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

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