Calculus for Business, Economics, and the Social and Life Sciences, Brief Edition,

by Laurence D. Hoffmann; Salomon Smith Barney

• ISBN13: 9780073309279
• ISBN10: 0073309273
• Edition: 9th
• Format: Hardcover
• Copyright: 2007-01-01
• Publisher: MCGRAW HILL

Summary

Calculus for Business, Economics, and the Social and Life Sciences, Brief 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. 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/Bradley's success through the years.

Table of Contents

Preface

Calculator Introduction

Functions, Graphs, and Limits

Functions

The Graph of a Function

Linear Functions

Functional Models

Limits

One-Sided Limits and Continuity Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter

Review Problems Explore! Update Think About It

Differentiation: Basic Concepts

The Derivative

Techniques of Differentiation

Product and Quotient Rules; Higher Order

The Chain Rule

Marginal Analysis and Approximations Using Increments

Implicit Differentiation and Related Rates Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 2 Review Problems Explore! Update Think About It

Additional Applications of the Derivative

Increasing and Decreasing Functions; Relative Extrema

Concavity and Points of Inflection

Curve Sketching

Optimization

Additional Applied Optimization Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 3 Review Problems Explore! Update Think About It

Exponential and Logarithmic Functions

Exponential Functions

Logarithmic Functions

Differentiation of Logarithmic and Exponential Functions

Additional Exponential Models Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 4 Review Problems Explore! Update Think About It

Integration

Antidifferentiation: The Indefinite Integral

Integration by Substitution

The Definite Integral and the Fundamental Theorem of Calculus

Applying Definite Integration: Area Between Curves and Average Value

Additional Applications to Business and Economics

Additional Applications to the Life and Social Sciences Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 5 Review Problems Explore! Update Think About It

Additional Topics in Integration

Integration by Parts; Integral Tables

Introduction to Differential Equations

Improper Integrals; Continuous Probability

Numerical Integration Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 6 Review Problems Explore! Update Think About It

Calculus of Several Variables

Functions of Several Variables

Partial Derivatives

Optimizing Functions of Two Variables

The Method of Least-Squares

Constrained Optimization: The Method of Lagrange Multipliers

Double Integrals Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 7 Review Problems Explore! Update Think About It

Algebra Review

A Brief Review of Algebra

Factoring Polynomials and Solving Systems of Equations

Evaluating Limits with L'Hocirc;pital'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) Text Solutions Answers to Odd-Numbered Problems, Chapter Checkup Problems, and Chapter Review Problems

Index

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