Teaching materials

What we taught, cycle by cycle, and who taught it.

The Academy's teaching runs in cycles. Each cycle is led by a named coach who builds and delivers the material. This archive is the public index of that work. Coaches authorise the release of their notes, whiteboards, and exercises. Each cycle page presents the materials currently cleared for publication, together with its outline and dates.

A record of the four cycles, organised by the mathematics they covered. Each cycle's exercise collection is available to download, so a teacher planning a similar unit can see exactly what was worked, when, and how it fit together.

AY 2025 to 2026 · Four cycles

Cycles of the Academy.

Cycle 1 · Olympiad Geometry & Number Theory

Coach: Melih Üçer. Four sessions, 14 Sept, 28 Sept, 12 Oct, 26 Oct 2025. Angle chasing, Miquel's lemma, divisors and gcd, exponential Diophantine problems.

Exercise collection & sessions →

Cycle 2 · Combinatorial Games & Invariants

Coach: Ilja Uzelac Bujišić. Three live sessions took place on 28 November, 12 December, and 26 December 2025. The cycle closed on 16 January 2026 with teacher presentations. Topics included invariants, monovariants, parity, coloring, game positions, Nim, cellular automata, and Conway's Game of Life.

Exercise collection & sessions →

Cycle 3 · Cauchy Bunyakovsky Schwarz Inequality

Coach: Prof. Zdravko Cvetkovski (Macedonia). Three sessions, 6 Feb, 13 Feb, 27 March 2026, closed 10 April 2026 with teacher presentations. Engel/Titu form, reverse technique, applied olympiad inequalities.

Exercise collection & sessions →

Cycle 4 · Advanced Number Theory

Coach: Dr. Dušan Djukić (University of Belgrade · SANU). Three sessions, 24 April, 9 May, 24 May 2026. Fermat, Euler, multiplicative orders; Lifting the Exponent lemma; primitive roots and residues.

Exercise collection & sessions →

How the Academy sources and corrects material is described on the Editorial policy page. External publications and links out live on the Resources page.