Competitive Mathematics for High School Students
Competitive Mathematics for High School Students is a CTY Online course for high school students who have participated in either the AMC 10 or 12 and have completed Precalculus. Its course code is CMH and the times are as follows:
Wednesdays from 9 pm-10:30 pm (Eastern Standard Time)
Course Description
From the CTY Online Catalog:
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 are introduced, such as:
- the pigeon hole principle
- invariance principle
- extremal principle
- induction principle
- systematic checking
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 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 virtual classroom sessions to discuss challenging problems.
Each topic covered in the course is independent of the other topics. One topic is taught a week on a continuous repeating basis. Students will not necessarily start with "Topic 1" in their first week of enrollment, but all topics will be covered in a 3-month enrollment. When all topics are covered, a student then takes the final exam.
