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Build a strong foundation in functions, trigonometry, vectors, matrices, and complex numbers to prepare for calculus.
This AP Precalculus course on Study Mondo covers 13 topics organized across 4 categories. Each topic includes detailed written explanations, worked examples, practice problems with step-by-step solutions, flashcards for review, and interactive lessons to help you master the material.
All content is completely free. Start with any category below, or jump to a specific topic that you need help with.
Take a diagnostic test covering all AP Precalculus units. Identify gaps and get a targeted study plan.
Jump into high-impact topics and keep your study momentum moving.
Understanding polynomial and rational functions, their graphs, and behavior
Analyze polynomial functions, their zeros, multiplicity, and end behavior.
Analyze rational functions including vertical, horizontal, and slant asymptotes.
Apply transformations including shifts, reflections, stretches, and compositions.
Properties and applications of exponential and logarithmic functions
Unit circle, trigonometric functions, identities, and equations
Learn how to convert between degrees and radians, and understand radian measure.
This topic has been split into three focused topics: Degrees and Radians, Arc Length and Sector Area, and The Unit Circle.
Fundamental trigonometric identities including Pythagorean, reciprocal, quotient, and even-odd identities
Calculate arc lengths and sector areas using radian measure.
Master the unit circle, special angles, reference angles, and the CAST rule.
Parametric equations, vectors, and matrix operations
Master parametric equations: graphing curves, eliminating the parameter, derivatives, and motion applications.
Learn vector operations, magnitude, unit vectors, dot product, projections, and real-world applications.
Explore the polar coordinate system, conversions, graphing polar curves, and classic polar equations.