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Intermediate Algebra

College of the Redwoods, Department of Mathematics

Summary
Table of Contents
Supplements

This textbook is used by the Department of Mathematics at College of the Redwoods in Eureka, California for instructional purposes in their Math 120 course, Intermediate Algebra. This text was written by the department specifically for use in Math 120.

Note: The print book is in two parts. The order link above takes you to the first part (chapters 1-5). For the full book you also need the second part.

License: Creative Commons Attribution Sharealike Noncommercial. This license is very open. It allows reuse, remixing, and distribution, but prohibits commercial use and requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license. The non-commercial clause can make getting printed copies of remixes challenging depending upon how strictly the authors interpret the clause.

Formats:

PDF. A Portable Document Format (PDF) file is can be opened using the free Acrobat Reader. It is not an editable format.

Openness Rating (0-4): 1

Openness Comments: The authors do not provide copies of the editable source files for this text, so while it is easy to use as-is, it is very difficulty to modify or remix.

Chapter 1: Preliminaries

Section 1: Number Systems
Section 2: Solving Equations
Section 3: Logic
Section 4: Compound Inequalities

Chapter 2: Functions

Section 1: Introduction to Functions
Section 2: The Graph of a Function
Section 3: Interpreting the Graph of a Function
Section 4: Solving Equations and Inequalities by Graphing
Section 5: Vertical Geometric Transformations
Section 6: Horizontal Geometric Transformations

Chapter 3: Linear Functions

Section 1: Linear Models
Section 2: Slope
Section 3: Equations of Lines
Section 4: Point-Slope Form of a Line
Section 5: The Line of Best Fit

Chapter 4: Absolute Value Functions

Section 1: Piecewise-Defined Functions
Section 2: Absolute Value
Section 3: Absolute Value Equations
Section 4: Absolute Value Inequalities

Chapter 5: Quadratic Functions

Section 1: The Parabola
Section 2: Vertex Form
Section 3: Zeros of the Quadratic
Section 4: The Quadratic Formula
Section 5: Motion
Section 6: Optimization

Chapter 6: Polynomial Functions

Section 1: Polynomial Functions
Section 2: Zeros of Polynomials
Section 3: Extrema and Models

Chapter 7: Rational Functions

Section 1: Introducing Rational Functions
Section 2: Reducing Rational Functions
Section 3: Graphing Rational Functions
Section 4: Products and Quotients of Rational Functions
Section 5: Sums and Differences of Rational Functions
Section 6: Complex Fractions
Section 7: Solving Rational Equations
Section 8: Applications of Rational Functions

Chapter 8: Exponential and Logarithmic Functions

Section 1: Exponents and Roots
Section 2: Exponential Functions
Section 3: Applications of Exponential Functions
Section 4: Inverse Functions
Section 5: Logarithmic Functions
Section 6: Properties of Logarithms; Solving Exponential Equations
Section 7: Exponential Growth and Decay
Section 8: Additional Topics

Chapter 9: Radical Functions

Section 1: The Square Root Function
Section 2: Multiplication Properties of Radicals
Section 3: Division Properties of Radicals
Section 4: Radical Expressions
Section 5: Radical Equations
Section 6: The Pythagorean Theorem

Supplements: None