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Calculus with Applications,9780321228147
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Calculus with Applications

by ; ;
Edition:
9th
ISBN13:

9780321228147

ISBN10:
0321228146
Format:
Hardcover
Pub. Date:
1/1/2008
Publisher(s):
Addison Wesley

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Summary

Widely known for incorporating interesting, relevant, and realistic applications, this text offers many real applications citing current data sources. There are a wide variety of opportunities for use of technology, allowing for increased visualization and a better understanding of difficult concepts. MyMathLab, a complete online course, will be available with this text. For the first time, a comprehensive series of lectures on video will be available.

Table of Contents

Preface ix
Index of Applications xv
Algebra Reference xix
Polynomials xx
Factoring xxiii
Rational Expressions xxv
Equations xxix
Inequalities xxxv
Exponents xl
Radicals xlv
Linear Functions
1(48)
Slopes and Equations of Lines
2(18)
Linear Functions and Applications
20(10)
The Least Squares Line
30(19)
Review Exercises
44(3)
Extended Application: Using Extrapolation to Predict Life Expectancy
47(2)
Nonlinear Functions
49(90)
Properties of Functions
50(14)
Quadratic Functions; Translation and Reflection
64(12)
Polynomials and Rational Functions
76(14)
Exponential Functions
90(13)
Logarithmic Functions
103(14)
Applications: Growth and Decay; Mathematics of Finance
117(22)
Review Exercises
129(8)
Extended Application: Characteristics of the Monkeyface Prickleback
137(2)
The Derivative
139(72)
Limits
140(18)
Continuity
158(8)
Rates of Change
166(12)
Definition of the Derivative
178(19)
Graphical Differentiation
197(14)
Review Exercises
205(6)
Calculating the Derivative
211(58)
Techniques for Finding Derivatives
212(16)
Derivatives of Products and Quotients
228(8)
The Chain Rule
236(11)
Derivatives of Exponential Functions
247(8)
Derivatives of Logarithmic Functions
255(14)
Review Exercises
265(4)
Graphs and the Derivative
269(56)
Increasing and Decreasing Functions
270(12)
Relative Extrema
282(13)
Higher Derivatives, Concavity, and the Second Derivative Test
295(15)
Curve Sketching
310(15)
Review Exercises
320(5)
Applications of the Derivative
325(56)
Absolute Extrema
326(9)
Applications of Extrema
335(11)
Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand
346(9)
Implicit Differentiation
355(7)
Related Rates
362(7)
Differentials: Linear Approximation
369(12)
Review Exercises
376(3)
Extended Application: A Total Cost Model for a Training Program
379(2)
Integration
381(78)
Antiderivatives
382(12)
Substitution
394(9)
Area and the Definite Integral
403(14)
The Fundamental Theorem of Calculus
417(11)
The Area Between Two Curves
428(10)
Numerical Integration
438(21)
Review Exercises
450(6)
Extended Application: Estimating Depletion Dates for Minerals
456(3)
Further Techniques and Applications of Integration
459(38)
Integration by Parts
460(9)
Volume and Average Value
469(7)
Continuous Money Flow
476(8)
Improper Integrals
484(13)
Review Exercises
492(3)
Extended Application: Estimating Learning Curves in Manufacturing with Integrals
495(2)
Multivariable Calculus
497(71)
Functions of Several Variables
498(12)
Partial Derivatives
510(12)
Maxima and Minima
522(10)
Lagrange Multipliers
532(8)
Total Differentials and Approximations
540(6)
Double Integrals
546(22)
Review Exercises
559(5)
Extended Application: Using Multivariable Fitting to Create a Response Surface Design
564(4)
Differential Equations
568(44)
Solutions of Elementary and Separable Differential Equations
569(13)
Linear First-Order Differential Equations
582(6)
Euler's Method
588(8)
Applications of Differential Equations
596(16)
Review Exercises
606(4)
Extended Application: Pollution of the Great Lakes
610(2)
Probability and Calculus
612(41)
Continuous Probability Models
613(10)
Expected Value and Variance of Continuous Random Variables
623(9)
Special Probability Density Functions
632(21)
Review Exercises
645(5)
Extended Application: Exponential Waiting Times
650(3)
Sequences and Series
653(56)
Geometric Sequences
654(4)
Annuities: An Application of Sequences
658(12)
Taylor Polynomials at 0
670(9)
Infinite Series
679(7)
Taylor Series
686(10)
Newton's Method
696(5)
L'Hospital's Rule
701(8)
Review Exercises
706(3)
The Trigonometric Functions
709(40)
Definitions of the Trigonometric Functions
710(16)
Derivatives of Trigonometric Functions
726(12)
Integrals of Trigonometric Functions
738(11)
Review Exercises
745(4)
Extended Application: The Shortest Time and the Cheapest Path
749


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