the putnam competition - department of mathematicsmath.cornell.edu/~putnam/putnam_info_15_v1.pdf ·...

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The Putnam Competition What: The Putnam exam tests originality, technical competence and familiarity with elementary undergraduate mathematics. Most questions require only the standard con- cepts of calculus and linear algebra. Prizes: Competition is primarily individual. The five highest ranking students are designated Putnam Fellows and receive $2500 each. One receives a Putnam fellowship to Harvard. There are other cash prizes for the next 20 students. The top 100 students are reported in the American Mathematical Monthly, and lists of those in the top 500 nationally are reported to participating Math Departments. Team: By mid October, each school selects three students (plus some alternates) to form that school’s team. Team standing is based on the ranks of the three team members rather than on total score. There are prizes and prestige for excellent achievements here as well. Often some of a school’s highest scorers are not on the school’s team. Exam Format and Grading: The exam consists of two sessions (10am-1pm and 3pm-6pm) on Saturday December 5. Each session consists of six problems worth 10 points each. Problems are hard and there is no disgrace in receiving a 0 (as 50% of last year’s contestants did) or other low score. Typically a score around 20 is needed to make the top 500 and 50 to make the top 100. From the Directions: On each problem, all the necessary work to justify an answer and all the necessary steps of a proof must be shown clearly to obtain full credit. Some partial credit may be given, but only when a contestant has shown significant and sub- stantial progress towards a solution. History: The table below shows Putnam fellows associated to Cornell (past students and current faculty) and top ranked Cornell teams. Students Faculty Teams Jeremy L. Bem 1994 1996 Prof. Robert S Strichartz 1962 1 st 1951 1954 Robert D. Kleinberg 1996 2 nd 1994 1995 David J Wright 1992 3 rd 1953 1957 Leonard Evens 1954 5 th 1958 1960 1992 Professors Hubbard and Connelly worked with the mid 90’s Cornell teams which finished second nationally. Robert Kleinberg is an Associate Professor in the Cornell Computer Science Department. Last year Freshman Victor Reis won Honorable Mention, and the Cornell team of Louis Brown, Vivian Kuperberg, and Lexie Li ranked 12th nationally. Team ranks in the previous 12 years were 21, 36, 11, 47, 16, 16, 14, 20, 25, 21, 66, and 53. Over the last nine years, we’ve had 16 exam scores in the top 200 (including 5 Honorable Mention or other top 100) as well as around 45+ others in the top 500. Meetings: We use selected portions of the electronically available book “Putnam and Beyond” as a tool for some of our practice sessions. Details of access are at our website which also lists many books on reserve as well as links to electronic resources. You are welcome to take the Putnam exam without coming to the practice sessions which will be Wednesdays at 4:45 in the Malott fifth floor lounge. This year’s activites are being organized by Professors Farbod Shokrieh, Florian Frick, Dan Collins, and Dr. Allen Back. Website: http://www.math.cornell.edu/ ˜ putnam

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The Putnam CompetitionWhat: The Putnam exam tests originality, technical competence and familiarity withelementary undergraduate mathematics. Most questions require only the standard con-cepts of calculus and linear algebra.Prizes: Competition is primarily individual. The five highest ranking students aredesignated Putnam Fellows and receive $2500 each. One receives a Putnam fellowshipto Harvard. There are other cash prizes for the next 20 students. The top 100 studentsare reported in the American Mathematical Monthly, and lists of those in the top 500nationally are reported to participating Math Departments.Team: By mid October, each school selects three students (plus some alternates) toform that school’s team. Team standing is based on the ranks of the three team membersrather than on total score. There are prizes and prestige for excellent achievements hereas well. Often some of a school’s highest scorers are not on the school’s team.Exam Format and Grading: The exam consists of two sessions (10am-1pm and3pm-6pm) on Saturday December 5. Each session consists of six problems worth 10points each. Problems are hard and there is no disgrace in receiving a 0 (as 50% oflast year’s contestants did) or other low score. Typically a score around 20 is needed tomake the top 500 and 50 to make the top 100.From the Directions: On each problem, all the necessary work to justify an answerand all the necessary steps of a proof must be shown clearly to obtain full credit. Somepartial credit may be given, but only when a contestant has shown significant and sub-stantial progress towards a solution.History: The table below shows Putnam fellows associated to Cornell (past studentsand current faculty) and top ranked Cornell teams.

Students Faculty TeamsJeremy L. Bem 1994 1996 Prof. Robert S Strichartz 1962 1st 1951 1954Robert D. Kleinberg 1996 2nd 1994 1995David J Wright 1992 3rd 1953 1957Leonard Evens 1954 5th 1958 1960 1992

Professors Hubbard and Connelly worked with the mid 90’s Cornell teams which finishedsecond nationally. Robert Kleinberg is an Associate Professor in the Cornell ComputerScience Department.Last year Freshman Victor Reis won Honorable Mention, and the Cornell team of LouisBrown, Vivian Kuperberg, and Lexie Li ranked 12th nationally. Team ranks in theprevious 12 years were 21, 36, 11, 47, 16, 16, 14, 20, 25, 21, 66, and 53.Over the last nine years, we’ve had 16 exam scores in the top 200 (including 5 HonorableMention or other top 100) as well as around 45+ others in the top 500.Meetings: We use selected portions of the electronically available book “Putnam andBeyond” as a tool for some of our practice sessions. Details of access are at our websitewhich also lists many books on reserve as well as links to electronic resources.You are welcome to take the Putnam exam without coming to the practicesessions which will be Wednesdays at 4:45 in the Malott fifth floor lounge.This year’s activites are being organized by Professors Farbod Shokrieh, Florian Frick,Dan Collins, and Dr. Allen Back.

Website: http://www.math.cornell.edu/˜putnam