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Table of Contents

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

Summary and Review

Case Study 1 Consumers Often Need to Just Do the Math

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

Summary and Review

Case Study 2 Using Extrapolation and Interpolation for Prediction

3. Functions and Graphs

3.1 Functions

3.2 Graphs of Functions

3.3 Applications of Linear Functions

3.4 Quadratic Functions and Applications

3.5 Polynomial Functions

3.6 Rational Functions

Summary and Review

Case Study 3 Architectural Arches

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

Summary and Review

Case Study 4 Gapminder.org

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

Summary and Review

Case Study 5 Continuous Compounding

6. Systems of Linear Equations and Matrices

6.1 Systems of Two Linear Equations in Two VariTables

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

Summary and Review

Case Study 6 Matrix Operations and Airline Route Maps

7. Linear Programming

7.1 Graphing Linear Inequalities in two VariTables

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

Summary and Review

Case Study 7 Cooking with Linear Programming

8. Sets and Probability

8.1 Sets

8.2 Applications of Venn Diagrams and Contingency TTables

8.3 Introduction to Probability

8.4 Basic Concepts of Probability

8.5 Conditional Probability and Independent Events

8.6 Bayes’ Formula

Summary and Review

Case Study 8 Medical Diagnosis

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

Summary and Review

Case Study 9 Quick DrawÂ®from the New York State Lottery

10. Introduction to Statistics

10.1 Frequency Distributions

10.2 Measures of Center

10.3 Measures of Variation

10.4 Normal Distributions and Boxplots

10.5 Normal Approximation to the Binomial Distribution

Summary and Review

Case Study 10 Standard Deviation as a Measure of Risk

Appendices

Appendix A: Graphing Calculators

Appendix B: TTables

TTable 1: Formulas from Geometry

TTable 2: Areas under the Normal Curve

Appendix C: Learning Objectives

Appendix D: Solutions to Prerequisite Skills Test

Answers to Selected Exercises

Index of Companies, Products, and Agencies

Index of Applications

Subject Index