ap. AP Prep
Mathematics / Precalculus

AP Precalculus

Build fluency with polynomial, exponential, trigonometric, and more advanced functions. Follow the official AP course framework, one topic at a time.

Your course roadmap

01 Polynomial and Rational Functions14 topics
  1. 1.1
    Change in Tandem
  2. 1.2
    Rates of Change
  3. 1.3
    Rates of Change in Linear and Quadratic Functions
  4. 1.4
    Polynomial Functions and Rates of Change
  5. 1.5
    Polynomial Functions and Complex Zeros
  6. 1.6
    Polynomial Functions and End Behavior
  7. 1.7
    Rational Functions and End Behavior
  8. 1.8
    Rational Functions and Zeros
  9. 1.9
    Rational Functions and Vertical Asymptotes
  10. 1.10
    Rational Functions and Holes
  11. 1.11
    Equivalent Representations of Polynomial and Rational Expressions
  12. 1.12
    Transformations of Functions
  13. 1.13
    Function Model Selection and Assumption Articulation
  14. 1.14
    Function Model Construction and Application
02 Exponential and Logarithmic Functions15 topics
  1. 2.1
    Change in Arithmetic and Geometric Sequences
  2. 2.2
    Change in Linear and Exponential Functions
  3. 2.3
    Exponential Functions
  4. 2.4
    Exponential Function Manipulation
  5. 2.5
    Exponential Function Context and Data Modeling
  6. 2.6
    Competing Function Model Validation
  7. 2.7
    Composition of Functions
  8. 2.8
    Inverse Functions
  9. 2.9
    Logarithmic Expressions
  10. 2.10
    Inverses of Exponential Functions
  11. 2.11
    Logarithmic Functions
  12. 2.12
    Logarithmic Function Manipulation
  13. 2.13
    Exponential and Logarithmic Equations and Inequalities
  14. 2.14
    Logarithmic Function Context and Data Modeling
  15. 2.15
    Semi-log Plots
03 Trigonometric and Polar Functions15 topics
  1. 3.1
    Periodic Phenomena
  2. 3.2
    Sine, Cosine, and Tangent
  3. 3.3
    Sine and Cosine Function Values
  4. 3.4
    Sine and Cosine Function Graphs
  5. 3.5
    Sinusoidal Functions
  6. 3.6
    Sinusoidal Function Transformations
  7. 3.7
    Sinusoidal Function Context and Data Modeling
  8. 3.8
    The Tangent Function
  9. 3.9
    Inverse Trigonometric Functions
  10. 3.10
    Trigonometric Equations and Inequalities
  11. 3.11
    The Secant, Cosecant, and Cotangent Functions
  12. 3.12
    Equivalent Representations of Trigonometric Functions
  13. 3.13
    Trigonometry and Polar Coordinates
  14. 3.14
    Polar Function Graphs
  15. 3.15
    Rates of Change in Polar Functions
04 Functions Involving Parameters, Vectors, and Matrices14 topics
  1. 4.1
    Parametric Functions
  2. 4.2
    Parametric Functions Modeling Planar Motion
  3. 4.3
    Parametric Functions and Rates of Change
  4. 4.4
    Parametrically Defined Circles and Lines
  5. 4.5
    Implicitly Defined Functions
  6. 4.6
    Conic Sections
  7. 4.7
    Parametrization of Implicitly Defined Functions
  8. 4.8
    Vectors
  9. 4.9
    Vector-Valued Functions
  10. 4.10
    Matrices
  11. 4.11
    The Inverse and Determinant of a Matrix
  12. 4.12
    Linear Transformations and Matrices
  13. 4.13
    Matrices as Functions
  14. 4.14
    Matrices Modeling Contexts