By the end
What you'll build
- Solve IOQM-style integer-answer problems across number theory, counting, geometry and algebra
- Apply Euclid's algorithm, Fermat's and Euler's theorems to remainder and divisibility questions
- Count with permutations, combinations, stars-and-bars, pigeonhole and invariants
- Chase angles, cyclic quadrilaterals and power-of-a-point through olympiad figures you draw yourself
- Write complete proofs by induction, contradiction and pigeonhole that a grader would accept
The shape of it
How this course works
Short lessons
28 lessons across 5 modules, each small enough to finish in one sitting.
Practice as you go
Every lesson ends with a small space for what you noticed — the doing is the learning.
A certificate at the end
Finish the course and earn a certificate anyone can verify with a link.
Ready when you are.
Make an account and this course opens up — your progress is saved from the very first lesson.