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College Algebra

by Paul Sisson

College Algebra is both comprehensive and rigorous and provides examples that apply to everyday life. The material lends itself to both students continuing on a STEM path and those for whom this will be their last college math course. Each chapter provides historical context, technology notes, and applications.

Updates to the third edition include a more streamlined table of contents, a new chapter on functions (Chapter 5: Working with Functions), and more robust content.

New topics covered include:

  • The difference quotient

  • Constructing mathematical models

  • Regression (linear, quadratic, exponential, logistic, and logarithmic)

  • Interpolation and extrapolation

  • Intervals of monotonicity

  • Local extrema

  • Average rate of change

  • Stretching and compressing graphs horizontally

  • Multivariable functions

  • Solving elementary logarithmic equations

  • Systems of linear inequalities

  • Systems of nonlinear inequalities


Formats: Software, Textbook, Guided Notebook, eBook

Product ISBN
Software + eBook 978-1-64277-173-2
Software + eBook + Textbook 978-1-64277-283-8
Software + eBook + Guided Notebook 978-1-64277-335-4

Table of Contents

  1. Chapter 1: Fundamental Concepts of Algebra
    1. 1.1 Real Numbers
    2. 1.2 The Arithmetic of Algebraic Expressions
    3. 1.3 Properties of Exponents
    4. 1.4 Properties of Radicals
    5. 1.5 Polynomials
    6. 1.6 Factoring Polynomials
    7. 1.7 Rational Expressions
    8. 1.8 Complex Numbers
    9. Chapter 1 Review
  2. Chapter 2: Equations and Inequalities in One Variable
    1. 2.1 Linear Equations in One Variable
    2. 2.2 Linear Inequalities in One Variable
    3. 2.3 Quadratic Equations in One Variable
    4. 2.4 Polynomial and Polynomial-Like Equations in One Variable
    5. 2.5 Rational Equations in One Variable
    6. 2.6 Radical Equations in One Variable
    7. Chapter 2 Review
  3. Chapter 3: Equations and Inequalities in Two Variables
    1. 3.1 The Cartesian Coordinate System
    2. 3.2 Circles
    3. 3.3 Linear Equations in Two Variables
    4. 3.4 Slope and Forms of Linear Equations
    5. 3.5 Parallel and Perpendicular Lines
    6. 3.6 Linear Inequalities in Two Variables
    7. Chapter 3 Review
  4. Chapter 4: Relations, Functions, and Their Graphs
    1. 4.1 Relations and Functions
    2. 4.2 Linear Functions
    3. 4.3 Quadratic Functions
    4. 4.4 Other Common Functions
    5. 4.5 Variation and Multivariable Functions
    6. 4.6 Mathematical Models
    7. Chapter 4 Review
  5. Chapter 5: Working with Functions
    1. 5.1 Transformations of Functions
    2. 5.2 Properties of Functions
    3. 5.3 Combining Functions
    4. 5.4 Inverses of Functions
    5. Chapter 5 Review
  6. Chapter 6: Polynomial and Rational Functions
    1. 6.1 Polynomial Functions and Polynomial Inequalities
    2. 6.2 Polynomial Division and the Division Algorithm
    3. 6.3 Locating Real Zeros of Polynomial Functions
    4. 6.4 The Fundamental Theorem of Algebra
    5. 6.5 Rational Functions and Rational Inequalities
    6. Chapter 6 Review
  7. Chapter 7: Exponential and Logarithmic Functions
    1. 7.1 Exponential Functions and Their Graphs
    2. 7.2 Exponential Models
    3. 7.3 Logarithmic Functions and Their Graphs
    4. 7.4 Logarithmic Properties and Models
    5. 7.5 Exponential and Logarithmic Equations
    6. Chapter 7 Review
  8. Chapter 8: Conic Sections
    1. 8.1 Ellipses
    2. 8.2 Parabolas
    3. 8.3 Hyperbolas
    4. Chapter 8 Review
  9. Chapter 9: Systems of Equations and Inequalities
    1. 9.1 Solving Systems of Linear Equations by Substitution and Elimination
    2. 9.2 Matrix Notation and Gauss-Jordan Elimination
    3. 9.3 Determinants and Cramer's Rule
    4. 9.4 Basic Matrix Operations
    5. 9.5 Inverses of Matrices
    6. 9.6 Systems of Linear Inequalities and Linear Programming
    7. 9.7 Systems of Nonlinear Equations and Inequalities
    8. Chapter 9 Review
  10. Chapter 10: Sequences, Series, Combinatorics, and Probability
    1. 10.1 Sequences and Series
    2. 10.2 Arithmetic Sequences and Series
    3. 10.3 Geometric Sequences and Series
    4. 10.4 Mathematical Induction
    5. 10.5 Combinatorics
    6. 10.6 Probability
    7. Chapter 10 Review