Finite Mathematics with Applications in the Management, Natural, and Social Sciences

<div class="c-un-numbered-headers-and-contents-list__container"> <ul> <li>Preface</li> <li>To the Student</li> <li>Prerequisite Skills Test</li> </ul> <h3>1. Algebra and Equations</h3> <ul> <li>1.1 The Real Numbers</li> <li>1.2 Polynomials</li> <li>1.3 Factoring</li> <li>1.4 Rational Expressions</li> <li>1.5 Exponents and Radicals</li> <li>1.6 First-Degree Equations</li> <li>1.7 Quadratic Equations</li> <li>Summary and Review</li> <li>CASE STUDY 1. Energy Efficiency and Long-Term Cost Savings</li> </ul> <h3>2. Graphs, Lines, and Inequalities</h3> <ul> <li>2.1 Graphs</li> <li>2.2 Equations of Lines</li> <li>2.3 Linear Models</li> <li>2.4 Linear Inequalities</li> <li>2.5 Polynomial and Rational Inequalities</li> <li>Summary and Review</li> <li>CASE STUDY 2. Using Extrapolation and Interpolation for Prediction</li> </ul> <h3>3. Functions and Graphs</h3> <ul> <li>3.1 Functions</li> <li>3.2 Graphs of Functions</li> <li>3.3 Applications of Linear Functions</li> <li>3.4 Quadratic Functions and Applications</li> <li>3.5 Polynomial Functions</li> <li>3.6 Rational Functions</li> <li>Summary and Review</li> <li>CASE STUDY 3. Maximizing Profit</li> </ul> <h3>4. Exponential and Logarithmic Functions</h3> <ul> <li>4.1 Exponential Functions</li> <li>4.2 Applications of Exponential Functions</li> <li>4.3 Logarithmic Functions</li> <li>4.4 Logarithmic and Exponential Equations</li> <li>Summary and Review</li> <li>CASE STUDY 4. Gapminder.org</li> </ul> <h3>5. Mathematics of Finance</h3> <ul> <li>5.1 Simple Interest and Discount</li> <li>5.2 Compound Interest</li> <li>5.3 Annuities, Future Value, and Sinking Funds</li> <li>5.4 Annuities, Present Value, and Amortization</li> <li>Summary and Review</li> <li>CASE STUDY 5. Investing in Stocks and Using the Rule of 72</li> </ul> <h3>6. Systems of Linear Equations and Matrices</h3> <ul> <li>6.1 Systems of Two Linear Equations in Two Variables</li> <li>6.2 Larger Systems of Linear Equations</li> <li>6.3 Applications of Systems of Linear Equations</li> <li>6.4 Basic Matrix Operations</li> <li>6.5 Matrix Products and Inverses</li> <li>6.6 Applications of Matrices</li> <li>Summary and Review</li> <li>CASE STUDY 6. Airline Route Maps</li> </ul> <h3>7. Linear Programming</h3> <ul> <li>7.1 Graphing Linear Inequalities in Two Variables</li> <li>7.2 Linear Programming: The Graphical Method</li> <li>7.3 Applications of Linear Programming</li> <li>7.4 The Simplex Method: Maximization</li> <li>7.5 Maximization Applications</li> <li>7.6 The Simplex Method: Duality and Minimization</li> <li>7.7 The Simplex Method: Nonstandard Problems</li> <li>Summary and Review</li> <li>CASE STUDY 7. Cooking with Linear Programming</li> </ul> <h3>8. Sets and Probability</h3> <ul> <li>8.1 Sets</li> <li>8.2 Applications of Venn Diagrams and Contingency Tables</li> <li>8.3 Introduction to Probability</li> <li>8.4 Basic Concepts of Probability</li> <li>8.5 Conditional Probability and Independent Events</li> <li>8.6 Bayes' Formula</li> <li>Summary and Review</li> <li>CASE STUDY 8. Medical Diagnosis</li> </ul> <h3>9. Counting, Probability Distributions, and Further Topics in Probability</h3> <ul> <li>9.1 Probability Distributions and Expected Value</li> <li>9.2 The Multiplication Principle, Permutations, and Combinations</li> <li>9.3 Applications of Counting</li> <li>9.4 Binomial Probability</li> <li>9.5 Markov Chains</li> <li>9.6 Decision Making</li> <li>Summary and Review</li> <li>CASE STUDY 9. Quick Draw® from the New York State Lottery</li> </ul> <h3>10. Introduction to Statistics</h3> <ul> <li>10.1 Frequency Distributions</li> <li>10.2 Measures of Center</li> <li>10.3 Measures of Variation and Boxplots</li> <li>10.4 Normal Distributions</li> <li>Summary and Review</li> <li>CASE STUDY 10. Standard Deviation as a Measure of Risk</li> </ul> <h3>APPENDICES</h3> <ul> <li>A. Areas under the Normal Curve</li> <li>B. Solutions to Prerequisite Skills Test</li> </ul> <h4 class="h5">Answers to Selected Exercises</h4> <h4 class="h5">Index of Companies, Products, and Agencies</h4> <h4 class="h5">Index of Applications</h4> <h4 class="h5">Subject Index</h4> <h4 class="h5">Photo Credits</h4> <h4 class="h5">Reference Endpapers:</h4> <ul> <li>Algebra Review</li> <li>Geometric Formulas</li> <li>Finite Math Review</li> </ul> </div>