United States of America Mathematical Talent Search
Encyclopedia
The United States of America Mathematical Talent Search (USAMTS) is a mathematics competition open to all United States
United States
The United States of America is a federal constitutional republic comprising fifty states and a federal district...

 students in or below high school
High school
High school is a term used in parts of the English speaking world to describe institutions which provide all or part of secondary education. The term is often incorporated into the name of such institutions....

.

History of contest

Professor George Berzsenyi initiated the contest in 1989 under the KöMaL
Komal
Komal Kumar is an Indian actor and comedian in the Kannada film industry, known for the comedy roles he portrays in his movies. He is the brother of actor Jaggesh.-Early Life:...

 model and under joint sponsorship of the Rose-Hulman Institute of Technology
Rose-Hulman Institute of Technology
Rose–Hulman Institute of Technology , formerly Rose Polytechnic Institute, is a small private college specializing in teaching engineering, mathematics, and science. RHIT is highly regarded for its undergraduate engineering program, which US News and World Reports ranked in 2011 as No...

 and the Consortium for Mathematics and its Applications.

As of 2004, the USAMTS is sponsored by the National Security Agency
National Security Agency
The National Security Agency/Central Security Service is a cryptologic intelligence agency of the United States Department of Defense responsible for the collection and analysis of foreign communications and foreign signals intelligence, as well as protecting U.S...

 and administered by the Art of Problem Solving foundation. There were 718 participants in the 2004-2005 school year, with an average score of 49.25 out of 100.

Format

The competition is proof and research based, Students submit proofs
Mathematical proof
In mathematics, a proof is a convincing demonstration that some mathematical statement is necessarily true. Proofs are obtained from deductive reasoning, rather than from inductive or empirical arguments. That is, a proof must demonstrate that a statement is true in all cases, without a single...

 within the round's timeframe (usually a month), and return solutions by mail or upload their solutions in a PDF file through the USAMTS website. During this time, students are free to use any mathematical resources that are available, so long as it is not the help of another person. Carefully written justifications are required for each problem.

Prior to academic year 2010–2011 the competition consisted of four rounds of five problems each, covering all non-calculus
Calculus
Calculus is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. This subject constitutes a major part of modern mathematics education. It has two major branches, differential calculus and integral calculus, which are related by the fundamental theorem...

topics. Students were given approximately one month to solve the questions. Each question is scored out of five points; thus, a perfect score is .

Since the academic year 2010-2011, the USAMTS changed their format to two rounds of six problems each, and approximately six weeks are allotted for each round.

Prizes

Prizes are given to all contestants who place within a certain range. These prizes include a shirt from AoPS, software, and one or two mathematical books of varying difficulty. Prizes are also awarded to students with outstanding solutions in individual rounds. Further, after the third round, given a high enough score, a student may qualify to take the AIME exam instead of qualifying through the AMC 10 or 12 competitions.

External links

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