Topics include the study of functions extends to higher degree functions, transformations of graphs, and inverse functions. The study of quadratic functions in Algebra II extends to polynomial functions of higher degree and transformations of graphs. The study of matrices extends to operations with matrices and applications. Exponential and logarithmic functions as well as the study of conics are included. Use of the graphing calculator is emphasized.

## Modules

## Chapter P - Prerequisites

### Lessons

- College Algebra – Section P.1 – Real Numbers
- College Algebra – Section P.2 – Exponents and Radicals
- College Algebra – Section P.3 – Polynomials and Factoring
- College Algebra – Section P.4 – Rational Expressions
- College Algebra – Section P.5 – The Cartesian Plane
- College Algebra – Section P.6 – Representing Data Graphically

## Chapter 1 - Functions and Their Graphs

### Lessons

- College Algebra – Section 1.1 – Graphs of Equations
- College Algebra – Section 1.2 – Lines in the Plane
- College Algebra – Section 1.3 – Functions
- College Algebra – Section 1.4 – Graphs of Functions
- College Algebra – Section 1.5 – Shifting, Reflecting, and Stretching Graphs
- College Algebra – Section 1.6 – Combinations of Functions
- College Algebra – Section 1.7 – Inverse Functions

## Chapter 2 - Solving Equations and Inequalities

### Lessons

- College Algebra – Section 2.1 – Linear Equations and Problem Solving
- College Algebra – Section 2.2 – Solving Equations Graphically
- College Algebra – Section 2.3 – Complex Numbers
- College Algebra – Section 2.4 – Solving Quadratic Equations Algebraically
- College Algebra – Section 2.5 – Solving Other Types of Equations Algebraically
- College Algebra – Section 2.6 – Solving Inequalities Algebraically and Graphically
- College Algebra – Section 2.7 – Linear Models and Scatter Plots

## Chapter 3 - Polynomial and Rational Functions

### Lessons

- College Algebra – Section 3.1 – Quadratic Functions
- College Algebra – Section 3.2 – Polynomial Functions of Higher Degree
- College Algebra – Section 3.3 – Real Zeros of Polynomial Functions
- College Algebra – Section 3.4 – The Fundamental Theorem of Algebra
- College Algebra – Section 3.5 – Rational Functions and Asymptotes
- College Algebra – Section 3.6 – Graphs of Rational Functions
- College Algebra – Section 3.7 – Quadratic Models

## Chapter 4 - Exponential and Logarithmic Functions

### Lessons

- College Algebra – Section 4.1 – Exponential Functions and Their Graphs
- College Algebra – Section 4.2 – Logarithmic Functions and Their Graphs
- College Algebra – Section 4.3 – Properties of Logarithms
- College Algebra – Section 4.4 – Solving Exponential and Logarithmic Equations
- College Algebra – Section 4.5 – Exponential and Logarithmic Models
- College Algebra – Section 4.6 – Nonlinear Models

## Chapter 5 - Linear Systems and Matrices

### Lessons

- College Algebra – Section 5.1 – Solving Systems of Equations
- College Algebra – Section 5.2 – Systems of Linear Equations in Two Variables
- College Algebra – Section 5.3 – Multivariable Linear Systems
- College Algebra – Section 5.4 – Matrices and Systems of Equations
- College Algebra – Section 5.5 – Operations with Matrices
- College Algebra – Section 5.6 – The Inverse of a Square Matrix
- College Algebra – Section 5.7 – The Determinant of a Square Matrix
- College Algebra – Section 5.8 – Applications of Matrices and Determinants

## Chapter 6 - Sequences, Series, and Probability

### Lessons

- College Algebra – Section 6.1 – Sequences and Series
- College Algebra – Section 6.2 – Arithmetic Sequences and Partial Sums
- College Algebra – Section 6.3 – Geometric Sequences and Series
- College Algebra – Section 6.4 – Mathematical Induction
- College Algebra – Section 6.5 – The Binomial Theorem
- College Algebra – Section 6.6 – Counting Principles
- College Algebra – Section 6.7 – Probability

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