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Interviews | November 3, 2009

Sheila A.: IMG On Storytelling: The Powells.com Interview with Donald Miller

2 comments By Sheila A.

donaldmillerDonald Miller is a Christian writer, but the question that Miller asks with his latest memoir, A Million Miles in a Thousand Years, is applicable to... Continue »
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    A Million Miles in a Thousand Years: What I Learned While Editing My Life

    Donald Miller
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Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition

Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition Cover

Synopses & Reviews

Publisher Comments:

The Expanded Eighth Edition of Applied Calculus for Business, Economics, and the Social and Life Sciences includes four additional chapters: - Chapter 8, Differential Equations- Chapter 9, Infinite Series and Taylor Approximations- Chapter 10, Probability and Calculus- Chapter 11, Trigonometric FunctionsThe textbook meets the needs of instructors who cover topics in one or more of these four chapters together with material from the initial seven chapters. This is often a two-semester course. (The word "Applied" in this title distinguishes this volume from the shorter edition.)The book introduces calculus in real-world contexts; the primary goal is to provide a sound, intuitive understanding of basic concepts students need as they pursue careers in business, the life sciences and the social sciences.

Synopsis:

Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition introduces calculus in real-world contexts and provides a sound, intuitive understanding of the basic concepts students need as they pursue careers in business, the life sciences, and the social sciences. This EXPANDED EDITION includes four additional chapters on Differential Equations, Infinite Series and Taylor Approximations, Probability, and Trigonometric Functions. The new Ninth Edition builds on the straightforward writing style, practical applications from a variety of disciplines, clear step-by-step problem solving techniques, and comprehensive exercise sets that have been hallmarks of Hoffmann/Bradleys success through the years.
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Table of Contents

Preface

Calculator Introduction

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 Problems

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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 Problems

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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

3.5 Additional Applied Optimization

Chapter Summary

Important Terms, Symbols, and Formulas
Checkup for Chapter 3
Review Problems

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4 Exponential and Logarithmic Functions

4.1 Exponential Functions

4.2 Logarithmic Functions

4.3 Differentiation of Logarithmic and Exponential Functions

4.4 Additional Exponential Models

Chapter Summary

Important Terms, Symbols, and Formulas
Checkup for Chapter 4
Review Problems

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 Problems

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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 Problems

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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 Problems

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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

Chapter Summary

Important Terms, Symbols, and Formulas
Checkup for Chapter 8
Review Problems

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9 Infinite Series and Taylor Series Approximations

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 Problems

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Think About It

10 Probability and Calculus

10.1 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 Problems

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 Problems

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

Appendix Summary

Important Terms, Symbols, and Formulas
Review Problems

Think About It

Tables

I Powers of e

II The Natural Logarithm (Base e)

III Trigonometric Functions

Text Solutions

Answers to Odd-Numbered Problems, Chapter Checkup Problems, and Chapter Review Problems

Index

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Product Details

ISBN:
9780073018560
Publisher:
McGraw-Hill Science/Engineering/Math McGraw-Hill Science/Engineering/Math
Location:
Dubuque, IA
Author:
Bradley, Gerald L.
Author:
Rosen, Kenneth H.
Author:
Hoffmann, Laurence D.
Subject:
Calculus
Copyright:
2005
Edition Number:
9
Edition Description:
Expanded
Series Volume:
27
Publication Date:
20040730
Binding:
Online electronic file accessible through online networks
Grade Level:
College/higher education:
Language:
English
Illustrations:
Y
Pages:
1008
Dimensions:
10.500 x 8.100 x 1.500 in 4.440 lb
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