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9780471213611

Student Study Guide to accompany Applied Calculus, 2nd Edition

by ;
  • ISBN13:

    9780471213611

  • ISBN10:

    0471213616

  • Edition: 2nd
  • Format: Paperback
  • Copyright: 2002-10-01
  • Publisher: Wiley
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List Price: $46.90

Summary

Work more effectively and gauge your progress along the way! This Student Study Guide is designed to accompany Hughes-Hallett's Applied Calculus, 2nd Edition. It is a step-by-step guide that walks students through the text as they read it and work problems while supporting the discovery approach. Achieving a fine balance between the concepts and procedures of calculus, Applied Calculus, 2nd Edition provides readers with the solid background they need in the subject with a thorough understanding of its applications in a wide range of fields - from biology to economics.

Table of Contents

Functions and Changep. 1
What is a Function?p. 2
Linear Functionsp. 4
Rates of Changep. 6
Applications of Functions to Economicsp. 8
Exponential Functionsp. 11
The Natural Logarithmp. 14
Exponential Growth and Decayp. 17
New Functions From Oldp. 20
Proportionality, Power Functions and Polynomialsp. 21
Periodic Functionsp. 24
Review of Chapter 1p. 26
Focus on Modelingp. 29
Fitting Formulas to Datap. 29
Compound Interest and the Number ep. 31
Focus on Theoryp. 33
Limits to Infinity and end Behaviorp. 33
Rate of Change: The Derivativep. 35
Instantaneous Rate of Changep. 36
The Derivative Functionp. 40
Interpretations of the Derivativep. 42
The Second Derivativep. 45
Marginal Cost and Revenuep. 48
Review of Chapter 2p. 50
Focus on Theoryp. 52
Limits, Continuity, and the Definition of the Derivativep. 52
Short-Cuts to Differentiationp. 55
Derivative Formulas for Powers and Polynomialsp. 56
Exponential and Logarithmic Functionsp. 58
The Chain Rulep. 60
The Product and Quotient Rulesp. 62
Derivatives of Periodic Functionsp. 63
Review of Chapter 3p. 64
Focus on Theoryp. 66
Establishing Derivative Formulasp. 66
Focus on Practicep. 67
Differentiationp. 67
Using the Derivativep. 69
Local Maxima and Minimap. 70
Inflection Pointsp. 73
Global Maxima and Minimap. 75
Profit, Cost, and Revenuep. 77
Average Costp. 79
Elasticity of Demandp. 81
Logistic Growthp. 83
The Surge Function and Drug Concentrationp. 86
Review of Chapter 4p. 88
Accumulated Change: The Definite Integralp. 91
Accumulated Changep. 92
The Definite Integralp. 94
The Definite Integral as Areap. 97
Interpretations of the Definite Integralp. 100
The Fundamental Theorem of Calculusp. 102
Review of Chapter 5p. 103
Focus on Theoryp. 105
Theorems About Definite Integralsp. 105
Using the Integralp. 107
Average Valuep. 108
Consumer and Producer Surplusp. 109
Present and Future Valuep. 111
Relative Growth Ratesp. 113
Review of Chapter 6p. 115
Antiderivativesp. 117
Constructing Antiderivatives Analyticallyp. 118
Integration by Substitutionp. 120
Using the Fundamental Theorem to Find Definite Integralsp. 121
Analyzing Antiderivatives Graphically and Numericallyp. 122
Review of Chapter 7p. 124
Probabilityp. 125
Density Functionsp. 126
Cumulative Distribution Functions and Probabilityp. 127
The Median and the Meanp. 129
Review of Chapter 8p. 131
Functions of Several Variablesp. 133
Understanding Functions of Two Variablesp. 134
Contour Diagramsp. 135
Partial Derivativesp. 138
Computing Partial Derivatives Algebraicallyp. 140
Critical Points and Optimizationp. 141
Constrained Optimizationp. 143
Review of Chapter 9p. 146
Focus on Theoryp. 148
Deriving the Formula for a Regression Linep. 148
Mathematical Modeling Using Differential Equationsp. 149
Math Modeling: Setting Up a Differential Equationp. 150
Solutions of Differential Equationsp. 151
Slope Fieldsp. 152
Exponential Growth and Decayp. 154
Applications and Modelingp. 155
Modeling the Interaction of Two Populationsp. 157
Modeling the Spread of a Diseasep. 159
Review of Chapter 10p. 160
Focus on Theoryp. 161
Table of Contents provided by Ingram. All Rights Reserved.

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