• Unit 1: Polynomial and Rational Functions

  • Rates Of Change In Functions

  • Polynomial Functions And Complex Zeros

  • Polynomial Functions And End Behavior

  • Rational Functions And Asymptotes

  • Rational Functions And Holes

  • Equivalent Representations Of Functions

  • Transformations Of Functions

  • Function Model Selection And Assumptions

  • Function Model Construction And Applications

​​​

• Unit 2: Exponential and Logarithmic Functions

  • Arithmetic And Geometric Sequences

  • Exponential Functions

  • Exponential Function Manipulation

  • Exponential Function Context And Data Modeling

  • Composition Of Functions

  • Inverse Functions

  • Logarithmic Expressions

  • Logarithmic Functions

  • Logarithmic Function Manipulation

  • Exponential And Logarithmic Equations And Inequalities

  • Logarithmic Function Context And Data Modeling

  • Semi-Log Plots

​​

• Unit 3: Trigonometric and Polar Functions ​

  • Periodic Phenomena

  • Sine Cosine And Tangent Functions

  • Sine And Cosine Function Values

  • Sine And Cosine Function Graphs

  • Sinusoidal Functions

  • Sinusoidal Function Transformations

  • Sinusoidal Function Context And Data Modeling

  • The Tangent Function

  • Inverse Trigonometric Functions

  • Trigonometric Equations And Inequalities

  • Secant Cosecant And Cotangent Functions

  • Equivalent Representations Of Trigonometric Functions

  • Trigonometry And Polar Coordinates

  • Polar Function Graphs

  • Rates Of Change In Polar Functions

​​​

• Unit 4: Parametric Functions, Vector, and Matrices

  • Parametric Functions

  • Parametric Functions Modeling Planar Motion

  • Parametric Functions And Rates Of Change

  • Parametrically Defined Circles And Lines

  • Implicitly Defined Functions

  • Parametrization Of Implicitly Defined Functions

  • Vectors

  • Vector-Valued Functions

  • Matrix Operations

  • The Inverse And Determinant Of A Matrix

  • Linear Transformations And Matrices

  • Matrices As Functions

  • Matrix Modeling Contexts