Topics in Precalculus extend concepts learned in Algebra II and also include all topics contained in a typical trigonometry course as well as conic sections, significant use of the graphing calculator, polar coordinates, vectors, geometry in three dimensions, limits, and an introduction to calculus.

## 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

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