Difference between revisions of "William Lowell Putnam Mathematical Competition"

Latest revision as of 12:11, 20 February 2024

The William Lowell Putnam Mathematical Competition is a highly challenging, proof-oriented mathematics competition for undergraduate students in North America.

Top scoring students on the Putnam exam are named Putnam Fellows.

Putnam

Region: USA

Type: Proof

Difficulty: 7 - 9

Difficulty Breakdown:

Problem A/B, 1/2: 7
Problem A/B, 3/4: 8
Problem A/B, 5/6: 9

Rules

The Putnam Exam is a 6 hour undergraduate exam usually held the first Saturday in December. The test consists of two 3 hour sessions of six problems each with 2 hour lunch break between them. The problems are proof-oriented and written in roughly the same style as high school olympiads are, although they include more advanced mathematics. Each problem is graded on a scale of 0 to 10. The top five scorers (or more if there are ties) on the exam are named Putnam Fellows.

Each school may have as many students as are interested sit for the exam. Each school's team score is determined by adding the ranks (not the scores) of its top three students, and the team with the lowest point total wins. For example, a school whose top students placed 1st, 2nd and 20th would place lower than a school whose top students placed 6th, 7th and 8th. (In the case of ties, every student is assigned the average of the range of ranks that would have been attained had there been no tie -- that is, if the top three students tie, they are all awarded a rank of $\frac{1 + 2 + 3}{3}=2$ .) Before 2019, schools were required to choose their team members in advance, which regularly lead to schools selecting the "wrong team." For example, only two of the six 2007 Putnam fellows were members of their school teams. In some cases this has led to a team placing lower than they would have had they chosen the three team members who went on to score the highest. In recent years, this effect has been particularly noticeable at MIT: in both 2005 and 2006, MIT had three Putnam Fellows (out of six and five, respectively), but did not finish above third place either year.

A person may take the Putnam Exam a maximum of four times. Typically, this means a student may sit each year he or she is an undergraduate, although high school seniors have occasionally taken the exam officially.

Placings and Prizes

The prizes are as follows:

Individuals

Putnam fellows, $2,500
The next top ten individuals, $1,000
Next Ten Individuals , $250

Elizabeth Lowell Putnam Prize- The Elizabeth Lowell Putnam Prize is awarded periodically to a woman whose performance in the competition is deemed particularly meritorious. This prize would be in addition to any other prize she might otherwise win. Women contestants, to be eligible for this prize, must specify their gender.
- $1,000

Teams

First Place team
- Team members receive $1,000
- School receives $25,000
Second Place Team
- Team members receive $800
- School receives $20,000
Third Place Team
- Team members receive $600
- School receives $15,000
Fourth Place Team
- Team members receive $400
- School receives $10,000
Fifth Place Team
- Team members receive $200
- School receives $5,000

Problem Books

1938-1964 -- A good book for students just learning to solve Putnam Problems.
1965-1984
1985-2000 by Kiran Kedlaya, Bjorn Poonen, and Ravi Vakil. The three authors are among the most successful Putnam participants of all time.

Resources

Official Website
Past Problems
- Problems from 1938 to 2003
- Problems from 1985 to Present
AoPS Forum
[1]

@@ Line 1: / Line 1: @@
-The '''William Lowell Putnam Mathematical Competition''' is a highly challenging proof-oriented [[mathematics competition]] for undergraduate students in North America.
+The '''William Lowell Putnam Mathematical Competition''' is a highly challenging, proof-oriented [[mathematics competition]] for undergraduate students in North America.
-Top scoring students on the Putnam exam are named [[Putnam Fellows]].
+Top scoring students on the Putnam exam are named Putnam Fellows.
-== The Competition ==
+{{Contest Info|name=Putnam|region=USA|type=Proof|difficulty=7 - 9|breakdown=<u>Problem A/B, 1/2</u>: 7<br><u>Problem A/B, 3/4</u>: 8<br><u>Problem A/B, 5/6</u>: 9}}
-The '''Putnam Exam''' is a two-session undergraduate exam  in which there are 3 hours in each sitting with a 2-hour lunch break between them. There are 6 problems on each session. It is usually held once a year on the first Saturday of December.
-Each problem is graded on a scale of 0-10. This makes a perfect score a 120.
+== Rules ==
-The "Putnam Fellows" are the winners of the competition, the top 5.
+The '''Putnam Exam''' is a 6 hour undergraduate exam usually held the first Saturday in December. The test consists of two 3 hour sessions of six problems each with 2 hour lunch break between them. The problems are proof-oriented and written in roughly the same style as high school olympiads are, although they include more advanced mathematics. Each problem is graded on a scale of 0 to 10. The top five scorers (or more if there are ties) on the exam are named Putnam Fellows.
-Students from the same school can compete together on a three-person team, in which the team's score is determined by the sum of the scores of the students on that team.
+Each school may have as many students as are interested sit for the exam. Each school's team score is determined by adding the ranks (not the scores) of its top three students, and the team with the lowest point total wins. For example, a school whose top students placed 1st, 2nd and 20th would place lower than a school whose top students placed 6th, 7th and 8th. (In the case of ties, every student is assigned the average of the range of ranks that would have been attained had there been no tie -- that is, if the top three students tie, they are all awarded a rank of <math>\frac{1 + 2 + 3}{3}=2</math>.) Before 2019, schools were required to choose their team members in advance, which regularly lead to schools selecting the "wrong team." For example, only two of the six 2007 Putnam fellows were members of their school teams. In some cases this has led to a team placing lower than they would have had they chosen the three team members who went on to score the highest.  In recent years, this effect has been particularly noticeable at [[MIT]]: in both 2005 and 2006, MIT had three Putnam Fellows (out of six and five, respectively), but did not finish above third place either year.
+A person may take the Putnam Exam a maximum of four times. Typically, this means a student may sit each year he or she is an undergraduate, although high school seniors have occasionally taken the exam officially.
 ==Placings and Prizes==
 The prizes are as follows:
--'''Individuals'''
+===Individuals===
-*Putnam fellows
+*Putnam fellows, \$2,500
-**$2,500
+*The next top ten individuals, \$1,000
-*The next top ten individuals
+*Next Ten Individuals , \$250
-**$1,000
-*Next Ten Individuals
-**$250
--'''Teams'''
+*Elizabeth Lowell Putnam Prize- The Elizabeth Lowell Putnam Prize is awarded periodically to a woman whose performance in the competition is deemed particularly meritorious. This prize would be in addition to any other prize she might otherwise win. Women contestants, to be eligible for this prize, must specify their gender.
+**&#36;1,000
+===Teams===
 *First Place team
-**Team members recieve $1,000
+**Team members receive &#36;1,000
-**School recieves $25,000
+**School receives &#36;25,000
 *Second Place Team
-**Team members recieve $800
+**Team members receive &#36;800
-**School recieves $20,000
+**School receives &#36;20,000
 *Third Place Team
-**Team members recieve $600
+**Team members receive &#36;600
-**School Recieves $15,000
+**School receives &#36;15,000
 *Fourth Place Team
-**Team members recieves $400
+**Team members receive &#36;400
-**School recieves $10,000
+**School receives &#36;10,000
 *Fifth Place Team
-**Team members recieve $200
+**Team members receive &#36;200
-**School Recieves $5,000
+**School receives &#36;5,000
-*Elizabeth Lowell Putnam Prize- The Elizabeth Lowell Putnam Prize will be awarded periodically to a woman whose performance on the Competition has been deemed particularly meritorious. This prize would be in addition to any other prize she might otherwise win. Women contestants, to be eligible for this prize, must specify their gender.
-**$1,000
-== Past Winners ==
-'''-Putnam Fellows'''
-*2006:
-*2005:
-*2004:
-**Reid Barton
-**Vladmir Barzov
-**Ana Caraiani
-**Daniel Kane
-**Aaron Pixton
-*2003:
-**Reid Barton
-**Ana Caraiani
-**Gabriel Carroll
-**Ralph Furmaniak
-**Daniel Kane
-*2002:
-**Reid Barton
-**Gabriel Carroll
-**Deniss Cebikins
-**Alexander Schwartz
-**Melanie Wood
-*2001:
-**Reid Barton
-**Gabriel Carroll
-**Kevin Lacker
-**George Lee Jr.
-**Jan Siwanowicz
-'''-Team Winners'''
-*2006:
-*2005:
-*2004:
-**Massachusetts Institute of Technology
-**Princeton University
-**Duke University
-**University of Waterloo
-**California Institute of Technology
-*2003:
-**Massachusetts Institute of Technology
-**Harvard University
-**Duke University
-**California Institute of Technology
-**Harvey Mudd College
-*2002:
-**Harvard University
-**Princeton University
-**Duke University
-**University of California, Berkeley
-**Stanford University
-*2001:
-**Harvard University
-**Massachusetts Institute of Technology
-**Duke University
-**University of California, Berkeley
-**Stanford University
 == Problem Books ==
-* [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=47 1938-1964] -- A good book for students just learning to solve Putnam Problems.
+* [https://www.amazon.com/William-Lowell-Putnam-Mathematical-Competition/dp/0883854627 1938-1964] -- A good book for students just learning to solve Putnam Problems.
 * [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=48 1965-1984]
 * [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=49 1985-2000] by [[Kiran Kedlaya]], [[Bjorn Poonen]], and [[Ravi Vakil]].  The three authors are among the most successful Putnam participants of all time.
+== Resources ==
+* [https://www.maa.org/math-competitions/putnam-competition Official Website]
+* Past Problems
+** [https://prase.cz/kalva/putnam.html Problems from 1938 to 2003]
+** [https://kskedlaya.org/putnam-archive/ Problems from 1985 to Present]
+* [https://artofproblemsolving.com/community/c3249_putnam AoPS Forum]
+* [http://math.scu.edu/putnam/]
+== See Also ==
-== Resources ==
-* [http://www.artofproblemsolving.com/Forum/index.php?f=80 The Putnam Forum] at [[AoPS]].
-* [http://www.artofproblemsolving.com/Forum/resources.php?c=2&cid=23 Putnam problem and solution database] in the [http://www.artofproblemsolving.com/Forum/resources.php AoPS Contest Database].
-* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_HowWrite.php How to Write a Solution] by [[Richard Rusczyk]] & [[user:MCrawford | Mathew Crawford]].
 * [[List of United States college mathematics competitions]]
+* [[Putnam historical results]]
+[[Category:Mathematics competitions]]
+[[Category:Hard Olympiad mathematics competitions]]

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