Mathematics with applications : in the management, natural, and social sciences

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Mathematics with applications : in the management, natural, and social sciences

Pearson, c2015

11th ed. / Margaret L. Lial ... [et al.]

  • : hardcover

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Includes indexes

Description and Table of Contents

Description

Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. If you would like to purchase both the physical text and MyMathLab, search for ISBN-10: 0321935446 /ISBN-13: 9780321935441. That package includes ISBN-10: 0321431308/ISBN-13: 9780321431301, ISBN-10: 0321654064/ISBN-13: 9780321654069 and ISBN-10: 0321931076/ ISBN-13: 9780321931078. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. Mathematics with Applications in the Management, Natural, and Social Sciences presents sound mathematics in an understandable manner, proceeding from the familiar to new material and from concrete examples to general rules and formulas. The Eleventh Edition retains its focus on real-world problem solving, but has been refreshed with revised and added content, updated and new applications, fine-tuned and newly-integrated pedagogical devices, and enhanced exercise sets.

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 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 Matrix Operations and 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 (R)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 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 12. Applications of the Derivative 12.1 Derivatives and Graphs 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 Area and the Definite Integral 13.4 The Fundamental Theorem of Calculus 13.5 Applications of Integrals 13.6 Tables of Integrals (Optional) 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 Appendices Appendix A. Graphing Calculators Appendix B: Tables Table 1: Formulas from Geometry Table 2: Areas under the Normal Curve Table 3: Integrals Appendix C. Learning Objectives Appendix D. Solutions to Prerequisite Skills Tests Answers to Selected Exercises Index of Companies, Products, and Agencies Index of Applications Subject Index

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