Description
This applied calculus text uses intriguing real-world applications to show you the interesting and practical side of calculus. The book's many applications are related to finance, business, and such general-interest topics as learning curves in airplane production, the age of the Dead Sea Scrolls, Apple and Oracle stock prices, the distance traveled by sports cars, lives saved by seat belts, and the cost of a congressional victory. The Seventh Edition maintains the hallmark features that have made BRIEF APPLIED CALCULUS so popular: contemporary and interesting applications; careful and effective use of technology, including graphing calculator and spreadsheet coverage; constant learning reinforcement through section summaries, chapter summaries, annotated examples, and extra practice problems; Just-in-Time algebra review material; and a variety of exercises that allow you to practice and hone your problem-solving skills.教学资源：PPT、教师手册。
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Chapter
1.3 Functions:Linear and Quadratic
1.4 Functions:Polynomial,Rational,and Exponential
Chapter Summary with Hints and Suggestions
Review Exercises and Chapter Test
2 Derivatives and Their Uses
2.1 Limits and Continuity
2.2 Rates of Change,Slopes,and Derivatives
2.3 Some Differentiation Formulas
2.4 The Product and Quotient Rules
2.5 Higher-Order Derivatives
2.6 The Chain Rule and the Generalized Power Rule
2.7 Nondifferentiable Functions
Chapter Summary with Hints and Suggestions
Review Exercises and Chapter Test
3 Further Applications of Derivatives
3.1 Graphing Using the First Derivative
3.2 Graphing Using the First and Second Derivatives
3.4 Further Applications of Optimization
3.5 Optimizing Lot Size and Harvest Size
3.6 Implicit Differentiation and Related Rates
3.7 Differentials,Approximations,and Marginal Analysis
Chapter Summary with Hints and Suggestions
Review Exercises and Chapter Test
Cumulative Review for Chapters 1–3
4 Exponential and Logarithmic Functions
4.1 Exponential Functions
4.2 Logarithmic Functions
4.3 Differentiation of Logarithmic and Exponential Functions
4.4 Two Applications to Economics:Relative Rates and Elasticity of Demand
Chapter Summary with Hints and Suggestions
Review Exercises and Chapter Test
5 Integration and Its Applications
5.1 Antiderivatives and Indefinite Integrals
5.2 Integration Using Logarithmic and Exponential Functions
5.3 Definite Integrals and Areas
5.4 Further Applications of Definite Integrals:Average Value and Area Between Curves
5.5 Two Applications to Economics:Consumers' Surplus and Income Distribution
5.6 Integration by Substitution
Chapter Summary with Hints and Suggestions
Review Exercises and Chapter Test
6 Integration Techniques and Differential Equations
6.2 Integration Using Tables
6.4 Numerical Integration
6.5 Differential Equations
6.6 Further Applications of Differential Equations:Three Models of Growth
Chapter Summary with Hints and Suggestions
Review Exercises and Chapter Test
7 Calculus of Several Variables
7.1 Functions of Several Variables
7.3 Optimizing Functions of Several Variables
7.5 Lagrange Multipliers and Constrained Optimization
7.6 Total Differentials,Approximate Changes,and Marginal Analysis
Chapter Summary with Hints and Suggestions
Review Exercises and Chapter Test
Cumulative Review for Chapters 1–7
Appendix A Graphing Calculator Basics
Appendix B Algebra Review
Answers to Selected Exercises
Brief Applied Calculus
( APM )
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