Advanced (AIME)
Tackle olympiad-level ideas and harder AIME/USAMO crossover topics such as advanced number theory, geometry transformations, and deep algebraic methods.
Expect longer chains of reasoning and proof-oriented structure.
This section is currently under development. The content you see here is filler for now.
Modules Progress
Problems Progress
Strong Number Theory
Lifting the exponent, orders, and deeper divisibility arguments.
Advanced Counting
Generating functions, bijections, and harder combinatorial arguments.
Polynomials & Roots
Root bounding, irreducibility, and polynomial manipulation.
Complex Numbers
Advanced complex number techniques for AIME geometry and algebra.
Advanced Geometry
Projective methods, inversions, homothety, and spiral similarity.
Advanced Geometry
Cevians, homothety, and power of a point for AIME.
Updated: 5 days ago
Sphere Geometry
Surface area, volume, and planar cross-sections.
Updated: 5 days ago
Angle Chasing Mastery
Systematic angle relationships in complex diagrams.
Updated: 5 days ago
Homothety and Spiral Similarity
Scaling and rotation transformations for advanced geometry.
Updated: 5 days ago
Trig in Contests
Contest-specific trig tricks and identities.
Inequalities (AIME)
Schur, SOS, and multi-variable inequality techniques.
Generating Functions
Using formal power series to solve counting problems.
Functional Equations (AIME)
Harder functional equations requiring injectivity and Cauchy-type analysis.