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Prerequisite Skills Test Calculus Readiness 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 11. Differential Calculus 11.1 Limits 11.2 One-Sided Limits and Limits Involving Infinity 11.3 Rates of Change 11.4 Tangent Lines and Derivatives 11.5 Techniques for Finding Derivatives 11.6 Derivatives of Products and Quotients 11.7 The Chain Rule 11.8 Derivatives of Exponential and Logarithmic Functions 11.9 Continuity and Differentiability Summary and Review CASE STUDY 11. Price Elasticity of Demand 12. Applications of the Derivative 12.1 Local Extrema 12.2 The Second Derivative 12.3 Optimization Applications 12.4 Implicit Differentiation 12.5 Related Rates 12.6 Curve Sketching Summary and Review CASE STUDY 12. A Total Cost Model for a Training Program 13. Integral Calculus 13.1 Antiderivatives 13.2 Integration by Substitution 13.3 Integration by Parts 13.4 Area and the Definite Integral 13.5 The Fundamental Theorem of Calculus 13.6 Applications of Integrals 13.7 Differential Equations Summary and Review CASE STUDY 13. Bounded Population Growth 14. Multivariate Calculus 14.1 Functions of Several Variables 14.2 Partial Derivatives 14.3 Extrema of Functions of Several Variables 14.4 Lagrange Multipliers Summary and Review CASE STUDY 14. Global Warming and the Method of Least Squares Appendix A. Areas under the Normal Curve Appendix B. Solutions to Prerequisite Skills Test and Calculus Readiness Test Appendix C. Table of Integrals 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 • Calculus Review Table of Contents
Get Mathematics with Applications In the Management, Natural, and Social Sciences, 12th Edition by Margaret L. Lial, American River College Thomas W. Hungerford, Saint Louis University John P. Holcomb, Cleveland State University Bernadette Mullins, Birmingham Southern College
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