About this course

Most students don’t struggle in first-year university math because the ideas are too hard — they struggle because they haven't learned to read, write, and argue like mathematicians.

Approach

The course is taught by a University of Toronto professor and is designed specifically to address the failure modes that trip up strong students: quantifier confusion, over-reliance on intuition, informal argumentation.

The course also draws on topics from combinatorics, linear algebra, and number theory — not to survey them, but to use them as training ground. The goal is depth over breadth: building the mathematical muscle that makes every university course in these areas easier to tackle.

Format

Two 3-hour sessions per week, Mondays and Thursdays, over 5 consecutive weeks. Assistance is available online throughout the week between classes, so students aren't left stuck on a tricky proof until the next session.

No special materials required. Just pencil, paper, and a willingness to read slowly. Calculators are neither needed nor useful.

Participation in the Eastbridge Academy Discord server is encouraged, but not required.

Discounts

The price shown above already reflects the early-bird 25% discount, available through June 15. An additional 10% referral bonus can also be applied — get in touch before registering if a current Eastbridge student referred you.

Topics covered

Formal Foundations

Functions, sets, and logic, with serious attention to quantifiers.

Proof Techniques

Direct proof, contradiction, contrapositive, and induction.

The ε-δ Foundation of Convergence

A careful, honest introduction to limits: the concept that derails most first-year calculus students.

Mathematical Communication

The phrasing, structure, and discipline of a well-written argument.