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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 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 erivative
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 Additonal 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 T0tal Accumulation
6．5 Integration by“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 TwoCurves
7．4 Integration by Parts
7．5 Numerical Integration
7．6 Improper Integrals
Chapter Renew 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
Index
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