This course is for experienced students who can solve at least a few problems in the AIME contest and qualify or almost qualify for USA(J)MO. In this course, the students learn more in-depth math concepts and problem-solving strategies that involve more rigorous mathematical writing and a broad range of topics. Students are trained to comfortably solve the AIME problems to qualify for USA(J)MO, also to comfortably write mathematical proofs for problems at the USA(J)MO level, aiming to win USA(J)MO and get into the prestigious MOSP. The topics include everything covered in MC-III with more depth, and additional topics such as quadratic residue, diophantine equations, recurrence, proving inequalities, mathematical induction, functional equations, generating functions, inversion, projective geometry, and rigorous proof-writing practices. Through the effective guidance and direction by our experienced teachers, students develop strong problem solving skills that make them perform well in AIME and USA(J)MO.
Note: This is a multi-year class. Students may continue to enroll in MC-IV for up to 3 years and all the major math olympiad sub-topics shall be covered. Since the size of this class is small, the topics are customized according to the knowledge level of the enrolled students.
This course meets Sundays 10:45 AM-12:15 PM Pacific (1:45-3:15 PM Eastern). For the specific dates of the course please see the full course schedule by clicking here.
The focus of the summer term of Math Challenge I-V is problem solving with algebra.
The focus of the fall term of Math Challenge I-V is problem solving with geometry.
The focus of the winter term of Math Challenge I-V is problem solving with combinatorics.
The focus of the spring term of Math Challenge I-V is problem solving with number theory.