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Tables of Contents for Calculus for the Managerial Life, and Social Sciences With Infotrac
Chapter/Section Title
Page #
Page Count
Preface
ix
Preliminaries
2
47
Precalculus Review I
3
9
Precalculus Review II
12
12
The Cartesian Coordinate System
24
8
Straight Lines
32
17
Chapter 1 Summary of Principal Formulas and Terms
47
1
Chapter 1 Review Exercises
47
2
Functions, Limits, and the Derivative
49
111
Function and Their Graphs
50
19
Using Technology: Graphing a Function
64
5
The Algebra of Functions
69
9
Portfolio: Michael Marchlik
74
4
Functions and Mathematical Models
78
19
Using Technology: Finding the Points of Intersection of Two Graphs and Modeling
92
5
Limits
97
21
Using Technology: Finding the Limit of a Function
114
4
One-Sided Limits and Continuity
118
18
Using Technology: Finding the Points of Discontinuity of a Function
132
4
The Derivative
136
24
Using Technology: Graphing a Function and Its Tangent Line
152
5
Chapter 2 Summary of Principal Formulas and Terms
157
1
Chapter 2 Review Exercises
158
2
Differentiation
160
90
Basic Rules of Differentiation
161
14
Using Technology: Finding the Rate of Change of a Function
170
5
The Product and Quotient Rules
175
13
Using Technology: The Product and Quotient Rules
184
4
The Chain Rule
188
13
Using Technology: Finding the Derivative of a Composite Function
196
5
Marginal Functions in Economics
201
14
Higher-Order Derivatives
215
9
Using Technology: Finding the Second Derivative of a Function at a Given Point
222
2
Implicit Differentiation and Related Rates
224
10
Differentials
234
16
Portfolio: John Decker
236
6
Using Technology: Finding the Differential of a Function
242
4
Chapter 3 Summary of Principal Formula and Terms
246
1
Chapter 3 Review Exercises
247
3
Applications of the Derivative
250
82
Applications of the First Derivative
251
20
Using Technology: Using the First Derivative to Analyze a Function
266
5
Applications of the Second Derivative
271
17
Using Technology: Finding the Inflection Points of a Function
284
4
Curve Sketching
288
15
Using Technology: Analyzing the Properties of a Function
300
3
Optimization I
303
15
Using Technology: Finding the Absolute Extrema of a Function
314
4
Optimization II
318
14
Chapter 4 Summary of Principal Terms
329
1
Chapter 4 Review Exercises
330
2
Exponential and Logarithmic Functions
332
65
Exponential Functions
333
8
Using Technology
338
3
Logarithmic Functions
341
8
Compound Interest
349
14
Portfolio: Misato Nakazaki
361
2
Differentiation of Exponential Functions
363
11
Using Technology
370
4
Differentiation of Logarithmic Functions
374
7
Exponential Functions as Mathematical Models
381
16
Using Technology: Analyzing Mathematical Models
390
5
Chapter 5 Summary of Principal Formulas and Terms
395
1
Chapter 5 Review Exercises
395
2
Integration
397
89
Antiderivatives and the Rules of Integration
398
14
Integration by Substitution
412
10
Area and the Definite Integral
422
10
The Fundamental Theorem of Calculus
432
10
Using Technology: Evaluating Definite Integrals
441
1
Evaluating Definite Integrals
442
12
Using Technology: Evaluating Definite Integrals for Piecewise-Defined Functions
450
4
Area between Two Curves
454
14
Using Technology: Finding the Area between Two Curves
464
4
Applications of the Definite Integral to Business and Economics
468
18
Using Technology: Business and Economic Applications
481
1
Chapter 6 Summary of Principal Formulas and Terms
482
1
Chapter 6 Review Exercises
483
3
Additional Topics in Integration
486
53
Integration by Parts
487
7
Integration Using Tables of Integrals
494
7
Numerical Integration
501
16
Portfolio: James H. Chesebro
514
3
Improper Integrals
517
9
Applications of Probability to Calculus
526
13
Chapter 7 Summary of Principal Formulas and Terms
536
1
Chapter 7 Review Exercises
537
2
Calculus of Several Variables
539
78
Functions of Several Variables
540
10
Partial Derivatives
550
15
Using Technology: Finding Partial Derivatives at a Given Point
562
3
Maxima and Minima of Functions of Several Variables
565
11
The Method of Least Squares
576
12
Using Technology: Finding an Equation of a Least-Squares Line
584
4
Constrained Maxima and Minima and the Method of Lagrange Multipliers
588
11
Double Integrals
599
18
Chapter 8 Summary of Principal Formulas and Terms
614
1
Chapter 8 Review Exercises
614
3
Answers to Odd-Numbered Exercises
617
38
Index
655