William Lowell Putnam, a graduate of Harvard in the class of 1882, believed strongly in the value of academic competitions. To this end, Mrs. Elizabeth Lowell Putnam, the wife of Mr. Putnam, created a trust fund for supporting such competitions. Two experimental competitions were held, one in English, and one in mathematics, before the competition assumed its present form.

Harvey Mudd College (HMC) has
a long history of participation in
the Putnam, and in recent years, the school
has done very well. In 2011, we placed 6th in the country and in 2003, we placed 5th. We are
often the only undergraduate college to place in the top ten.
We also regularly sport the highest
participation rate in the country with roughly 10% of our students
taking the exam!

Here are the 2011
Putnam Exam
Questions and Solutions.

- The RIF Scholarship- A merit scholarship offered by the HMC Mathematics Department to students who demonstrate exceptional mathematical ability, possibly evidenced by strong performance in mathematical competitions.
- The Putnam Problem Solving Seminar is offered every fall.
- A Math Horizons article about the HMC Putnam Seminar.

- Here are some pictures from the Putnam Seminar.
- Mug Shots --
Pictures of the
*beautiful*Putnam mugs given to all HMC Putnam participants.

- For 2012 Prof. Francis Su ran a problem session called Symmetry.
- For 2011 Prof. Andrew Bernoff ran two problem session called The Sum of the Parts and Digits and Divisibility.
- For 2010 Prof. Andrew Bernoff ran two problem session called Induction and Recursion and The Extreme Principle.
- For 2009 Prof. Andrew Bernoff ran two problem session called The Pigeonhole Principle and Parity & Counting.
- For 2008 Prof. Andrew Bernoff ran two problem session called Hidden Symmetries and Lattice Points & Polygons.
- For 2007 Prof. Andrew Bernoff ran two problem session called Some Random Problems From Probability and Mathematical Games.
- For 2006 Prof. Francis Su ran a problem session called Paths, Curves and Cycles. Prof. Andrew Bernoff ran a problem session called Digits and Divisibility.
- For 2005 Prof. Andrew Bernoff ran a problem session called The Sum of the Parts on geometric dissection
problems. Prof. Francis Su ran a problem session called The Extreme Principle on analyzing problems by
considering extreme cases.

- For 2004 Prof. Francis Su ran two seminars, the first on The Pigeonhole Principle and the second called
Cubes and Other Geometric Objects.

- For 2003 Prof. Andrew Bernoff ran two seminars one called Induction and Deduction and one called Parity and Invariants.

- Math Fun Facts is
Francis Su’s website with many amusing math facts for students of all
abilities.

- Math Forum is a good starting place for K-12 resources.
- Wolfram Alpha is an amazingly smart cross between a calculator, a search engine and an encyclopedia.
- Wolfram's MathWorld - A very extensive encyclopedia of mathematics. Anythingthat you might want to know about math can be found here.
- MathSciNet - The best site for doing key word searches on journal articles.
- The Inverse Symbolic Calculator - A program that attempts to find a symbolic expression for a given decimal approximation to a number.
- Sloane's On-Line Encyclopedia of Integer Sequences - An encyclopedia of many interesting sequences of integers.
- The Art of Problem
Solving host a set of mathematical resources, publishes books, and
runs courses aimed primarily at High School students.

- Official Putnam Site - The official rules, regulations, and results of the competition.
- MAA/AMC
Putnam Archive- An extensive archive of recent Putnam problems,
solutions, and statistics.

Here is just a selection of Putnam
Preparatory Seminars at various colleges. Note some of these sites move
frequently.

- MIT's Open Course Ware for Stanley & Rogers Problem Solving Seminar in 2004 (18.S34)
- Stanley & Roger's MIT 18.S34 Problem
Solving Seminar (2007)

- Richard
Stanley's Proposed Putnam Problems -- from when he was on the
committee that wrote the exam.

- Ravi Vakil's Stanford Putnam
Webpage.

- University of Waterloo.

- Macalester Problem of the Week - Great and offbeat problems due to Stan Wagon and friends !!!
- The MAA/AMC Website has problems and solutions from other mathematics contests (USAMO, IMO, etc.).
- The Virginia
Tech Regional Mathematics Competition is a
Putnam-style competition.

- Purdue's Problem of the
Week.

- The International Mathematics
Competition perhaps could be described as a worldwide version of
the Putnam.

*Problem-Solving Strategies (Problem Books in Mathematics)*by Arthur Engel-
*Problem Solving Through Problems*by Loren C. Larson -
*The Art and Craft of Problem Solving*by Paul Zeitz -
*Mathematical Olympiad Challenges*by Titu Andreescu, Razvan Gelca *Winning Solutions (Problem Books in Mathematics)*by Edward Lozansky, Cecil Rousseau

*Five Hundred Mathematical Challenges*by Edward J. Barbeau, Murray S. Klamkin, William O. J. Moser- Which Way Did the Bicycle Go? : And Other Intriguing Mathematical Mysteries -- Joseph D. E. Konhauser, Dan Velleman

*The William Lowell Putnam Mathematical Competition 1985-2000*by Kiran S. Kedlaya et al.

*The Red Book of Mathematical Problems*by Kenneth S. Williams, Kenneth Hardy*The Green Book of Mathematical Problems*by Kenneth Hardy, Kenneth S. Williams

*How to Solve It*by George Polya

- Math Horizons (MAA) is a magazine aimed at undergraduates with a very accessible problem section.
- Mathematics Magazine (MAA) is an expository journal of undergraduate mathematics, with an a good problem section for the undergraduate.
- The College
Mathematics Journal
- The American Mathematical Monthly publishes articles about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional mathematicians as well as students of mathematics at all collegiate levels. The problem section is quite challenging, and often contains unsolved problems.

Disclaimer: The sites listed here at the time of the composition of this page were available openly on the web. I expect these sites to move and migrate over time. Moreover, much of the material referenced may be protected by copyright and other intellectual property law. The user of these resources is encourage to acknowledge the source of problems used and to obtain permissions to copy problems, solutions, resources and other documents as appropriate.

Putnam Homepage * Mathematics Department * Harvey Mudd College

Maintained by Andrew J. Bernoff

Last Updated on 01-08-13