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9780131856820

Additional Calculus Topics

by ; ;
  • ISBN13:

    9780131856820

  • ISBN10:

    0131856820

  • Format: Paperback
  • Copyright: 2006-01-01
  • Publisher: Pearson College Div
  • View Upgraded Edition

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Supplemental Materials

What is included with this book?

Summary

This three-chapter supplement to the tenth editions ofCalculus for Business, Economics, Life Sciences, and Social SciencesandCollege Mathematics for Business, Economics, Life Sciences, and Social Sciencesprovides additional coverage of differential equations, Taylor polynomials, infinite series, and the role of probability in calculus.Includes coverage of separable differential equations, first-order linear differential equations, and related applications. Provides increased emphasis on recognition of the relevant growth laws. Discusses the operations that can be performed on Taylor series and the effects of these operations on the interval of convergence. Presents comprehensive discussion of improper integrals and properties of continuous probability density functions, including the uniform, exponential, and normal probability distributions, that requires no previous experience with probability. Includes additional information on increments and differentials, L'Hopitalrs"s Rule, double integrals over more general regions, and interpolating polynomials.For anyone interested in learning more about calculus.

Table of Contents

Preface ix
Differential Equations
3(46)
Basic Concepts
3(11)
Separation of Variables
14(13)
First-Order Linear Differential Equations
27(22)
Chapter 1 Review
39(1)
Review Exercise
40(3)
Group Activity 1: Torricelli's Law
43(1)
Group Activity 2: Euler's Method
44(5)
Taylor Polynomials and Infinite Series
49(54)
Taylor Polynomials
49(15)
Taylor Series
64(11)
Operations on Taylor Series
75(11)
Approximations Using Taylor Series
86(17)
Chapter 2 Review
96(1)
Review Exercise
97(1)
Group Activity 1: L'Hopital's Rule
98(2)
Group Activity 2: Taylor Series Solutions to Differential Equations
100(3)
Probability and Calculus
103
Improper Integrals
103(8)
Continuous Random Variables
111(13)
Expected Value, Standard Deviation, and Median
124(11)
Special Probability Distributions
135(18)
Chapter 3 Review
146(1)
Review Exercise
147(3)
Group Activity 1: Beta Distributions
150(1)
Group Activity 2: Chi-Square Distributions
150(3)
Appendices A and B are found in the following publications: Calculus for Business Economics, Life Sciences and Social Sciences 10E (0-13-143261-3) and College Mathematics for Business, Economics, Life Sciences and Social Sciences 10E (0-13-143209-5)
Tables
153(2)
Table III Area Under the Standard Normal Curve
153(2)
Special Calculus Topics
155
Increments and Differentials
155(8)
L'Hopital's Rule
163(10)
Double Integrals over More General Regions
173(9)
Interpolating Polynomials and Divided Differences
182
Answers 1(1)
Solutions to Odd-Numbered Exercises 1(1)
Index 1

Supplemental Materials

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