A work-in-progress collection of LaTeX-based math handouts covering Algebra, Combinatorics, Geometry, and Number Theory. Tailored towards AMC/AIME preparation. Prepared with Mathcha. These materials are free to use for self-study or classroom purposes. If you find a typo or have a suggestion for a new topic, please tell me to do so.

ALGEBRA: Rates, Proportion, and Variation; Sequences and Series; Exponents and Logarithms; Polynomials; Special Functions; Complex Numbers; Conic Sections; Induction and Manipulation; Algebraic Trigonometry; Inequalities; Functional Equations; Miscellaneous Topics; Vectors and Matrices

GEOMETRY: Angles, Triangles I, Triangles II, Polygons, Circles I, Analytic Geometry, Stereometry, Geometric Trigonometry, Special Coordinate Systems, Complex Number Geometry, Triangles III, Circles II, Collinearity and Concurrence, Transformations, Inversive Geometry, Projective Geometry

COMBINATORICS: Permutations and Combinations, Basic Probability, Strategy in Counting, Geometric Techniques, Random Variables and Expectation, Basic Statistics, Inclusion and Exclusion, Construction and Bijection, Pigeonhole Principle, Distributions and Stirling Numbers, Induction and Recursion, Conditional Probability, Combinatorial Identities, Events with States, Generating Functions, Graph Theory

NUMBER THEORY: Primes and Divisors, Bases and Digits, Modular Arithmetic, Diophantine Equations, Miscellaneous Topics