Brief Applied Calculus ( APM )

Publication series :APM

Author: Geoffrey C. Berresford;Andrew M. Rockett  

Publisher: Cengage‎

Publication year: 2009

E-ISBN: 9781133374107

P-ISBN(Paperback): 9780547169774

Subject: O172 Calculus

Keyword: 代数、数论、组合理论,应用数学

Language: ENG

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Description

This text for the one semester applied or business calculus course uses intriguing real-world applications to engage students' interest and show them the practical side of calculus. Many applications are financial or business related, but many applications in this text cover general-interest topics as well, including the growing population of Africa, the composition of the Supreme Court, water shortage, the fastest pitch in baseball, and pollution and the depletion of natural resources. The Fifth Edition maintains the hallmark features that have made Brief Applied Calculus so popular: contemporary and interesting applications; careful and effective use of technology, including integrated calculator coverage that is optional; constant pedagogical reinforcement through section summaries, chapter summaries, carefully annotated examples, and extra practice problems; and a variety of exercises and assignment options including exercise sets, projects, and essays.教学资源:教师手册、题库、Graphing Calculator Programs、Graphing Calculator Terminology、Application Previews、Projects and Essays。 教学资源目前仅能提供给老师,获取方式如下: 1. 邮箱获取:将教辅需求发邮件至asia.infochina@cengage.com 2. 电话获取:010-83435111 3. 微信获取:关注我们的公众号,会由客服人员答疑解惑 公众号名称:圣智教育服务中心 微信号:Cengage_Learning 4. QQ获取:加入我们的QQ群 群名称:圣智教育服务中心 群号:658668132

Chapter

1.2 Exponents

1.3 Functions:Linear and Quadratic

1.4 Functions:Polynomial,Rational,and Exponential

Chapter Summary with Hints and Suggestions

Review Exercises for Chapter 1

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 for Chapter 2

3 FURTHER APPLICATIONS OF DERIVATIVES

3.1 Graphing Using the First Derivative

3.2 Graphing Using the First and Second Derivatives

3.3 Optimization

3.4 Further Applications of Optimization

3.5 Optimizing Lot Size and Harvest Size

3.6 Implicit Differentiation and Related Rates

Chapter Summary with Hints and Suggestions

Review Exercises for Chapter 3

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 for Chapter 4

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 for Chapter 5

6 INTEGRATION TECHNIQUES AND DIFFERENTIAL EQUATIONS

6.1 Integration by Parts

6.2 Integration Using Tables

6.3 Improper Integrals

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 for Chapter 6

7 CALCULUS OF SEVERAL VARIABLES

7.1 Functions of Several Variables

7.2 Partial Derivatives

7.3 Optimizing Functions of Several Variables

7.4 Least Squares

7.5 Lagrange Multipliers and Constrained Optimization

7.6 Total Differentials and Approximate Changes

7.7 Multiple Integrals

Chapter Summary with Hints and Suggestions

Review Exercises for Chapter 7

Cumulative Review for Chapters 1-7

Answers to Selected Exercises

Index

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