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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 by Hoffmann, Laurence D.; Bradley, Gerald L.;

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    A termék adatai:

    • Kiadás sorszáma 9
    • Kiadó McGraw-Hill Higher Education
    • Megjelenés dátuma 2006. január 1.

    • ISBN 9780073229799
    • Kötéstípus Kötés ismeretlen
    • Terjedelem oldal
    • Méret 259x210x40 mm
    • Súly 2046 g
    • Nyelv angol
    • 0

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    Hosszú leírás:

    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/Bradley?s success through the years.

    Több

    Tartalomjegyzék:

    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

    Explore! Update

    Think About It

    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

    Explore! Update

    Think About It

    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

    Explore! Update

    Think About It

    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

    Explore! Update

    Think About It

    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

    Explore! Update

    Think About It

    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

    Explore! Update

    Think About It

    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

    Explore! Update

    Think About It

    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

    Explore! Update

    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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