Available courses

Trigonometry

This is a self-contained course on trigonometry. 

3D geometry

This course introduces students to Olympiad level knowledge on 3D geometry.

Basic ideas of trigonometry are required. (Sine Law, Cosine Law)

Intermediate Geometry

Topics covered:

  • Similar triangles
  • Circles and tangents: angles on circles, cyclic quadrilaterals,  tangents and their properties
  • Important lines in triangles: bisectors, angle bisector theorem, medians, the centroid, segment bisectors, the circumscribed circle, heights, the orthocentre, Nine Point Circle

Intermediate Number Theory

Topics covered:

  • Prime factorization of integers
  • Divisibility rules
  • Divisors: number of divisors,  sum of divisors, product of divisors
  • Factoring techniques
  • Number bases
  • Modular arithmetic: Fermat's Little Theorem, Chinese Remainder Theorem

Counting-Probabilities Advanced

This course is intended for students with knowledge in counting/probabilities and it is meant to take students to an advanced level. Theoretical knowledge is assumed as known to the level of solving problems of the AMC12 level.

Intermediate Combinatorics

Topics covered:

The Binomial Theorem

This course provides all knowledge required for a student to be very familiar with the Binomial Theorem, important part of the curriculum required for math contests.

Intermediate algebra

Topics covered:

  •  Systems of linear equations
  • The quadratic equation and solving equations with parameters
  • Coordinate geometry: intersections of lines and circles
  • Systems of equations, Olympiad type problems

  • Percentage problems

CEMC10

This is a self-contained course, whose purpose is to prepare students for success in the Grade 10 contests organised by U Waterloo.

CEMC11

This is a self-contained course preparing students for success in U Waterloo's Grade 11 contests.

CEMC9

This course is designed for students preparing for The Grace 9 contests organised by U Waterloo. It is a self contained course covering all topics assumed by the contests.

CEMC9-10-AMC10

This course presents solution to more difficult problems from the CEMC contests for grades 9 and 10 and AMC10. Specific theoretical knowledge is presented in specialized courses in algebra, geometry, number theory and combinatorics, this particular course is mainly a problem solving course.

CEMC11-12-AMC12

This course is intended for students getting ready for the Euclid contest and/or AMC12. The intermediate curse CEMC9-10-AMC10 provides a good coverage of the more basic ideas, but it is not a requirement. 

Euclid-6-8-CSMC-AIME-5-10

Solutions to problems 6-8 from Euclid, problems 1-3 from CSMC selected 5-10 AIME questions are presented, beginning with year 2015.

AMC8 - Level 3

This is a course that introduces students to the most advanced problems from the AMC8 curriculum. 

AMC8 - Level 2

This is a course based on the curriculum of the AMC8 contest. An introductory course in solving math problems, like AMC8 Level 1, would be a good background, but not mandatory.

AMC8 - Level 1

This is a self contained course intended to introduce students to the curriculum of the AMC8 contest. 

AMC10 - Level 2

This course is an intermediate course based on the AMC10 curriculum.

It is a self-contained course whose goal is to enable students to qualify to AIME.

AMC10 - Level 1

This is a self-contained course that introduces students to the AMC10 contest, Level 1. At the end of the course, students will be able to solve AMC10 level problems, roughly questions 1 to 13.