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Finite Mathematics with Applications In the Management, Natural, and Social Sciences / Edition 11 by Margaret L. Lial EBOOK PDF Instant Download

Table of Contents

Preface

To the Student

Prerequisite Skills Test

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. Energy Efficiency and Long-Term Cost Savings

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. Maximizing Profit

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. Investing in Stocks and Using the Rule of 72

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

Summary and Review

CASE STUDY 6. Airline Route Maps

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

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 Tables

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 Draw® from the New York State Lottery

10. Introduction to Statistics

10.1 Frequency Distributions

10.2 Measures of Center

10.3 Measures of Variation and Boxplots

10.4 Normal Distributions

Summary and Review

CASE STUDY 10. Standard Deviation as a Measure of Risk

Appendix A: Areas under the Normal Curve

Appendix B: Solutions to Prerequisite Skills Test

Answers to Selected Exercises

Index of Companies, Products, and Agencies

Index of Applications

Subject Index

Photo Credits

Reference Endpapers:

• Algebra Review

• Geometric Formulas

• Finite Math Review