Applied Calculus For Business, Economics, and the Social and Life Sciences

applied Calculus For Business, Economics, And The Social And Life Sciences, Expanded Edition Provides A Sound, Intuitive Understanding Of The Basic Concepts Students Need As They Pursue Careers In Business, Economics, And The Life And Social Sciences. Students Achieve Success Using This Text As A Result Of The Author's Applied And Real-world Orientation To Concepts, Problem-solving Approach, Straight Forward And Concise Writing Style, And Comprehensive Exercise Sets. More Than 100,000 Students Worldwide Have Studied From This Text! Tittle Contents 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 Exercises 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 Exercises Explore! Update Think About It iii 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; Elasticity of Demand 3.5 Additional Applied Optimization Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 3 Review Exercises Explore! Update Think About It 4 Exponential and Logarithmic Functions 4.1 Exponential Functions; Continuous Compounding 4.2 Logarithmic Functions 4.3 Differentiation of Exponential and Logarithmic Functions 4.4 Applications; Exponential Models Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 4 Review Exercises 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 Exercises Explore! Update Think About It 6 Additional Topics in Integration 6.1 Integration by Parts; Integral Tables 6.2 Improper Integrals 6.3 Numerical Integration Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 6 Review Exercises 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 Exercises Explore! Update Think About It 8 Differential Equations 8.1 Introduction to Differential Equations 8.2 First-Order Linear Differential Equations 8.3 Additional Applications of Differential Equations 8.4 Approximate Solutions of Differential Equations 8.5 Difference Equations; The Cobweb Model Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 8 Review Exercises Explore! Update Think About It 9 Calculus of Several Variables 9.1 Infinite Series; Geometric Series 9.2 Tests for Convergence 9.3 Functions as Power Series; Taylor Series Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 9 Review Exercises Explore! Update Think About It 10 Probability and Calculus 10.1 Introduction to Probability; Discrete Random Variables 10.2 Continuous Random Variables 10.3 Expected Value and Variance of Continuous Random Variables 10.4 Normal and Poisson Probability Distributions Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 10 Review Exercises Explore! Update Think About It 11 Trigonometric Functions 11.1 The Trigonometric Functions 11.2 Differentiation and Integration of Trigonometric Functions 11.3 Additional Applications Involving Trigonometric Functions Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 11 Review Exercises 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'Hôpital's Rule TA B L E S I Powers of e II The Natural Logarithm (Base e) III Trigometric Functions A.4 The Summation Notation Appendix Summary Important Terms, Symbols, and Formulas Review Exercises Think About It Tables Answers to Odd-Numbered Excercises, Chapter Checkup Exercises, and Odd-Numbered Chapter Review Exercises Index Introduces calculus in real-world contexts and provides an intuitive understanding of the basic concepts students need as they pursue careers in business, the life sciences, and the social sciences. This title includes chapters on Differential Equations, Infinite Series and Taylor Approximations, Probability, and Trigonometric Functions.