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Calculus, 11th Edition Binder Ready Version

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Calculus, 
11th Edition
 Binder Ready Version strives to increase student comprehension and conceptual understanding through a balance between rigor and clarity of explanations; sound mathematics; and excellent exercises, applications, and examples.  Anton pedagogically approaches Calculus through the Rule of Four, presenting concepts from the verbal, algebraic, visual, and numerical points of view.

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Table of Contents

Introduction: The Roots of Calculus

1 LIMITS AND CONTINUITY

1.1 Limits (An Intuitive Approach)

1.2 Computing Limits

1.3 Limits at Infinity; End Behavior of a Function

1.4 Limits (Discussed More Rigorously)

1.5 Continuity

1.6 Continuity of Trigonometric Functions

2 THE DERIVATIVE

2.1 Tangent Lines and Rates of Change

2.2 The Derivative Function

2.3 Introduction to Techniques of Differentiation

2.4 The Product and Quotient Rules

2.5 Derivatives of Trigonometric Functions

2.6 The Chain Rule

2.7 Implicit Differentiation

2.8 Related Rates

2.9 Local Linear Approximation; Differentials

3 THE DERIVATIVE IN GRAPHIN AND APPLICATIONS

3.1 Analysis of Function I: Increase, Decrease, and Concavity

3.2 Analysis of Function II: Relative Extrema; Graphing Polynomials

3.3 Analysis of Functions III: Rational Functions, Cups, and Vertical Tangents

3.4 Absolute Maxima and Minima

3.5 Applied Maximum and Minimum Problems

3.6 Rectilinear Motion

3.7 Newton's Method

3.8 Rolle's Theorem; Mean-Value Theorem

4 INTEGRATION

4.1 An Overview of the Area Problem

4.2 The indefinite Integral

4.3 Integration by Substitution

4.4 The Definition of Area as a Limit; Sigma Notation

4.5 The Definite Integral

4.6 The Fundamental Theorem of Calculus

4.7 Rectilinear Motion Revisited Using Integration

4.8 Average Value of a Function and its Applications

4.9 Evaluating Definite Integrals by Substitution

5 APPLICATIONS OF THE DEFINITE INTEGRAL IN GEOMETRY, SCIENCE, AND ENGINEERING

5.1 Area Between Two Curves

5.2 Volumes by Slicing; Disks and Washers

5.3 Volumes by Cylindrical Shells

5.4 Length of a Plane Curve

5.5 Area of a Surface of Revolution

5.6 Work

5.7 Moments, Centers of Gravity, and Centroids

5.8 Fluid Pressure and Force

6 EXPONENTIAL, LOGARITHMIC, AND INVERSE TRIGONOMETRIC FUNCTIONS

6.1 Exponential and Logarithmic Functions

6.2 Derivatives and Integrals Involving Logarithmic Functions

6.3 Derivatives of Inverse Functions; Derivatives and Integrals Involving Exponential Functions

6.4 Graphs and Applications Involvig Logarithmic and Exponential Functions

6.5 LHopital's Rule; Indeterminate Forms

6.6 Logarithmic and Other Functions Defined by Integrals

6.7 Derivatives and Integrals Involving Inverse Trigonometric Functions

6.8 Hyperbolic Functions and Hanging Cables

7 PRINCIPLES OF INTEGRAL EVALUATION

7.1 An Overview of Integration Methods

7.2 Integration by Parts

7.3 Integrating Trigonometric Functions

7.4 Trigonometric Substitutions

7.5 Integrating Rational Functions by Partial Fractions

7.6 Using Computer Algebra Systems and Tables of Integrals

7.7 Numerical Integration; Simpson s Rule

7.8 Improper Integrals

8 MATHEMATICAL MODELING WITH DIFFERENTIAL EQUATIONS

8.1 Modeling with Differential Equations

8.2 Separation of Variables

8.3 Slope Fields; Euler s Method

8.4 First-Order Differential Equations and Applications

9 INFINITE SERIES

9.1 Sequences

9.2 Monotone Sequences

9.3 Infinite Series

9.4 Convergence Tests

9.5 The Comparison, Ratio, and Root Tests

9.6 Alternating Series; Absolute and Conditional Convergence

9.7 Maclaurin and Taylor Polynomials

9.8 Maclaurin and Taylor Series; Power Series

9.9 Convergence of Taylor Series

9.10 Differentiating and Integrating Power Series; Modeling with Taylor Series

10 PARAMETRIC AND POLAR CURVES; CONIC SECTIONS

10.1 Parametric Equations; Tangent Lines and Arc Length for Parametric Curves

10.2 Polar Coordinates

10.3 Tangent Lines, Arc Length, and Area for Polar Curves

10.4 Conic Sections

10.5 Rotation of Axes; Second-Degree Equations

10.6 Conic Sections in Polar Coordinates

11 Three-Dimensional Space; Vectors

11.1 Rectangular Coordinates in 3-Space; Spheres; Cylindrical Surfaces

11.2 Vectors

11.3 Dot Product; Projections

11.4 Cross Product

11.5 Parametric Equations of Lines

11.6 Planes in 3-Space

11.7 Quadric Surfaces

11.8 Cylindrical and Spherical Coordinates

12 Vector-Valued Functions

12.1 Introduction to Vector-Valued Functions

12.2 Calculus of Vector-Valued Functions

12.3 Change of Parameter; Arc Length

12.4 Unit Tangent, Normal, and Binormal Vectors

12.5 Curvature

12.6 Motion Along a Curve

12.7 Kepler s Laws of Planetary Motion

13 Partial Derivatives

13.1 Functions of Two or More Variables

13.2 Limits and Continuity

13.3 Partial Derivatives

13.4 Differentiability, Differentials, and Local Linearity

13.5 The Chain Rule

13.6 Directional Derivatives and Gradients

13.7 Tangent Planes and Normal Vectors

13.8 Maxima and Minima of Functions of Two Variables

13.9 Lagrange Multipliers

14 Multiple Integrals

14.1 Double Integrals

14.2 Double Integrals over Nonrectangular Regions

14.3 Double Integrals in Polar Coordinates

14.4 Surface Area; Parametric Surfaces

14.5 Triple Integrals

14.6 Triple Integrals in Cylindrical and Spherical Coordinates

14.7 Change of Variables in Multiple Integrals; Jacobians

14.8 Centers of Gravity Using Multiple Integrals

15 Topics In Vector Calculus

15.1 Vector Fields

15.2 Line Integrals

15.3 Independence of Path; Conservative Vector Fields

15.4 Green s Theorem

15.5 Surface Integrals

15.6 Applications of Surface Integrals; Flux

15.7 The Divergence Theorem

15.8 Stokes Theorem

APPENDICES

A TRIGONOMETRY SUMMARY

B FUNCTIONS (SUMMARY)

C NEW FUNCTIONS FROM OLD (SUMMARY)

D FAMILIES OF FUNCTIONS (SUMMARY)

E INVERSE FUNCTIONS (SUMMARY)

ANSWERS TO ODD-NUMBERED EXERCISES

INDEX

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WileyPLUS with ORION: WileyPLUS is equipped with an adaptive learning module called ORION. Based on cognitive science, WileyPLUS with ORION provides students with a personal, adaptive learning experience to build their proficiency on topics and use their study time more effectively.  It helps students learn by learning about them.

ORION Refresher Module: An adaptive practice to master algebra, trigonometry, and polynomial equations provides students with a personalized study plan to master concepts prior to the course, allowing for instructors to focus class time on Calculus.

Video Program: Videos of worked examples and problems covering the subject material in the Single Variable chapters of the 11th edition.

Math Enhancements: Measure conceptual understanding in an online learning environment, through intelligent tutoring, graphing enhancements, improvements to Show Work Whiteboard, expanded test bank functionality, and enhanced grading rules functionality.  

Pre-created activities encourage learning outside of the classroom through gradable reading assignment questions and more than 3,000 end-of-chapter problems coded algorithmically.

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The Wiley Advantage

The Wiley Advantage

WileyPLUS is a research-based online environment for effective teaching and learning. Interactive study tools and resources–including the complete online textbook–give students more value for their money.

Industry-leading support from WileyPLUS with ORION: Resources and personal support are available from the first day of class onward through technical support; WileyPLUS account managers; WileyPLUS with QuickStart; and WileyPLUS Student Partner Program.

Relevant student study tools and learning resources: Ensures positive learning outcomes including: graphing and math Palette tutorial videos; interactive illustrations; calculus applets; and student practice activities.

Technology Exercises: In the textbook, these exercises—marked with an icon for easy identification—are designed to be solved using either a graphing calculator or a computer algebra system such as Mathematics, Maple, or Derive. 

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Student Solutions Manual
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Student Study Guide
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Instructor's Solutions Manual
Contains detailed solutions to all questions, exercises, and problems in the textbook.
Student Study Guide
Contains tools to help support material from the text, including chapter outlines, chapter reviews of key concepts, and a glossary of key terms.
Instructor's Resource Manual
Offers helpful teaching ideas, advice on course development, sample assignments, learning objectives, lecture outlines, class exercises, lecture notes, chapter reviews, and more!
Test Bank
Test your students' comprehension with this digital collection of fill-in-the-blank, multiple-choice, true/false, and free-response questions.
PowerPoint Presentations
Our PowerPoint presentations contain a combination of key concepts allowing you to illustrate important topics with images, figures, and problems from the textbook.
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Students Resources
Wiley Student Companion Site
Instructor's Resource Manual
Offers helpful teaching ideas, advice on course development, sample assignments, learning objectives, lecture outlines, class exercise, lecture notes, and chapter reviews.
Student Solutions Manual
Step-by-step instructions explain how to complete a question/problem, providing further assistance to students struggling to come up with the correct answer.
Student Study Guide
Contains tools to help support material from the text, including chapter outlines, chapter reviews of key concepts, and a glossary of key terms.
Student Study Guide
Contains tools to help support material from the text, including chapter outlines, chapter reviews of key concepts, and a glossary of key terms.
PowerPoint Presentations
Our PowerPoint presentations contain a combination of key concepts allowing you to illustrate important topics with images, figures, and problems from the textbook.
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Purchase Options
Wiley E-Text   
Calculus: Single Variable, 11th Edition
ISBN : 978-1-118-88559-8
768 pages
August 2016, ©2016
$80.00   BUY

Wiley E-Text   
Calculus, 11th Edition
ISBN : 978-1-119-14780-0
1168 pages
August 2016, ©2016
$96.00   BUY

Loose-leaf   
Calculus: Single Variable, Binder Ready Version, 11th Edition
ISBN : 978-1-118-88561-1
768 pages
May 2016, ©2016
$156.95   BUY

Loose-leaf   
Calculus, Binder Ready Version, 11th Edition
ISBN : 978-1-118-88613-7
1168 pages
May 2016, ©2016
$187.95   BUY

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