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Calculus Single Variable, 10th Edition

by: Anton, Howard; Bivens, Irl; Davis, Stephen

Calculus Single Variable, 10th Edition

by: Anton, Howard; Bivens, Irl; Davis, Stephen

ISBN 13:
9780470647707
ISBN 10:
0470647701
Edition: 10th
Format: Hardcover
Copyright: 02/28/2012
Publisher: Wiley

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Summary

The 10th edition of Calculus Single Variable continues to bring together the best of both new and traditional curricula in an effort to meet the needs of even more instructors teaching calculus. The author team's extensive experience teaching from both traditional and innovative books and their expertise in developing innovative problems put them in an unique position to make this new curriculum meaningful for those going into mathematics and those going into the sciences and engineering. This new text exhibits the same strengths from earlier editions including an emphasis on modeling and a flexible approach to technology.

Before Calculus	p. 1
Functions	p. 1
New Functions from Old	p. 15
Families of Functions	p. 27
Inverse Functions	p. 38
Limits And Continuity	p. 49
Limits (An Intuitive Approach)	p. 49
Computing Limits	p. 62
Limits at Infinity; End Behavior of a Function	p. 71
Limits (Discussed More Rigorously)	p. 81
Continuity	p. 90
Continuity of Trigonometric Functions	p. 101
The Derivative	p. 110
Tangent Lines and Rates of Change	p. 110
The Derivative Function	p. 122
Introduction to Techniques of Differentiation	p. 134
The Product and Quotient Rules	p. 142
Derivatives of Trigonometric Functions	p. 148
The Chain Rule	p. 153
Implicit Differentiation	p. 161
Related Rates	p. 168
Local Linear Approximation; Differentials	p. 175
The Derivative In Graphing And Applications	p. 187
Analysis of Functions I: Increase, Decrease, and Concavity	p. 187
Analysis of Functions II: Relative Extrema; Graphing Polynomials	p. 197
Analysis of Functions III: Rational Functions, Cusps, and Vertical Tangents	p. 207
Absolute Maxima and Minima	p. 216
Applied Maximum and Minimum Problems	p. 224
Rectilinear Motion	p. 238
Newton's Method	p. 246
Rolle's Theorem; Mean-Value Theorem	p. 252
Integration	p. 265
An Overview of the Area Problem	p. 265
The Indefinite Integral	p. 271
Integration by Substitution	p. 281
The Definition of Area as a Limit; Sigma Notation	p. 287
The Definite Integral	p. 300
The Fundamental Theorem of Calculus	p. 309
Rectilinear Motion Revisited Using Integration	p. 322
Average Value of a Function and its Applications	p. 332
Evaluating Definite Integrals by Substitution	p. 337
Applications Of The Definite Integral In Geometry, Science, And Engineering	p. 347
Area Between Two Curves	p. 347
Volumes by Slicing; Disks and Washers	p. 355
Volumes by Cylindrical Shells	p. 365
Length of a Plane Curve	p. 371
Area of a Surface of Revolution	p. 377
Work	p. 382
Moments, Centers of Gravity, and Centroids	p. 391
Fluid Pressure and Force	p. 400
Exponential, Logarithmic, And Inverse Trigonometric Functions	p. 409
Exponential and Logarithmic Functions	p. 409
Derivatives and Integrals Involving Logarithmic Functions	p. 420
Derivatives of Inverse Functions; Derivatives and Integrals Involving Exponential Functions	p. 427
Graphs and Applications Involving Logarithmic and Exponential Functions	p. 434
L'Hôpital's Rule; Indeterminate Forms	p. 441
Logarithmic and Other Functions Defined by Integrals	p. 450
Derivatives and Integrals Involving Inverse Trigonometric Functions	p. 462
Hyperbolic Functions and Hanging Cables	p. 472
Principles Of Integral Evaluation	p. 488
An Overview of Integration Methods	p. 488
Integration by Parts	p. 491
Integrating Trigonometric Functions	p. 500
Trigonometric Substitutions	p. 508
Integrating Rational Functions by Partial Fractions	p. 514
Using Computer Algebra Systems and Tables of Integrals	p. 523
Numerical Integration; Simpson's Rule	p. 533
Improper Integrals	p. 547
Mathematical Modeling With Differential Equations	p. 561
Modeling with Differential Equations	p. 561
Separation of Variables	p. 568
Slope Fields; Euler's Method	p. 579
First-Order Differential Equations and Applications	p. 586
Infinite Series	p. 596
Sequences	p. 596
Monotone Sequences	p. 607
Infinite Series	p. 614
Convergence Tests	p. 623
The Comparison, Ratio, and Root Tests	p. 631
Alternating Series; Absolute and Conditional Convergence	p. 638
Maclaurin and Taylor Polynomials	p. 648
Maclaurin and Taylor Series; Power Series	p. 659
Convergence of Taylor Series	p. 668
Differentiating and Integrating Power Series; Modeling with Taylor Series	p. 678
Parametric And Polar Curves; Conic Sections	p. 692
Parametric Equations; Tangent Lines and Arc Length for Parametric Curves	p. 692
Polar Coordinates	p. 705
Tangent Lines, Arc Length, and Area for Polar Curves	p. 719
Conic Sections	p. 730
Rotation of Axes; Second-Degree Equations	p. 748
Conic Sections in Polar Coordinates 754 A APPENDICES A GRAPHING FUNCTIONS USING CALCULATORS AND COMPUTER ALGEBRA SYSTEMS A1 B TRIGONOMETRY REVIEW A13 C SOLVING POLYNOMIAL EQUATIONS A27 D SELECTED PROOFS A34 ANSWERS TO ODD-NUMBERED EXERCISES A45
Index	p. I-1
Web Appendices (online only)
Available for download atwww.wiley.com/college/anton or atwww.howardanton.com and in WileyPLUS
Real Numbers, Intervals, And Inequalities
Absolute Value
Coordinate Planes, Lines, And Linear Functions
Distance, Circles, And Quadratic Equations
Early Parametric Equations Option
Mathematical Models
The Discriminant
Second-Order Linear Homogeneous Differential Equations
Web Projects: Expanding the Calculus Horizon (online only)
Available for download atwww.wiley.com/college/anton or atwww.howardanton.com and in WileyPLUS
Blammo The Human Cannonball
Comet Collision
Hurricane Modeling
Iteration And Dynamical Systems
Railroad Design
Robotics
Table of Contents provided by Publisher. All Rights Reserved.

Amazon no longer offers textbook rentals. We do!

Calculus Single Variable, 10th Edition

Calculus Single Variable, 10th Edition

9780470647707

0470647701

Summary

Table of Contents

Supplemental Materials

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