**Chapter 1: Algebra and Equations**

1.1 The Real Numbers

1.2 Polynomials

1.3 Factoring

1.4 Rational Expressions

1.5 Exponents and Radicals

1.6 First-Degree Equations

1.7 Quadratic Equations

*Chapter 1 Summary*

*Chapter 1 Review Exercises*

*Case Study 1: Consumers Often Defy Common Sense*

**Chapter 2: Graphs, Lines, and Inequalities**

2.1 Graphs

2.2 Equations of Lines

2.3 Linear Models

2.4 Linear Inequalities

2.5 Polynomial and Rational Inequalities

*Chapter 2 Summary*

*Chapter 2 Review Exercises*

*Case Study 2: Using Extrapolation to Predict Life Expectancy*

**Chapter 3: Functions and Graphs**

3.1 Functions

3.2 Graphs of Functions

3.3 Applications of Linear Functions

3.4 Quadratic Functions

3.5 Applications of Quadratic Functions

3.6 Polynomial Functions

3.7 Rational Functions

*Chapter 3 Summary*

*Chapter 3 Review Exercises*

*Case Study 3: Architectural Arches*

**Chapter 4: Exponential and Logarithmic Functions**

4.1 Exponential Functions

4.2 Applications of Exponential Functions

4.3 Logarithmic Functions

4.4 Logarithmic and Exponential Equations

*Chapter 4 Summary*

*Chapter 4 Review Exercises*

*Case Study 4: Characteristics of the Monkeyface Prickleback*

**Chapter 5: Mathematics of Finance**

5.1 Simple Interest and Discount

5.2 Compound Interest

5.3 Annuities, Future Value, and Sinking Funds

5.4 Annuities, Present Value, and Amortization

*Chapter 5 Summary*

*Chapter 5 Review Exercises*

*Case Study 5: Continuous Compounding*

**Chapter 6: Systems of Linear Equations and Matrices**

6.1 Systems of Two Linear Equations in Two Variables

6.2 Larger Systems of Linear Equations

6.3 Applications of Systems of Linear Equations

6.4 Basic Matrix Operations

6.5 Matrix Products and Inverses

6.6 Applications of Matrices

*Chapter 6 Summary*

*Chapter 6 Review Exercises*

*Case Study 6: Matrix Operations and Airline Route Maps*

**Chapter 7: Linear Programming**

7.1 Graphing Linear Inequalities in two Variables

7.2 Linear Programming: The Graphical Method

7.3 Applications of Linear Programming

7.4 The Simplex Method: Maximization

7.5 Maximization Applications

7.6 The Simplex Method: Duality and Minimization

7.7 The Simplex Method: Nonstandard Problems

*Chapter 7 Summary*

*Chapter 7 Review Exercises*

*Case Study 7: Cooking with Linear Programming*

**Chapter 8: Sets and Probability**

8.1 Sets

8.2 Applications of Venn Diagrams

8.3 Introduction to Probability

8.4 Basic Concepts of Probability

8.5 Conditional Probability and Independent Events

8.6 Bayes’ Formula

*Chapter 8 Summary*

*Chapter 8 Review Exercises*

*Case Study 8: Medical Diagnosis*

**Chapter 9: Counting, Probability Distributions, and Further Topics in Probability**

9.1 Probability Distributions and Expected Value

9.2 The Multiplication Principle, Permutations, and Combinations

9.3 Applications of Counting

9.4 Binomial Probability

9.5 Markov Chains

9.6 Decision Making

*Chapter 9 Summary*

*Chapter 9 Review Exercises*

*Case Study 9: QuickDraw*^{®} from the New York State Lottery

**Chapter 10: Introduction to Statistics**

10.1 Frequency Distributions

10.2 Measures of Central Tendency

10.3 Measures of Variation

10.4 Normal Distributions

10.5 Normal Approximation to the Binomial Distribution

*Chapter 10 Summary*

*Chapter 10 Review Exercises*

*Case Study 10: Statistics in the Law—The Castañeda Decision*

**Appendixes**

Appendix A: Graphing Calculators

Appendix B: Tables

Table 1: Formulas from Geometry

Table 2: Areas under the Normal Curve

Table 3: Integrals

**Answers to Selected Exercises**

**Index of Applications**

**Index**