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To provide a mathematics program for about 100 very promising students who have risen to the top on the American Mathematics Competitions.
To broaden students’ view of mathematics, and better prepare them for possible participation on our International Mathematical Olympiad (IMO) team.
To provide in depth enrichment in important mathematical topics to stimulate their continuing interest in mathematics and help prepare them for future study of mathematics.
To coach the IMO team, which was selected on the basis of the USA Mathematical Olympiad and further IMO type testing taking place the first week of MOSP, to its highest level of performance in the IMO, and to achieve an atmosphere of comradeship and cooperation among the team and other participants which brings about feelings of cooperation and pride.
The rigorous curriculum and daily schedule of the MOSP is designed to achieve the goals of the program. The MOSP will give approximately 100 students, including the six 2001 IMO team members and two alternates extensive practice in solving mathematical problems which require deeper analysis than those solved by students in even the best American high schools. Full days of classes and extensive problem sets gives students thorough preparation in several important areas of mathematics which are traditionally emphasized more in other countries than in the United States. These topics include combinatorics arguments and identities, generating functions, the Pigeonhole Principle, Ramsey’s Theorems, graph theory, recurrence relations, telescoping sums and products, probability, number theory, polynomials, theory of equations, complex numbers in geometry, algorithmic proofs, combinatorial and advanced geometry, functional equations and classical inequalities. Acquaintance with and understanding of these topics is important for reasonable performance in an IMO. The MOSP ensures that the IMO record of the United States properly reflects the energy and creativity of its brightest students.
Following the MOSP, the six member USA team travels to the IMO site. The Office of Naval Research has traditionally underwritten the MOSP instructional costs and participant support, while private sponsorship provides travel funds for the participants travel, and the University of Nebraska Lincoln provides its campus facilities and reduction in room and board fees.
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The AMC Web Site was last updated on 9/15/2001 |