Published: April 2019
Page Count: 774
ISBN (Digital): 978-1-4533-9846-3

Corequisite Resources for Edward Burger's College Algebra

Version 1.0
By John Redden

Included Supplements

Key Features

More materials than most instructors will utilize in order to ensure content can be used to address most learning issues.
Traditional content written in a clear and concise manner.
Robust and diverse problem sets.
Customizable.
This textbook does not have any supplements for instructors.

Corequisite for College Algebra is intended to provided instructors with expanded explanations for algebra topics and more elementary problems for the student to build understanding and gain confidence before completing assignments in the core College Algebra textbook. This corequisite textbook is based on John Redden’s Intermediate Algebra. The textbook has been realigned to match the topic order in Edward Burger’s College Algebra. It is designed to build the core skills required for College Algebra; therefore not every College Algebra topic is covered.

1.1 Review of Real Numbers and Absolute Value

1.2 Operations with Real Numbers

1.3 Square and Cube Roots of Real Numbers

1.4 Algebraic Expressions and Formulas

1.5 Rules of Exponents and Scientific Notation

1.6 Roots and Radicals

1.7 Rational Exponents

1.8 Polynomials and Their Operations

1.9 Factoring Polynomials

1.10 Factoring Trinomials

1.11 Simplifying Radical Expressions

1.12 Adding and Subtracting Radical Expressions

1.13 Multiplying and Dividing Radical Expressions

Chapter 2: Equations and Inequalities

2.1 Solving Linear Equations

2.2 Solving Equations Quadratic in Form

2.3 Complex Numbers and Their Operations

2.4 Extracting Square Roots and Completing the Square

2.5 Quadratic Formula

2.6 Solve Polynomial Equations by Factoring

2.7 Solving Radical Equations

2.8 Solving Rational Equations

2.9 Solving Linear Inequalities with One Variable

2.10 Solving Absolute Value Equations and Inequalities

2.11 Solving Quadratic Inequalities

2.12 Solving Polynomial and Rational Inequalities

Chapter 3: Functions and Their Graphs

3.1 Relations, Graphs, and Functions

3.2 Linear Functions and Their Graphs

3.3 Circles

3.4 Modeling Linear Functions

3.5 Applications and Variation

3.6 Graphing the Basic Functions

3.7 Using Transformations to Graph Functions

3.8 Algebra of Functions

3.9 Rational Functions: Multiplication and Division

3.10 Rational Functions: Addition and Subtraction

3.11 Composition and Inverse Functions

Chapter 4: Polynomial Functions

4.1 Quadratic Functions and Their Graphs

Chapter 5: Rational Functions and Conics

5.1 Distance, Midpoint, and the Parabola

5.2 Ellipses

5.3 Hyperbolas

Chapter 6: Exponential and Logarithmic Functions

6.1 Exponential Functions and Their Graphs

6.2 Logarithmic Functions and Their Graphs

6.3 Properties of the Logarithm

6.4 Solving Exponential and Logarithmic Equations

6.5 Applications

Chapter 7: Systems of Equations and Inequalities

7.1 Linear Systems with Two Variables and Their Solutions

7.2 Solving Linear Systems with Two Variables

7.3 Applications of Linear Systems with Two Variables

7.4 Solving Nonlinear Systems

7.5 Solving Linear Systems with Three Variables

7.6 Matrices and Gaussian Elimination

7.7 Solving Inequalities with Two Variables

7.8 Solving Systems of Inequalities with Two Variables

Chapter 8: Matrices and Determinants

8.1 Determinants and Cramer’s Rule

Chapter 9: Sequences, Series, and Probability

9.1 Introduction to Sequences and Series

9.2 Arithmetic Sequences and Series

9.3 Geometric Sequences and Series

9.4 Binomial Theorem

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John Redden

College of the Sequoias

John Redden is Professor of Mathematics at the College of the Sequoias in Visalia, California. Redden has authored two Algebra textbooks. He enjoys computer science, technology, photography, and nonfiction.