Tutoring Course

Our AIME tutoring courses feature proprietary teaching materials and instructors who are graduates from top universities worldwide, with extensive experience in math competition coaching. Classes are personalized for each student, ensuring targeted learning and maximum efficiency. You can also try a free trial session!

AIME Sprint Course

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Masterclass: Core AIME Concepts

  • 2 hours to conquer essential AIME modules

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Latest Course: AIME Double Holiday Intensive – Score 10+

  • Learn with a top Peking University alumnus in a 24-hour intensive program, tackling all difficult topics

Suitable for students who:

  1. AMC 10 score ≥ 120 or AMC 12 score ≥ 105

  2. Already have systematic AMC or AIME experience; the sprint course emphasizes advanced problem solving and extension of key concepts

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AIME Trial Lessons

Students interested in tutoring can scan the QR code to consult and select a trial course that meets their needs.

Course Examples:

  • Full AIME Math Competition Tutoring Program

  • AIME Sprint Tutoring Course

  • AIME Compiled Lecture Notes

Full AIME Tutoring Program

Competition Overview:

  • AIME is open to top performers in AMC 10 and AMC 12, with exact qualification percentages varying yearly based on participation.

  • AIME bridges AMC 10/12 and USAMO, selecting students for USAMO and ultimately the six-member U.S. IMO team via further tests and the Mathematical Olympiad Program (MOP).

  • The competition began in 1983. Since 2000, it has been offered as AIME I and AIME II.

Enrollment Requirements:

  1. Targeted at students currently capable of qualifying for AIME

  2. Small class sizes (3–8 students), minimum 3 to start

Important Notes for Students:

  • Class start dates may adjust slightly due to different school schedules; the confirmed schedule takes precedence

  • Once class times are fixed, they will not change. Students must attend each session unless prior notice is given for special circumstances

  • Online courses are fully interactive live sessions; recorded sessions are available if needed

Course Outline

Number Theory:

  1. Prime Factorization

    • Number of factors

    • Sum/Product of factors

    • LCM and GCD

    • Euclidean Algorithm & Bézout's Theorem

  2. Congruence & Modular Algebra

    • Chinese Remainder Theorem (CRT)

    • Euler’s Theorem / Fermat's Little Theorem

    • Wilson's Theorem

  3. Diophantine Equations

    • Estimation and Modular Methods

Algebra:

  1. Recursive Sequences

    • Characteristic Equation Method

    • Conjecture & Mathematical Induction Proof

  2. Functions & Equations

    • Gaussian / Floor Functions

    • Functional Equations

  3. Inequalities & Extreme Value Problems

    • Cauchy Inequality

    • Jensen's Inequality

    • Weighted AM–GM Inequality

    • Rearrangement & Chebyshev Inequalities

  4. Polynomials

    • Fundamental Theorem of Algebra & Factorization

    • Generalized Remainder Theorem

    • Rational Root Theorem

    • Vieta’s Theorem & Newton’s Sums

  5. Complex Numbers

    • De Moivre's Theorem & Roots of Unity

    • Rotation, Translation & Complex Vector Methods

Geometry:

  1. Basic Geometry (Triangles & Polygons)

    • Law of Sines & Law of Cosines

    • Area Method & Heron’s Formula

    • Triangle Centers

    • Menelaus, Ceva, and Stewart Theorems

  2. Circles

    • Inscribed/Circumscribed Polygons and Circles, Cyclic Quadrilaterals

    • Ptolemy’s Theorem, Butterfly Theorem

  3. Analytic Geometry

    • Ellipse, Parabola, Hyperbola

  4. Solid Geometry

    • Euler’s Polyhedron Formula

Combinatorics:

  1. Basic Counting Principles – Sum and Product Rules

  2. Permutations & Combinations – Advanced combinatorial problems

  3. Logic & Reasoning – Pigeonhole Principle

The sprint course is faster-paced, assuming students already have prior AMC or AIME experience, focusing on difficult problems and advanced extensions of key concepts.

Scan the QR code to try a free session ⇓

AIME Compiled Lecture Notes

AIME (American Invitational Mathematics Examination) is known for high difficulty and long exam duration, testing problem-solving skills, mathematical reasoning, and endurance. Success requires early preparation and long-term training planning.

Notes are divided into four main sections:

  1. Number Theory: Divisibility, congruences, primes, digit problems – requiring clever reasoning

  2. Algebra: Equations, inequalities, polynomials, functions – emphasizing calculation skill and logic

  3. Geometry: Plane and solid geometry, including triangles, circles, polygons, area, and volume – testing spatial intuition

  4. Combinatorics: Permutations, combinations, probability, generating functions – requiring creative strategies

Advanced Techniques & Olympiad Knowledge:

  • Some Olympiad-level topics and techniques are included to help students tackle complex problems with confidence.

Scan the QR code to consult the high-definition AIME lecture notes ⇓

Online Consultation
Online Consultation