Spring 2012 Online Math Challenge Courses (All class times are based on Pacific Time Zone):

*Updated schedule as of February 10, 2012

Winter Online Math Challenge Courses (All class times are based on Pacific Time Zone):

Math Challenge I (MC-I)
Students learn math skills at a deeper level with topics in creative problem solving in everyday applications, beginning algebra, fundamental geometry, basic number theory concepts and counting strategies, as well as logic and probabilities. The students not only learn practical skills of challenging problem solving that are supplemental to their school curricula, but also develop skills in creative thinking, logical reasoning, oral & written presentation, and team work. This course helps 6th to 8th graders (some advanced 5th graders may attend upon aproval) to participate in the American Mathematics Competition (AMC) 8, MathCounts and Math Olympiads for Elementary and Middle Schools (MOEMS). Through the effective guidance and direction by our experienced teachers, students develop strong problem solving skills that make them perform well in the MathCounts, AMC 8, and MOEMS Contests.

Math Challenge II (MC-II)
In MC II, students learn and practice in areas such as algebra and geometry at the high school level, as well as advanced number theory and combinatorics. Topics include polynomials, inequalities, special algebraic techniques, trigonometry, triangles and polygons, collinearity and concurrency, vectors and coordinates, numbers and divisibility, modular arithmetic, residue classes, advanced counting strategies, binomial coefficients, pigeonhole principle, sequence and series, and various other topics and problem solving techniques involved in math contests such as the American Mathematics Competition (AMC) 10, 12 and ARML, and also the beginning AIME level.

Math Challenge III (MC-III)
This course is for experienced students who are at the level that qualifies for AIME. However, solving a few problems in the AIME contest is still challenging. The course will train the students to get comfortable with AIME level problems, and up to the USAMO level. 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. The topics include everything covered in MC II 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 effective guidance and direction by our experienced teachers, students develop strong problem solving skills that help them to perform well in AIME and USAMO.

Math Challenge IV (MC-IV)
This course is for experienced students who can solve at least a few problems in the AIME contest and can qualify or almost qualify for USAMO. 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 USAMO, also to comfortably write mathematical proofs for problems at the USAMO level, aiming to win USAMO and get into the prestigious MOSP. The topics include everything covered in MC II 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 effective guidance and direction by our experienced teachers, students develop strong problem solving skills that make them perform well in AIME and USAMO.