Calculus for Business, Economics, and the Social and Life Sciences: With MathZone

Preface Calculator Introduction 1 Functions, Graphs, and Limits 1.1 Functions 1.2 The Graph of a Function 1.3 Linear Functions 1.4 Functional Models 1.5 Limits 1.6 One-Sided Limits and Continuity Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 1 Review Problems Explore! Update Think About It 2 Differentiation: Basic Concepts 2.1 The Derivative 2.2 Techniques of Differentiation 2.3 Product and Quotient Rules; Higher Order Derivatives 2.4 The Chain Rule 2.5 Marginal Analysis and Approximations Using Increments 2.6 Implicit Differentiation and Related Rates Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 2 Review Problems Explore! Update Think About It 3 Additional Applications of the Derivative 3.1 Increasing and Decreasing Functions; Relative Extrema 3.2 Concavity and Points of Inflection 3.3 Curve Sketching 3.4 Optimization 3.5 Additional Applied Optimization Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 3 Review Problems Explore! Update Think About It 4 Exponential and Logarithmic Functions 4.1 Exponential Functions 4.2 Logarithmic Functions 4.3 Differentiation of Logarithmic and Exponential Functions 4.4 Additional Exponential Models Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 4 Review Problems Explore! Update Think About It 5 Integration 5.1 Antidifferentiation: The Indefinite Integral 5.2 Integration by Substitution 5.3 The Definite Integral and the Fundamental Theorem of Calculus 5.4 Applying Definite Integration: Area Between Curves and Average Value 5.5 Additional Applications to Business and Economics 5.6 Additional Applications to the Life and Social Sciences Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 5 Review Problems Explore! Update Think About It 6 Additional Topics in Integration 6.1 Integration by Parts; Integral Tables 6.2 Introduction to Differential Equations 6.3 Improper Integrals; Continuous Probability 6.4 Numerical Integration Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 6 Review Problems Explore! Update Think About It 7 Calculus of Several Variables 7.1 Functions of Several Variables 7.2 Partial Derivatives 7.3 Optimizing Functions of Two Variables 7.4 The Method of Least-Squares 7.5 Constrained Optimization: The Method of Lagrange Multipliers 7.6 Double Integrals Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 7 Review Problems Explore! Update Think About It Appendix A: Algebra Review A.1 A Brief Review of Algebra A.2 Factoring Polynomials and Solving Systems of Equations A.3 Evaluating Limits with L'Hopital's Rule Appendix Summary Important Terms, Symbols, and Formulas Review Problems Think About It Tables I Powers of e II The Natural Logarithm (Base e) Text Solutions Answers to Odd-Numbered Problems, Chapter Checkup Problems, and Chapter Review Problems Index