Advanced Mathematical Reasoning
|Years of Operation||1990*-2000|
|Sites Offered||AMH, JHU, LOS, NOR|
From the CTY Course Catalog (1997):
This course focuses on several techniques of higher mathematics. Students learn to prove their answers, rather than just state them. Powerful techniques, such as mathematical induction and the pigeon-hole principle, are studied in detail. With these new tools, students explore areas of math which are not normally encountered in high school math curricula. The aim is to provide a wide sample of important topics such as mathematical logic, number theory, graph theory, and combinatorics.
Students work in small groups on challenging problem sets. They learn to communicate abstract ideas in the form of coherent logical proofs, written in natural language. An emphasis is placed on writing elegant arguments, and a primary objective of the course is to help students view mathematics as an artistic and creative endeavor.