Mathematics with Applications in the Management, Natural and Social Sciences, Global Edition

<div class="c-un-numbered-headers-and-contents-list__container"> <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 and Transformations</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>3.7 Composition of 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. The Mathematics of Personal Finance </h3> <ul> <li>5.1 Simple and Compound Interest </li> <li>5.2 Annuities, Future Value, and Sinking Funds </li> <li>5.3 Consumer Loans and Amortization </li> <li>5.4 Bonds and Treasury Bills</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>&gt;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>11. Differential Calculus</h3> <ul> <li>11.1 Limits </li> <li>11.2 One-Sided Limits and Limits Involving Infinity </li> <li>11.3 Rates of Change </li> <li>11.4 Tangent Lines and Derivatives </li> <li>11.5 Techniques for Finding Derivatives </li> <li>11.6 Derivatives of Products and Quotients </li> <li>11.7 The Chain Rule </li> <li>11.8 Derivatives of Exponential and Logarithmic Functions </li> <li>11.9 Continuity and Differentiability </li> <li>Summary and Review </li> <li>Case Study 11: Price Elasticity of Demand&lt; </li> </ul> <h3>12. Applications of the Derivative </h3> <ul> <li>12.1 Local Extrema </li> <li>12.2 The Second Derivative </li> <li>12.3 Optimization Applications </li> <li>12.4 Implicit Differentiation </li> <li>12.5 Related Rates </li> <li>12.6 Curve Sketching </li> <li>Summary and Review </li> <li>Case Study 12: Maximizing Profit </li> </ul> <h3>13. Integral Calculus </h3> <ul> <li>13.1 Antiderivatives </li> <li>13.2 Integration by Substitution </li> <li>13.3 Integration by Parts </li> <li>13.4 Area and the Definite Integral </li> <li>13.5 The Fundamental Theorem of Calculus </li> <li>13.6 Applications of Integrals </li> <li>13.7 Differential Equations </li> <li>Summary and Review </li> <li>Case Study 13: Logistic Population Growth  </li> </ul> <h3>14. Multivariate Calculus </h3> <ul> <li>14.1 Functions of Several Variables </li> <li>14.2 Partial Derivatives </li> <li>14.3 Extrema of Functions of Several Variables </li> <li>14.4 Lagrange Multipliers </li> <li>Summary and Review </li> <li>Case Study 14: The Method of Least Squares </li> </ul> <h4><strong>Appendices</strong></h4> <ul> <li>A: Areas under the Normal Curve </li> <li>B: Solutions to Prerequisite Skills Test and Calculus Readiness Test </li> <li>C: Table of Integrals </li> </ul> <h4><strong>Answers to Selected Exercises</strong></h4> <h4><strong>Index of Companies, Products, and Agencies</strong></h4> <h4><strong>Index of Applications</strong></h4> <h4><strong>Subject Index</strong></h4> <h4><strong>Photo Credits</strong></h4> <h4><strong>Reference Endpapers</strong></h4> <ul> <li>Algebra Review</li> <li>Geometric Formulas</li> <li>Finite Math Review</li> <li>Calculus Review</li> </ul> </div>