Modules
(Precalc) Chapter 1 - Functions and Their Graphs
Lessons
- Precalculus – Section 1.1 – Lines in the Plane
- Precalculus – Section 1.2 – Functions
- Precalculus – Section 1.3 – Graphs of Functions
- Precalculus – Section 1.4 – Shifting, Reflecting, and Stretching Graphs
- Precalculus – Section 1.5 – Combinations of Functions
- Precalculus – Section 1.6 – Inverse Functions
- Precalculus – Section 1.7 – Linear Models and Scatter Plots
Chapter 2 - Polynomial and Rational Functions
Lessons
- Precalculus – Section 2.1 – Quadratic Functions
- Precalculus – Section 2.2 – Polynomial Functions of Higher Degree
- Precalculus – Section 2.3 – Real Zeros of Polynomial Functions
- Precalculus – Section 2.4 – Complex Numbers
- Precalculus – Section 2.5 – The Fundamental Theorem of Algebra
- Precalculus – Section 2.6 – Rational Functions and Asymptotes
- Precalculus – Section 2.7 – Graphs of Rational Functions
- Precalculus – Section 2.8 – Quadratic Models
Chapter 3 - Exponential and Logarithmic Functions
Lessons
- Precalculus – Section 3.1 – Exponential Functions and Their Graphs
- Precalculus – Section 3.2 – Logarithmic Functions and Their Graphs
- Precalculus – Section 3.3 – Properties of Logarithms
- Precalculus – Section 3.4 – Solving Exponential and Logarithmic Equations
- Precalculus – Section 3.5 – Exponential and Logarithmic Models
- Precalculus – Section 3.6 – Nonlinear Models
Chapter 4 - Trigonometric Functions
Lessons
- Precalculus – Section 4.1 – Radian and Degree Measure
- Precalculus – Section 4.2 – Trigonometric Functions: The Unit Circle
- Precalculus – Section 4.3 – Right Triangle Trigonometry
- Precalculus – Section 4.4 – Trigonometric Functions of Any Angle
- Precalculus – Section 4.5 – Graphs of Sine and Cosine Functions
- Precalculus – Section 4.6 – Graphs of Other Trigonometric Functions
- Precalculus – Section 4.7 – Inverse Trigonometric Functions
- Precalculus – Section 4.8 – Applications and Models
Chapter 5 - Analytic Trigonometry
Lessons
- Precalculus – Section 5.1 – Using Fundamental Identities
- Precalculus – Section 5.2 – Verifying Trigonometric Identities
- Precalculus – Section 5.3 – Solving Trigonometric Equations
- Precalculus – Section 5.4 – Sum and Difference Formulas
- Precalculus – Section 5.5 – Multiple-Angle and Product-to-Sum Formulas
Chapter 6 - Additional Topics in Trigonometry
Lessons
Chapter 7 - Linear Systems and Matrices
Lessons
- Precalculus – Section 7.1 – Solving Systems of Equations
- Precalculus – Section 7.2 – Systems of Linear Equations in Two Variables
- Precalculus – Section 7.3 – Multivariable Linear Systems
- Precalculus – Section 7.4 – Matrices and Systems of Equations
- Precalculus – Section 7.5 – Operations with Matrices
- Precalculus – Section 7.6 – The Inverse of a Square Matrix
- Precalculus – Section 7.7 – The Determinant of a Square Matrix
- Precalculus – Section 7.8 – Applications of Matrices and Determinants
Chapter 8 - Sequences, Series, and Probability
Lessons
- Precalculus – Section 8.1 – Sequences and Series
- Precalculus – Section 8.2 – Arithmetic Sequences and Partial Sums
- Precalculus – Section 8.3 – Geometric Sequences and Series
- Precalculus – Section 8.4 – Mathematical Induction
- Precalculus – Section 8.5 – The Binomial Theorem
- Precalculus – Section 8.6 – Counting Principles
- Precalculus – Section 8.7 – Probability
Chapter 9 - Topics in Analytic Geometry
Lessons
- Precalculus – Section 9.1 – Circles and Parabolas
- Precalculus – Section 9.2 – Ellipses
- Precalculus – Section 9.3 – Hyperbolas
- Precalculus – Section 9.4 – Rotation and Systems of Quadratic Equations
- Precalculus – Section 9.5 – Parametric Equations
- Precalculus – Section 9.6 – Polar Coordinates
- Precalculus – Section 9.7 – Graphs of Polar Equations
- Precalculus – Section 9.8 – Polar Equations of Conics