Preface vii
 Chapter 1 Functions,Models, and Average Rate of Change
  1.1 The Coordinate System and Functions
  1.2 Introduction to Problem Solving
  1.3 Linear Functions and Average Rate of Change
  1.4 Quadratic Functions and Average Rate of Change on an Interval
  1.5 Operations on Functions
  1.6 Rational,Radical,and Power Functions
  1.7 Exponential Functions
  1.8 Logarithmic Functions
  1.9 Modeling Data with Functions
   (Optional Section-Requires Graphing Calculator)
   Chapter Review Exercises
   Chapter 1 Project
 Chapter 2 Limits,Instantaneous Rate of Change, and the Derivative
  2.1 Limits
  2.2 Limits and Asymptotes
  2.3 Problem Solving: Rates of Change
  2.4 The Derivative
  2.5 Derivatives of Constants,Powers,and Sums
  2.6 Derivatives of Products and Quotients
  2.7 Continuity and Nondifferentiability
   Chapter Review Exercises
   Chapter 2 Project
 Chapter 3 Applications of the Derivative
  3.1 The Differential and Linear Approximations
  3.2 Marginal Analysis
  3.3 Measuring Rates and Errors
   Chapter Review Exercises
   Chapter 3 Project
 Chapter 4 Additional Differentiation Techniques
  4.1 The Chain Rule
  4.2 Derivatives of Logarithmic Functions
  4.3 Derivatives of Exponential Functions
  4.4 Implicit Differentiation and Related Rates
  4.5 Elasticity of Demand
   Chapter Review Exercises
   Chapter 4 Project
 Chapter 5 Further Applications of the Derivative
  5.1 First Derivatives and Graphs
  5.2 Second Derivatives and Graphs
  5.3 Graphical Analysis and Curve Sketching
  5.4 Optimizing Functions on a Closed Interval
  5.5 The Second Derivative Test and Optimization
   Chapter Review Exercises
   Chapter 5 Project
 Chapter 6 Integral Calculus
  6.1 The Indefinite Integral
  6.2 Area and the Definite Integral
  6.3 Fundamental Theorem of Calculus
  6.4 Problem Solving: Integral Calculus and Total Accumulation
  6.5 Integration by u-Substitution
  6.6 Integrals That Yield Logarithmic and Exponential Functions
  6.7 Differential Equations: Separation of Variables
  6.8 Differential Equations: Growth and Decay
   Chapter Review Exercises
   Chapter 6 Project
 Chapter 7 Applications of Integral Calculus
  7.1 Average Value of a Function and the Definite Integral in Finance
  7.2 Area between Curves and Applications
  7.3 Economic Applications of Area between Two Curves
  7.4 Integration by Parts
  7.5 Numerical Integration
  7.6 Improper Integrals
   Chapter Review Exercises
   Chapter 7 Project
 Chapter 8 Calculus of Several Variables
  8.1 Functions of Several Independent Variables
  8.2 Level Curves,Contour Maps,and Cross-sectional Analysis
  8.3 Partial Derivatives and Second-order Partial Derivatives
  8.4 Maxima and Minima
  8.5 Lagrange Multipliers
  8.6 Double Integrals
  Chapter Review Exercises
  Chapter 8 Project
 Appendix A Essentials of Algebra
 Appendix B Calculator Programs
 Appendix C Selected Proofs
 Appendix D Photo and Illustration Credits
 Answers to Odd-Numbered Exercises AN1
 Index II