College Algebra – Barnett, Ziegler, Byleen, Sobecki – 9th Edition

CHAPTER R: BASIC ALGEBRAIC OPERATIONS
R-1. Algebra and Real Numbers
R-2. Exponents
R-3. Radicals
R-4. Polynomials: Basic Operations
Chapter R Review

CHAPTER 1: EQUATIONS AND INEQUALITIES
1-1. Linear Equations and Applications
1-2. Linear Inequalities
1-3. Absolute Value
1-4. Complex Numbers
1-5. Quadratic Equations and Applications
1-6. Equations Involving Radicals
Chapter 1 Group Activity: Solving a Cubic Equation
Chapter 1 Review

CHAPTER 2: GRAPHS
2-1. Cartesian Coordinate System
2-2. Distance in the Plane
2-3. Equations of a Line
2-4. Linear Equations and Models
Chapter 2 Group Activity: Rates of Change
Chapter 2 Review

CHAPTER 3: FUNCTIONS
3-1. Functions
3-2. Graphing Functions
3-3. Transformations of Functions
3-4. Quadratic Functions
3-5. Combining Functions; Composition
3-6. Inverse Functions
Chapter 3 Group Activity: Mathematical Modeling - Choosing a Long-Distance Calling Plan
Chapter 3 Review
1, 2, & 3 Cumulative Review Exercises

CHAPTER 4: POLYNOMIAL AND RATIONAL FUNCTIONS
4-1. Polynomial Functions And Models
4-2. Real Zeros and Polynomial Inequalities
4-3. Complex Zeros and Rational Zeros of Polynomials
4-4. Rational Functions and Inequalities
4-5. Variation and Modeling
Chapter 4 Group Activity: Interpolating Polynomials
Chapter 4 Review

CHAPTER 5: EXPONENTIAL AND LOGARITHMIC FUNCTIONS
5-1. Exponential Functions
5-2. Exponential Models
5-3. Logarithmic Functions
5-4. Logarithmic Models
5-5. Exponential and Logarithmic Equations
Chapter 5 Group Activity: Growth of Increasing Functions
Chapter 5 Review
4 & 5 Cumulative Review Exercises

CHAPTER 6: ADDITIONAL TOPICS IN ANALYTIC GEOMETRY
6-1. Conic Sections; Parabola
6-2. Ellipse
6-3. Hyperbola
Chapter 6 Group Activity: Focal Chords
Chapter 6 Review

CHAPTER 7: SYSTEMS OF EQUATIONS AND INEQUALITIES; MATRICES
7-1. Systems of Linear Equations
7-2. Solving Linear Systems Using Gauss-Jordan Elimination
7-3. Matrix Operations
7-4. Solving Linear Systems Using Inverse Matrices
7-4. Determinants and Cramer's Rule
7-5. Chapter 7 Group Activity: Modeling with Systems of Linear Equations
7-6. Systems of Nonlinear Equations
7-7. Systems of Linear Inequalities
7-8. Linear Programming
Chapter 7 Review

CHAPTER 8: SEQUENCES AND SERIES
8-1. Sequences and Series
8-2. Mathematical Induction
8-3. Arithmetic and Geometric Sequences
8-4. Counting Techniques: Multiplication Principle, Permutations, and Combinations
8-5. Sample Spaces and Probability
8-6. Binomial Formula
Chapter 8 Group Activity: Sequences Specified by Recursion Formulas
Chapter 8 Review
6, 7, & 8 Cumulative Review Exercises

APPENDIX A: SPECIAL TOPICS
A-1. Scientific Notation and Significant Digits
A-2. Partial Fractions
A-3. Parametric Equations

APPENDIX B
B-1. Geometric Formulas