search for books and compare prices
Tables of Contents for Calculus
Chapter/Section Title
Page #
Page Count
A Word from the Authors (Preface)
vii
Features
ix
A Plan for You as a Student
xx
A Precalculus Review
0-1
1
The Real Line and Order
0-2
6
Absolute Value and Distance on the Real Line
0-8
5
Exponents and Radicals
0-13
6
Factoring Polynomials
0-19
6
Fractions and Rationalization
0-25
1
Functions, Graphs, and Limits
1
80
The Cartesian Plane and the Distance Formula
2
9
Graphs of Equations
11
13
Lines in the Plane and Slope
24
12
Functions
36
13
Limits
49
12
Continuity
61
20
Differentiation
81
90
The Derivative and the Slope of a Graph
82
11
Some Rules for Differentiation
93
12
Rates of Change: Velocity and Marginals
105
15
The Product and Quotient Rules
120
11
The Chain Rule
131
9
Higher-Order Derivatives
140
7
Implicit Differentiation
147
7
Related Rates
154
17
Applications of the Derivative
171
86
Increasing and Decreasing Functions
172
9
Extrema and the First-Derivative Test
181
10
Concavity and the Second-Derivative Test
191
10
Optimization Problems
201
9
Business and Economics Applications
210
10
Asymptotes
220
11
Curve Sketching: A Summary
231
9
Differentials and Marginal Analysis
240
17
Exponential and Logarithmic Functions
257
56
Exponential Functions
258
11
Derivatives of Exponential Functions
269
8
Logarithmic Functions
277
9
Derivatives of Logarithmic Functions
286
9
Exponential Growth and Decay
295
18
Integration and Its Applications
313
70
Antiderivatives and Indefinite Integrals
314
11
The General Power Rule
325
8
Exponential and Logarithmic Integrals
333
7
Area and the Fundamental Theorem of Calculus
340
11
The Area of a Region Bounded by Two Graphs
351
9
The Definite Integral as the Limit of a Sum
360
7
Volumes of Solids of Revolution
367
16
Techniques of Integration
383
68
Integration by Substitution
384
8
Integration by Parts and Present Value
392
10
Partial Fractions and Logistics Growth
402
10
Integration Tables and Completing the Square
412
10
Numerical Integration
422
10
Improper Integrals
432
19
Functions of Several Variables
451
94
The Three-Dimensional Coordinate System
452
8
Surfaces in Space
460
10
Functions of Several Variables
470
9
Partial Derivatives
479
11
Extrema of Functions of Two Variables
490
10
Lagrange Multipliers
500
10
Least Squares Regression Analysis
510
10
Double Integrals and Area in the Plane
520
8
Applications of Double Integrals
528
17
Trigonometric Functions
545
68
Radian Measure of Angles
546
8
The Trigonometric Functions
554
11
Graphs of Trigonometric Functions
565
11
Derivatives of Trigonometric Functions
576
10
Integrals of Trigonometric Functions
586
9
L'Hopital's Rule
595
18
Probability and Calculus
613
36
Discrete Probability
614
10
Continuous Random Variables
624
7
Expected Value and Variance
631
18
Series and Taylor Polynomials
649
50
Sequences
650
9
Series and Convergence
659
12
p-Series and the Ratio Test
671
8
Power Series and Taylor's Theorem
679
10
Taylor Polynomials
689
10
Newton's Method
699
Appendices
A1
Appendix A Alternate Introduction to the Fundamental Theorem of Calculus
A2
Appendix B Formulas, Properties, and Measurements
A12
Appendix C Graphing Utility Programs
A37
Appendix D Differential Equations
A49
D.1 Solutions of Differential Equations
A49
D.2 Separation of Variables
A56
D.3 First-Order Linear Differential Equations
A63
D.4 Applications of Differential Equations
A69
Answers to Selected Exercises
A77
Index
A165