This course covers the algebra part. It has 7 lessons and each lesson lasts 2 hours. There is homework after each lesson.

Class Syllabus

Lesson 1 (AMC 10/12) Algebra: Arithmetic Calculation, Linear Equation, Proportionality, Linear Equation Set

Lesson 2 (AMC 10/12) Algebra: Factoring, Rational Number

Lesson 3 (AMC 10/12) Algebra: Fraction, Algebraic evaluation, Fractional equation, identities, variable substitution

Lesson 4 (AMC 10/12) Algebra: Complete square, Method of undetermined coefficients, Radicals, Quadratic equation, Vieta

Lesson 5 (AMC 10/12) Algebra: Equation set, Identities, [x] and {x}, quadratic function, quadratic inequality, higher degree inequality

Lesson 6 (AMC 10/12) Algebra: Sequences, function equation

Lesson 7 (AMC 10/12) Algebra: irrational inequality, advanced inequality, maximum and minimum values

This course covers the geometry part. It has 6 lessons and each lesson lasts 2 hours. There is homework after each lesson. 

Class Syllabus

Lesson 1 (AMC 10/12) Geometry: Locus, Construction, Polygon, Transformation, Angle and Area

Lesson 2 (AMC 10/12) Geometry: Congruent Triangles, Translations, Rotation, Parallelogram

Lesson 3 (AMC 10/12) Geometry: Quadrilateral, Transformation with invariant area, Similar shapes

Lesson 4 (AMC 10/12) Geometry: Circles

Lesson 5 (AMC 10/12) Geometry: Law of Cosine, Law of Sines, Algebraic method , Geometric invariance

Lesson 6 (AMC 10/12) Geometry: Geometric inequality, areas

This course covers the number theory part. It has 5 lessons and each lesson lasts 2 hours. There is homework after each lesson.  

Class Syllabus

Lesson 1 (AMC 10/12) Number Theory: Divisibility, Prime Factorization, Perfect Squares, Congruence

Lesson 2 (AMC 10/12) Number Theory: Diophantine equation, Last digits, Number bases

Lesson 3 (AMC 10/12) Number Theory: Prime and composite numbers, LCM and GCD

Lesson 4 (AMC 10/12) Number Theory: Congruence, residue system, Fermat little Theorem

Lesson 5 (AMC 10/12) Number Theory: Pythagorean triples, More Diophantine equation

This course covers the combinatorics part. It has 6 lessons and each lesson lasts 2 hours. There is homework after each lesson.  

Class Syllabus

Lesson 1 (AMC 10/12) Combinatorics: Basic Counting, Stars and Bars, Enumeration, Correspondence, Recurrences

Lesson 2 (AMC 10/12) Combinatorics: Coloring, Pigeon holes, Principle of inclusion and exclusion

Lesson 3 (AMC 10/12) Combinatorics: Combinatorial geometry, Basic Graph Theory

Lesson 4 (AMC 10/12) Combinatorics: Problems on Chess Board, Logic problems, Best Strategy

Lesson 5 (AMC 10/12) Combinatorics: Sets, Expected Value, Generating Function

Lesson 6 (AMC 10/12) Combinatorics: Bijection, Correspondence, Binomial Coefficients

This 6-lesson course covers the topics that are in AMC 12 contest but not in AMC 10 contest such as logarithmic functions, complex numbers and trigonometric functions. 

Lesson 1 (AMC 12 only) Exponential function, Logarithmic functions

Lesson 2 (AMC 12 only) Complex number, trigonometry form, modulus of complex number

Lesson 3 (AMC 12 only) Complex number: roots of unity, application in geometry

Lesson 4 (AMC 12 only) Trigonometry and its application in geometry

Lesson 5 (AMC 12 only) Advanced topics in complex number and trigonometry

Lesson 6 (AMC 12 only) 3-D Geometry