AP Precalculus study notes
Short notes for every topic in AP Precalculus, unit by unit, each with key terms and a sample AP-style question.
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Study AP Precalculus free in APrepUnit 1: Polynomial & Rational Functions
- 1.1Change in Tandem
- 1.2Rates of Change
- 1.3Rates of Change in Linear and Quadratic Functions
- 1.4Polynomial Functions and Rates of Change
- 1.5Polynomial Functions and Complex Zeros
- 1.6Polynomial Functions and End Behavior
- 1.7Rational Functions and End Behavior
- 1.8Rational Functions and Zeros
- 1.9Rational Functions and Vertical Asymptotes
- 1.10Rational Functions and Holes
- 1.11Equivalent Representations of Polynomial and Rational Expressions
- 1.12Transformations of Functions
- 1.13Function Model Selection and Assumption Articulation
- 1.14Function Model Construction and Application
Unit 2: Exponential & Logarithmic Functions
- 2.1Change in Arithmetic and Geometric Sequences
- 2.2Change in Linear and Exponential Functions
- 2.3Exponential Functions
- 2.4Exponential Function Manipulation
- 2.5Exponential Function Context and Data Modeling
- 2.6Competing Function Model Validation
- 2.7Composition of Functions
- 2.8Inverse Functions
- 2.9Logarithmic Expressions
- 2.10Inverses of Exponential Functions
- 2.11Logarithmic Functions
- 2.12Logarithmic Function Manipulation
- 2.13Exponential and Logarithmic Equations and Inequalities
- 2.14Logarithmic Function Context and Data Modeling
- 2.15Semi-log Plots
Unit 3: Trigonometric & Polar Functions
- 3.1The Unit Circle
- 3.2Radians and Degrees
- 3.3Circular Functions and Their Graphs
- 3.4Sinusoidal Functions
- 3.5Sinusoidal Function Context and Data Modeling
- 3.6The Tangent Function
- 3.7Inverse Trigonometric Functions
- 3.8Trigonometric Equations and Inequalities
- 3.9The Secant, Cosecant, and Cotangent Functions
- 3.10Equivalent Representations of Trigonometric Functions
- 3.11Trigonometry and Polar Coordinates
- 3.12Polar Function Graphs
- 3.13Rates of Change in Polar Functions
Unit 4: Parameters, Vectors & Matrices
- 4.1Parametric Functions
- 4.2Parametric Functions Modeling Planar Motion
- 4.3Parametrically Defined Circles and Lines
- 4.4Implicitly Defined Functions
- 4.5Conic Sections
- 4.6Vectors
- 4.7Vector-Valued Functions
- 4.8Matrices
- 4.9The Inverse and Determinant of a Matrix
- 4.10Linear Transformations and Matrices
- 4.11Matrices as Functions
- 4.12Matrices Modeling Contexts