## Fullerton College William Lowell Putnam Exam

The

William Lowell Putnam Mathematical
Competition is an annual mathematics competition
for undergraduate college students enrolled college or university in the United States (regardless of the students' nationalities).
It awards scholarships with cash prizes ranging from $250 to $2,500, plus the top ten individual scores get tuition waived at

Harvard, and
the top 100 individual scores have their names mentioned by rank to leading universities. It is considered by many to be the most
prestigious university-level mathematics examination in the world. The competition was founded in 1927 by

Elizabeth Lowell Putnam
in memory of her husband

William Lowell Putnam, who was an advocate
of intercollegiate intellectual competition. The exam has been
offered annually since 1938 and is administered by the Mathematical Association of America.

*Contact Prof. Dana Clahane or
Prof. Bill Cowieson if you think you might want to participate!*

# Next Exam

The Putnam Exam is always given on the first Saturday of December.

# Benefits

Aside from the chance to win thousands of dollars in scholarship money or other awards, taking this challenging, standardized test can be a
valuable experience in preparation for exams that may be required later in your education. Taking this test now might help you later if you
decide to take the GRE, the MSAT, the LSAT or other qualifying exams.

# Test Format

The exam is

__very__ challenging -- it is unlikely that any of your math teachers could complete it in the time allotted (possibly never). But
do not let this deter you from the attempt -- there are usually one or two problems that a good math student can figure out, and even a score
of 1 out of a possible 120 is considered a good result. Questions are not from any standard syllabus, and many require familiarity with material
beyond calculus, including linear algebra, differential equations, probability, combinatorics, set theory, and abstract algebra. In addition
to a familiarity with course material, solutions usually require a "eureka" moment and some ingenuity. Each question is worth 10 points, and
partial credit is possible. To earn full credit for a problem, you must not only get the correct answer, you must also show all your work and
justify each step (i.e., give a complete proof).

# Calculators

Students are not permitted to use any scientific or graphics calculator.

# Reference

No books, tables, notes, or other reference material will be permitted during the exam. Scratch paper will be supplied at the time of the exam.

# Awards

Prizes will be awarded to the departments of mathematics of the institutions with the five winning teams. In recent years, the department with
the first place team received $25,000. In addition, there will be prizes awarded to each of the members of these five teams. In recent years,
the members of the first place team received $1,000 each. The five highest ranking individuals are designated Putnam Fellows by the Mathematical
Association of America. In recent years, each of these Fellows received $2,500. Prizes are also awarded to the next 20 top individuals.

# Eligibility for the Grand Prize

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. An eligible entrant who is also a high school
student must be informed of this four time limit.

# What to Expect

There are two sessions, one in the morning and one in the afternoon. In each session, you will have three hours to complete 6 questions. In
general, students are not expected to be able to completely answer all of the questions -- in fact, answering one is very good.

# Preparation

The best way to prepare for the exam is to study previous exams. You can obtain copies of previous exams and their solutions on

Kiran Kedlaya's
Putnam Archive.