College Algebra

Paul Sisson

College Algebra is accessible to both students who will take higher-level math courses after algebra and students for whom algebra will be their last college math course. The material is both comprehensive and rigorous and provides examples that apply to everyday life. Each chapter provides historical contexts on algebraic concepts, technology notes, and application examples.

Formats: Software, eBook, Textbook, Guided Notebook

Product ISBN
Courseware + eBook 978-1-941552-74-2
Courseware + eBook + Textbook 978-1-941552-40-7
Courseware + Guided Notebook + eBook 978-1-946158-42-0
for Courseware + Textbook + Guided Notebook + eBook 978-1-64277-054-4

Table of Contents

  1. Chapter 1: Number Systems and Fundamental Concepts of Algebra
    1. 1.1 The Real Number System
    2. 1.2 The Arithmetic of Algebraic Expressions
    3. 1.3a Properties of Exponents
    4. 1.3b Scientific Notation and Geometric Problems Using Exponents
    5. 1.4a Properties of Radicals
    6. 1.4b Rational Number Exponents
    7. 1.5 Polynomials and Factoring
    8. 1.6 The Complex Number System
  2. Chapter 2: Equations and Inequalities of One Variable
    1. 2.1a Linear Equations in One Variable
    2. 2.1b Applications of Linear Equations in One Variable
    3. 2.2 Linear Inequalities in One Variable
    4. 2.3 Quadratic Equations in One Variable
    5. 2.4 Higher Degree Polynomial Equations
    6. 2.5 Rational Expressions and Equations
    7. 2.6 Radical Equations
  3. Chapter 3: Linear Equations and Inequalities of Two Variables
    1. 3.1 The Cartesian Coordinate System
    2. 3.2 Linear Equations in Two Variables
    3. 3.3 Forms of Linear Equations
    4. 3.4 Parallel and Perpendicular Lines
    5. 3.5 Linear Inequalities in Two Variables
    6. 3.6 Introduction to Circles
  4. Chapter 4: Relations, Functions, and Their Graphs
    1. 4.1 Relations and Functions
    2. 4.2a Linear and Quadratic Functions
    3. 4.2b Max/Min Applications of Quadratic Functions
    4. 4.3a Other Common Functions
    5. 4.3b Direct and Inverse Variation
    6. 4.4 Transformations of Functions
    7. 4.5 Combining Functions
    8. 4.6 Inverses of Functions
  5. Chapter 5: Polynomial Functions
    1. 5.1 Introduction to Polynomial Equations and Graphs
    2. 5.2 Polynomial Division and the Division Algorithm
    3. 5.3 Locating Real Zeros of Polynomials
    4. 5.4 The Fundamental Theorem of Algebra
  6. Chapter 6: Rational Functions and Conic Sections
    1. 6.1a Rational Functions
    2. 6.1b Rational Inequalities
    3. 6.2 The Ellipse
    4. 6.3 The Parabola
    5. 6.4 The Hyperbola
  7. Chapter 7: Exponential and Logarithmic Functions
    1. 7.1 Exponential Functions and Their Graphs
    2. 7.2 Applications of Exponential Functions
    3. 7.3 Logarithmic Functions and Their Graphs
    4. 7.4 Properties and Applications of Logarithms
    5. 7.5 Exponential and Logarithmic Equations
  8. Chapter 8: Systems of Equations
    1. 8.1 Solving Systems by Substitution and Elimination
    2. 8.2 Matrix Notation and Gaussian Elimination
    3. 8.3 Determinants and Cramer's Rule
    4. 8.4 The Algebra of Matrices
    5. 8.5 Inverses of Matrices
    6. 8.6 Linear Programming
    7. 8.7 Nonlinear Systems of Equations
  9. Chapter 9: An Introduction to Sequences, Series, Combinatorics, and Probability
    1. 9.1 Sequences and Series
    2. 9.2 Arithmetic Sequences and Series
    3. 9.3 Geometric Sequences and Series
    4. 9.4 Mathematical Induction
    5. 9.5a An Introduction to Combinatorics - Counting, Permutations, and Combinations
    6. 9.5b An Introduction to Combinatorics - The Binomial and Multinomial Theorems
    7. 9.6 An Introduction to Probability
  10. Appendix
    1. A.1 Introduction to Polynomial Equations and Graphs (excluding complex numbers)
    2. A.2 Polynomial Division and the Division Algorithm (excluding complex numbers)
    3. A.3 Locating Real Zeros of Polynomials (excluding complex numbers)
    4. A.4 The Fundamental Theorem of Algebra (excluding complex numbers)