Prerequisites: Qualifying math score and prior participation in AMC 10 or 12
Textbook and Material Purchase Required: Visit our textbook web page
Individually Paced

This course is a very challenging problem-solving course for students who have participated in the AMC and are eager to take their skills to the next level. In one part of the course, general problem-solving techniques such as the pigeon hole principle, invariance principle, extremal principle, induction principle, and systematic checking are introduced. Some of these general problem-solving paradigms enjoy applicability outside of mathematics. In the other part of the course, these metholds are discussed in specific mathematical contexts such as number theory, combinatorics, sequences, and polynomials. In tackling non-routine problems whose solutions are not immediate, students are encouraged to approach problems from different angles. A further goal of this course is to improve a student's ability to write proofs. Students attend weekly whiteboard sessions to discuss challenging problems. Whiteboard Session Times

Supplementary textbook: While CTY will make its own course material accessible, this course will be accompanied by the book, The Art of Problem Solving, Volume 2: and Beyond, by Rusczyk and Lehoczky, 7th Ed. AofPS Incorporated.

For a demo of the Whiteboard Sessions, click here.

Sample Problem Solutions (from course description in CTYOnline catalog)

Course Length: Typically 3 months
Detailed Course Information
System Requirements