Calculus for Business, Economics, Life Sciences, and Social Sciences

Description

Front Cover Title Page Copyright Page Contents Preface Diagnostic Prerequisite Test Chapter 1 Functions and Graphs 1.1 Functions 1.2 Elementary Functions: Graphs and Transformations 1.3 Linear and Quadratic Functions 1.4 Polynomial and Rational Functions 1.5 Exponential Functions 1.6 Logarithmic Functions 1.7 Right Triangle Trigonometry 1.8 Trigonometric Functions Chapter 1 Summary and Review Review Exercises Chapter 2 Limits and the Derivative 2.1 Introduction to Limits 2.2 Infinite Limits and Limits at Infinity 2.3 Continuity 2.4 The Derivative 2.5 Basic Differentiation Properties 2.6 Differentials 2.7 Marginal Analysis in Business and Economics Chapter 2 Summary and Review Review Exercises Chapter 3 Additional Derivative Topics 3.1 the Constant E and Continuous Compound Interest 3.2 Derivatives of Exponential and Logarithmic Functions 3.3 Derivatives of Trigonometric Functions 3.4 Derivatives of Products and Quotients 3.5 The Chain Rule 3.6 Implicit Differentiation 3.7 Related Rates 3.8 Elasticity of Demand Chapter 3 Summary and Review Review Exercises Chapter 4 Graphing and Optimization 4.1 First Derivative and Graphs 4.2 Second Derivative and Graphs 4.3 L’hôpital’s Rule 4.4 Curve-sketching Techniques 4.5 Absolute Maxima and Minima 4.6 Optimization Chapter 4 Summary and Review Review Exercises Chapter 5 Integration 5.1 Antiderivatives and Indefinite Integrals 5.2 Integration by Substitution 5.3 Differential Equations; Growth and Decay 5.4 The Definite Integral 5.5 The Fundamental Theorem of Calculus 5.6 Area Between Curves Chapter 5 Summary and Review Review Exercises Chapter 6 Additional Integration Topics 6.1 Integration by Parts 6.2 Other Integration Methods 6.3 Applications in Business and Economics 6.4 Integration of Trigonometric Functions Chapter 6 Summary and Review Review Exercises Chapter 7 Multivariable Calculus 7.1 Functions of Several Variables 7.2 Partial Derivatives 7.3 Maxima and Minima 7.4 Maxima and Minima Using Lagrange Multipliers 7.5 Method of Least Squares 7.6 Double Integrals over Rectangular Regions 7.7 Double Integrals over More General Regions Chapter 7 Summary and Review Review Exercises Chapter 8 Differential Equations 8.1 Basic Concepts 8.2 Separation of Variables 8.3 First-order Linear Differential Equations Chapter 8 Summary and Review Review Exercises Chapter 9 Taylor Polynomials and Infinite Series 9.1 Taylor Polynomials 9.2 Taylor Series 9.3 Operations on Taylor Series 9.4 Approximations Using Taylor Series Chapter 9 Summary and Review Review Exercises Chapter 10 Probability and Calculus 10.1 Improper Integrals 10.2 Continuous Random Variables 10.3 Expected Value, Standard Deviation, and Median 10.4 Special Probability Distributions Chapter 10 Summary and Review Review Exercises Appendix A Basic Algebra Review A.1 Real Numbers A.2 Operations on Polynomials A.3 Factoring Polynomials A.4 Operations on Rational Expressions A.5 Integer Exponents and Scientific Notation A.6 Rational Exponents and Radicals A.7 Quadratic Equations Appendix B Special Topics B.1 Sequences, Series, and Summation Notation B.2 Arithmetic and Geometric Sequences B.3 Binomial Theorem B.4 Interpolating Polynomials and Divided Differences Appendix Tables C Table 1: Integration Formulas Table 2: Area under the Standard Normal Curve Answers Index Index of Applications Back Cover