#### Putnam Exam at UNM

Date/Time: First Saturday in December, 8:30am-11:30am & 1:30pm-4:30pm.

Location: Will be emailed to registered students by November 30.

To register email me your full name and UNM ID by September 30.

#### Putnam Problem of the Day

#### William Lowell Putnam Mathematical Competition

The Putnam Mathematical Competition is an annual contest for regularly enrolled undergraduate college/university students in the U.S. and Canada who have not yet received a college degree. More than 4000 students from over 500 colleges and universities take part in this most prestigious mathematics competition in America. The competition is a 6 hour exam consisting of 12 mathematics problems split in two 3 hour sessions (with 2 hour lunch break between them) held on the first Saturday of December. A person may take the Putnam Exam a maximum of four times.

The Putnam examination tests originality, technical competence and familiarity with the formal theories embodied in undergraduate mathematics. Questions cut across the boundaries of various disciplines, and include self-contained questions that do not fit into any of the usual categories. These self-contained questions can involve elementary concepts from algebra (abstract and linear), analysis (trigonometry, calculus, complex variables, differential equations, functional equations, inequalities), geometry, discrete mathematics (combinatorics, graphs, recursively defined sequences, generating functions), number theory (primes, congruences/modular arithmetic), and probability. Prizes are awarded to the top individual participants and teams. The top five scorers on the exam are named Putnam Fellows.

All students with interests in the mathematical sciences are strongly encouraged to participate. Students taking part in and preparing for the competition learn a lot about general mathematical skills such as solving problems and proving statements. Graduate schools and other employers can be impressed by high Putnam scores.

If you are interested in taking the Putnam exam please send an email to <> with your full name and your UNM student ID by the end of September (this is to reserve a spot for you at the competition). A limited number of students might also be able to participate on a walk-in basis on the day of the competition.

#### Putnam Competition Resources

- Putnam Mathematical Competition
- Books:
- Kedlaya, Poonen, Vakil, Putnam Mathematical Competition 1985-2000: Problems, Solutions and Commentary
- Gelca, Andreescu, Putnam and Beyond, 2007
- Larson, Problem-Solving Through Problems, 1983
- Engel, Problem-Solving Strategies, 1998
- Zeitz, The Art and Craft of Problem Solving, 2007
- Steele, Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities, 2004
- Andreescu, Complex Numbers from A to Z, 2014
- Radulescu, Radulescu, Andreescu, Problems in Real Analysis: Advanced Calculus on the Real Axis, 2009
- Barbeau, Polynomials, 2003
- Titu, Mushkarov, Stoyanov, Geometric Problems on Maxima and Minima, 2006
- Newman, A Problem Seminar, 1982
- Andreescu, Dospinescu, Problems From The Book, 2010
- Wilf, Generatingfunctionology, 1992
- Szekely, Contests in Higher Mathematics: Miklos Schweitzer Competitions 1962-1991
- Honsberger, Mathematical Morsels, 1979
- Shklarsky, Chentzov, Yaglom, The USSR Olympiad problem book, 1993
- Andreescu, Feng, 102 Combinatorial Problems, 2003
- Andreescu, Feng, 103 Trigonometry Problems: From the Training of the USA IMO Team, 2005
- Andreescu, Andrica, Feng, 104 Number Theory Problems: From the Training of the USA IMO Team, 2006
- Polya, Kilpatrick, The Stanford Mathematics Problem Book: With Hints and Solutions, 2009
- Polya, How to Solve It: A New Aspect of Mathematical Method, 2004
- Other Resources:
- Studying for Putnam
- Putnam Problems Archive