Section 1.3 Complex Numbers

Section 1.4 Quadratic Equations

Problem Recognition Exercises: Simplifying Expressions versus Solving Equations

Section 1.5 Applications of Quadratic Equations

Section 1.6 More Equations and Applications

Section 1.7 Linear Inequalities and Compound Inequalities

Section 1.8 Absolute Value Equations and Inequalities

Problem Recognition Exercises: Recognizing and Solving Equations and Inequalities

Chapter 2: Functions and Graphs

Section 2.1 The Rectangular Coordinate System and Graphing Utilities

Section 2.2 Circles

Section 2.3 Functions and Relations

Section 2.4 Linear Equations in Two Variables and Linear Functions

Section 2.5 Applications of Linear Equations and Modeling

Problem Recognition Exercises: Comparing Graphs of Equations

Section 2.6 Transformation of Graphs

Section 2.7 Analyzing Graphs of Functions and Piecewise-Defined Functions

Section 2.8 The Algebra of Functions

Chapter 3: Polynomial and Rational Functions

Section 3.1 Quadratic Functions and Applications

Section 3.2 Introduction to Polynomial Functions

Section 3.3 Division of Polynomials and the Remainder and Factor Theorems

Section 3.4 Zeros of Polynomials

Section 3.5 Rational Functions

Problem Recognition Exercises: Polynomial and Rational Functions

Section 3.6 Polynomial and Rational Inequalities

Problem Recognition Exercises: Solving Equations and Inequalities

Section 3.7 Variation

Chapter 4: Exponential and Logarithmic Functions

Section 4.1 Inverse Functions

Section 4.2 Exponential Functions

Section 4.3 Logarithmic Functions

Problem Recognition Exercises: Analyzing Functions

Section 4.4 Properties of Logarithms

Section 4.5 Exponential and Logarithmic Equations

Section 4.6 Modeling with Exponential and Logarithmic Functions

Chapter 5: Systems of Equations and Inequalities

Section 5.1 Systems of Linear Equations in Two Variables and Applications

Section 5.2 Systems of Linear Equations in Three Variables and Applications

Section 5.3 Partial Fraction Decomposition

Section 5.4 Systems of Nonlinear Equations in Two Variables

Section 5.5 Inequalities and Systems of Inequalities in Two Variables

Problem Recognition Exercises: Equations and Inequalities in Two Variables

Section 5.6 Linear Programming

Chapter 6: Matrices and Determinants and Applications

Section 6.1 Solving Systems of Linear Equations Using Matrices

Section 6.2 Inconsistent Systems and Dependent Equations

Section 6.3 Operations on Matrices

Section 6.4 Inverse Matrices and Matrix Equations

Section 6.5 Determinants and Cramer’s Rule

Problem Recognition Exercises: Using Multiple Methods to Solve Systems of Linear Equations

Chapter 7: Analytic Geometry

Section 7.1 The Ellipse

Section 7.2 The Hyperbola

Section 7.3 The Parabola

Problem Recognition Exercises: Comparing Equations of Conic Sections and Investigating the General Equation

Chapter 8: Sequences, Series, Induction, and Probability

Section 8.1 Sequences and Series

Section 8.2 Arithmetic Sequences and Series

Section 8.3 Geometric Sequences and Series

Problem Recognition Exercises: Comparing Arithmetic and geometric Sequences and Series

Section 8.4 Mathematical Induction

Section 8.5 The Binomial Theorem

Section 8.6 Principles of Counting

Section 8.7 Introduction to Probability

Appendix A: Proof of the Binomial Theorem

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.