Table of Contents

Barnett/Ziegler/Byleen
College Algebra 6th Edition


Chapter 1: Basic Algebraic Operations
  1. Algebra & Real Numbers
  2. Polynomials: Basic Operations
  3. Polynomials: Factoring
  4. Rational Expressions: Basic Operations
  5. Integer Exponents
  6. Rational Exponents
  7. Radicals

Chapter 2: Equations and Inequalities
  1. Linear Equations & Applications
  2. Systems of Linear Equations & Applications
  3. Linear Inequalities
  4. Absolute Value in Equations and Inequalities
  5. Complex Numbers
  6. Quadratic Equations & Applications
  7. Equations Reducible to Quadratic Form
  8. Polynomial & Rational Inequalities

Chapter 3: Graphs & Functions
  1. Basic Tools; Circles
  2. Straight Lines
  3. Functions
  4. Graphing Functions
  5. Combining Functions
  6. Inverse Functions

Chapter 4: Polynomial & Rational Functions
  1. Polynomial Functions and Graphs
  2. Finding Rational Zeros of Polynomials
  3. Approximating Real Zeros of Polynomials
  4. Rational Functions
  5. Partial Fractions

Chapter 5: Exponential & Logarithmic Functions
  1. Exponential Functions
  2. The Exponential Function With Base e
  3. Logarithmic Functions
  4. Common and Natural Logarithms
  5. Exponential & Logarithmic Equations

Chapter 6: Systems of Equations & Inequalities
  1. Systems of Linear Equations and Augmented Matrices
  2. Gauss-Jordan Elimination
  3. Systems Involving Second-Degree Equations
  4. Systems of Linear Inequalities in Two Variables
  5. Linear Programming

Chapter 7: Matrices and Determinants
  1. Matrices: Basic Operations
  2. Inverse of a Square Matrix
  3. Matrix Equations and Systems of Linear Equations
  4. Determinants
  5. Properties of Determinants
  6. Cramer's Rule

Chapter 8: Sequences & Series
  1. Sequences and Series
  2. Mathematical Induction
  3. Arithmetic & Geometric Sequences
  4. Binomial Formula
  5. Multiplication Principle, Permutations, and Combinations

Chapter 9: Additional Topics in Analytic Geometry
  1. Conic Sections; Parabola
  2. Ellipse
  3. Hyperbola
  4. Translation of Axes

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