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AIME

Competition

AIME preparation: number theory, counting, polynomials, geometry and trigonometry at the level of 15 problems in 3 hours.

9 topics · 29 lessons about 17 hoursBefore this: AMC 10, Precalculus

What you'll be able to do

  • Solve multi-step AIME problems to a three-digit answer
  • Use Vieta, roots of unity, cevians and recurrences fluently

Start the course

Go through each topic step by step — prose, worked examples, quick checks, and a timed practice round after every section.

Every test ends with a score by topic and a list of what to revisit. Test out of a topic with 80% or better to mark it mastered.

Topics

1.

Advanced Number Theory

3 lessons

CRT, orders, and totients

2.

Advanced Counting

3 lessons

Recursion, expectation, and the binomial theorem

3.

Polynomials

3 lessons

Newton and the roots-of-unity filter

4.

Geometry: Coordinates & Complex

4 lessons

Analytic and complex methods

5.

Cevians & Mass Points

3 lessons

Ratio-chasing: Ceva, Menelaus, masses, and areas

6.

Trig Formulas That Win

3 lessons

The identities contest problems are built from

7.

Recurrences & Characteristic Equations

3 lessons

Closed forms for linear recursions

8.

Telescoping & Recursion

3 lessons

Sums that collapse and sequences that build

9.

Heavy Machinery, Proved

4 lessons

Stewart, Ptolemy, and roots of unity — with their proofs

10.

Complete Syllabus & Gap Fillers

2 lessons

Everything the AIME tests, with the pieces that were missing

11.

Formulas & Methods

3 lessons

The AIME toolkit: every formula, and the method that makes it a solution