🎯 Precalculus Mastery Guide

📚 Reference Materials

Scope Map: AMC 10 vs AMC 12 topic coverage
Notation Cheatsheet: Essential symbols and conventions
Concept Atlas: Quick primers on all major topics

🧭 Topic Guides

Core precalculus concepts with AMC-focused examples:

Functions & Transformations - domains, ranges, inverses, shifts
Equations & Inequalities - absolute value, systems, AM-GM
Polynomials & Rational Functions - Vieta’s formulas, asymptotes
Exponents & Logarithms - laws, change-of-base, growth/decay
Trigonometry - unit circle, identities, laws of sines/cosines
Complex Numbers - algebra, polar form, De Moivre’s theorem
Sequences & Series - arithmetic/geometric, telescoping
Coordinate Geometry - lines, circles, conics (AMC 12)

🧩 Problem Types

Pattern recognition and solution templates:

Trig Equations & Identities - solving strategies
Logarithm & Exponential - equation solving techniques
Polynomial Manipulation - Vieta’s, remainder theorem
Complex Number Geometry - rotations, loci, roots of unity
Inequality Techniques - AM-GM, Cauchy-Schwarz

📏 Essential Resources

Essential Formulas — Compact formula bank with micro-examples
Problem-Solving Tips — Heuristics, checklists, timing strategies

📘 Practice Problems

Practice Hub — Comprehensive AMC-style practice with mixed sets, topic drills, and mock exams

Next: Strategy | Prev: Number Theory | Back: AMC 10 Overview