Grade 11 & 12 Math
For advanced students ready to engage with university-level mathematical concepts.
Contest preparation (Fermat, Euclid, COMC)- Rigorous early calculus
- Advanced combinatorics and number theory
Fall Term 2025 (11 weekly classes)
Wednesdays 6:00 - 8:00PM
October 8 - December 17, 2025
$660/term ($60/class)
About this course
The Grade 11 and 12 math program is designed for students who are preparing to expand their mathematical horizons beyond the secondary school curriculum.
Each week will consist of an in-person 2 hour problem-solving session, during which students will present their solutions to a weekly problem set. The problem sets are designed to be accessible to students with a strong foundation in the Ontario curriculum, but will challenge them to think creatively and deeply.
Lectures on special additional topics outside the curriculum will be given on several occasions, and these topics will be covered in the more challenging problem sets.
No special supplies are required for the course, outside of pencil and paper. Even a calculator (though permitted) will not be of much use.
Participation in the Eastbridge Academy Discord server is encouraged, but not required.
Topics covered
Geometry
We will build on the foundation of Euclidean geometry and expand our toolkit to include projective geometry, inversion, and other advanced techniques.
Calculus
In addition to using calculus as the powerful problem-solving tool it is, we will also prepare students for the more rigorous treatment of convergence, limits, and continuity that is required for university-level mathematics.
Number Theory
Number theory is the study of the properties of integers, and the closest thing mathematics has to an empirical science. We will cover many of the basic problem-solving techniques, from the Euclidean algorithm to modular arithmetic.
Polynomials
The quest to solve polynomial equations has led to many of the most beautiful and powerful results in mathematics, from the closed form solution to the quartic to Galois theory and the Fourier transform. Although we can only briefly touch on these topics within the confines of a problem-solving course, the problems we solve will give students a taste for polynomials' broad applicability.
Inequalities
We will cover many of the classical theorems and techniques, from AM-GM to the Cauchy-Schwarz inequality.
Contests
In the leadup to the contests below, we will narrow our focus to topics and strategies that are most relevant to each. After each contest, we will do a retrospective and take every problem up in detail.
If any students are interested in participating but are not already registered through their school, we can make arrangements to enroll them.
| Contest | Date | Students |
|---|---|---|
| COMC | October 30, 2025 | Gr 9-12 |
| CSMC | November 12, 2025 | Gr 11-12 |
| Fermat | February 25, 2026 | Gr 11 |
| Euclid | March 31, 2026 | Gr 12 |
| Hypatia | April 1, 2026 | Gr 11 |