AP Precalculus

Course at a Glance

Unit 1 Polynomial and Rational Functions

  • 1.1 Change in Tandem
  • 1.2 Rates of Change
  • 1.3 Rates of Change in Linear and Quadratic Functions
  • 1.4 Polynomial Functions and Rates of Change
  • 1.5 Polynomial Function and Complex Zeros
  • 1.6 Polynomial Functions and End Behaviour
  • 1.7 Rational Functions and End Behaviour
  • 1.8 Rational Functions and Zeros
  • 1.9 Rational Functions and Vertical Asymptote's
  • 1.10 Rational Functions and Holes
  • 1.11 Equivalent Representation of Polynomial and Rational Expression
  • 1.12 Transformation of Functions
  • 1.13 Function Model Selection And Assumption Articulation
  • 1.14 Function Model Construction and Application

Unit 2 Exponential and Logarithmic Functions 

  • 2.1 Change in Arithmetic and Geometric Sequences
  • 2.2 Change in Linear and Exponential Functions
  • 2.3 Exponential Functions
  • 2.4 Exponential Function Manipulation
  • 2.5 Exponential Function Context and Data Modeling
  • 2.6 Competing Function Model Validation
  • 2.7 Composition of Functions
  • 2.8 Inverse Functions
  • 2.9 Logarithmic Expressions
  • 2.10 Inverses of Exponential Functions
  • 2.11 Logarithmic Functions
  • 2.12 Logarithmic Function Manipulation
  • 2.13 Exponential and Logarithmic Equations and Inequalities
  • 2.14 Logarithmic Function Context and Data Modeling
  • 2.15 Semi-log Plots

Unit 3 Trigonometric and Polar Functions 

 

  • 3.1 Periodic Phenomena
  • 3.2 Sine, Cosine and Tangent
  • 3.3 Sine and Cosine Function Values
  • 3.4 Sine and Cosine Function Graphs
  • 3.5 Sinusoidal Functions
  • 3.6 Sinusoidal Function Transformations
  • 3.7 Sinusoidal Function Context and Data Modeling
  • 3.8 The Tangent Function
  • 3.9 Inverse Trigonometric Functions
  • 3.10 Trigonometric equations and inequality
  • 3.11 The Secant, Cosecant, and Cotangent functions
  • 3.12 Equivalent Representations of Trigonometric Functions
  • 3.13 Trigonometry and Polar Coordinates
  • 3.14 Polar Function Graph
  • 3.15 Rates of Change in Polar Functions

Unit 4 Functions Involving Parameters, Vectors, and Metrices

  • 4.1 Parametric Functions
  • 4.2 Parametric Functions Modeling Planer Motion
  • 4.3 Parametric Functions and Rates of Change
  • 4.4 Parametrically Defined Circles and Lines
  • 4.5 Implicitly Defined Functions
  • 4.6 Conic Sections
  • 4.7 Parametrization of Implicitly Defined Functions
  • 4.8 Vectors
  • 4.9 Vector-Valued Functions
  • 4.10 Metrices
  • 4.11 The Inverse and Determinant of a Matrix
  • 4.12 Linear Transformations and Matrices
  • 4.13 Matrices as Functions
  • 4.14 Matrices Modeling Contexts