awarded to the Departments of Mathematics of the Institutions with the overall five winning teams. In addition, there will be prizes awarded to each of the members of the winning teams.

The five highest ranking individuals are designated Putnam Fellows by the Mathematical Association of America (MAA). Prizes will be awarded to each of these individuals and to each of the next twenty highest ranking contestants.

The annual William Lowell Putnam Prize Scholarship will be awarded to one of the Putnam Fellows. This scholarship carries a value of $12,000 (plus tuition at Harvard).

The Elizabeth Lowell Putnam Prize will be awarded to a woman whose performance on the Competition has been deemed particularly meritorious.

On the local level, i.e. at Virginia Tech, about $200-250 in prize money is available for the best performances in the competition.