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AP Precalculus

4 units · 27 topics · 1,137 lessons · Exam: May

Functions as models of change: polynomial, rational, exponential, logarithmic, trigonometric, and polar, plus parameters, vectors, and matrices.

  1. 1Polynomial and Rational Functions
  2. 2Exponential and Logarithmic Functions
  3. 3Trigonometric and Polar Functions
  4. 4Functions Involving Parameters, Vectors, and Matrices
1

Polynomial and Rational Functions

Rates of change, polynomials, rational functions, and modeling.

  1. 1Rates of ChangeUp next60 lessons
  2. 2Polynomial Functions and Their Zeros41 lessons
  3. 3End Behavior of Polynomial and Rational Functions7 lessons
  4. 4Rational Functions and Asymptotes71 lessons
  5. 5Equivalent Representations and Long Division26 lessons
  6. 6Transformations of Functions49 lessons
  7. 7Function Model Selection17 lessons
2

Exponential and Logarithmic Functions

Sequences, exponentials, logarithms, and data modeling.

  1. 1Arithmetic and Geometric Sequences43 lessons
  2. 2Exponential Functions41 lessons
  3. 3Exponential Modeling and Model Validation7 lessons
  4. 4Composition and Inverse Functions56 lessons
  5. 5Logarithmic Functions32 lessons
  6. 6Exponential and Logarithmic Equations84 lessons
  7. 7Semi-log Plots37 lessons
3

Trigonometric and Polar Functions

Periodic functions, sinusoids, trig equations, and polar graphs.

  1. 1Periodic Phenomena and the Unit Circle35 lessons
  2. 2Sine and Cosine Graphs22 lessons
  3. 3Sinusoidal ModelsCoverage growing
  4. 4Tangent and Inverse Trig Functions85 lessons
  5. 5Trigonometric Equations and Identities68 lessons
  6. 6Secant, Cosecant, and CotangentCoverage growing
  7. 7Polar Coordinates and Graphs78 lessons
  8. 8Rates of Change in Polar Functions28 lessons
4

Functions Involving Parameters, Vectors, and Matrices

Parametric functions, conics, vectors, and matrices. Not assessed on the AP exam.

  1. 1Parametric Functions23 lessons
  2. 2Implicitly Defined Functions and Conic Sections30 lessons
  3. 3Vectors45 lessons
  4. 4Matrices and Linear Transformations32 lessons
  5. 5Matrices as Functions and ModelsCoverage growing