Pearson - Thomas' Calculus, Media Upgrade, 11/E - George B. Thomas, Jr., Maurice D. Weir, Joel Hass & Frank R. Giordano

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Description

Calculus hasn’t changed, but your students have. Many of today’s students have seen calculus before at the high school level. However, professors report nationwide that students come into their calculus courses with weak backgrounds in algebra and trigonometry, two areas of knowledge vital to the mastery of calculus. Thomas’ Calculus, Media Upgrade, Eleventh Edition responds to the needs of today’s students by developing their conceptual understanding while maintaining a rigor appropriate to the calculus course.

Thomas’ Calculus, Media Upgrade, Eleventh Edition is now available with an enhanced MyMathLab^™ course—the ultimate homework, tutorial and study solution for today’s students. The enhanced MyMathLab course includes a rich and flexible set of course materials and features innovative Java™ Applets, Group Projects, and new MathXL^® exercises. This text is also available with WebAssign^® and WeBWorK^®.

Features

Strong Examples and Exercise Sets encourage students to think clearly about the problems, reinforcing their mathematical intuition.
Exceptional Art Captions and Multifigured Images provide insight for students and support quantitative and conceptual reasoning.
Strong Multivariable Coverage helps students make the leap from single variable to multivariable calculus.
Flexible Table of Contents that divides complex topics into smaller sections and provides instructors with unlimited flexibility in creating course outlines. The table of contents introduces the exponential, logarithmic, and trigonometric functions in Chapter 7 and continues to revisit these ideas in subsequent chapters of the text.

New To This Edition

Enhanced MyMathLab^™for the Thomas’ Calculus Series. MyMathLab^™ is a series of text-specific, easily customizable online courses for Addison-Wesley textbooks in mathematics. MyMathLab^™ provides a rich and flexible set of course materials, featuring free-response exercises that are algorithmically generated for unlimited practice and mastery. Instructors can use the homework and test managers to select and assign online exercises correlated directly to the textbook, and they can import TestGen^® tests into MyMathLab for added flexibility. The enhancements for the media edition of Thomas include:
- New Java^™ Applets allow students to interact with three-dimensional visualizations of multivariable calculus problems. These exploratory questions help students visualize and experiment with abstract concepts. The pedagogical links tie the applets directly to the content of the book, and are available with every section of the multivariable chapters.
- Group Projects are new applied problems that can be used in the classroom or assigned to students working in teams. As students work through these projects, they learn how to generalize essential concepts by using calculus to creatively solve challenging real world problems.
- New MathXL^® Exercises expand on the already impressive array of problem sets in the text, giving students greater opportunities to practice solving problems. The new MathXL exercises include:
  - Precalculus Review Exercises to help students strengthen their algebra and trigonometry skills.
  - Routine, Mid-level, and Advanced Exercises to help build students’ mathematical intuition and conceptual understanding.

Table of Contents

(Practice Exercises, Additional Exercises, and Questions to Guide Your Review appear at the end of each chapter.)

Preliminaries

Real Numbers and the Real Line

Lines, Circles, and Parabolas

Functions and Their Graphs

Identifying Functions; Mathematical Models

Combining Functions; Shifting and Scaling Graphs

Trigonometric Functions

Graphing with Calculators and Computers

2. Limits and Derivatives

Rates of Change and Limits

Calculating Limits Using the Limit Laws

Precise Definition of a Limit

One-Sided Limits and Limits at Infinity

Infinite Limits and Vertical Asymptotes

Continuity

Tangents and Derivatives

3. Differentiation

The Derivative as a Function

Differentiation Rules

The Derivative as a Rate of Change

Derivatives of Trigonometric Functions

The Chain Rule and Parametric Equations

Implicit Differentiation

Related Rates

Linearization and Differentials

4. Applications of Derivatives

Extreme Values of Functions

The Mean Value Theorem

Monotonic Functions and the First Derivative Test

Concavity and Curve Sketching

Applied Optimization Problems

Indeterminate Forms and L'Hopital's Rule

Newton's Method

Antiderivatives

5. Integration

Estimating with Finite Sums

Sigma Notation and Limits of Finite Sums

The Definite Integral

The Fundamental Theorem of Calculus

Indefinite Integrals and the Substitution Rule

Substitution and Area Between Curves

6. Applications of Definite Integrals

Volumes by Slicing and Rotation About an Axis

Volumes by Cylindrical Shells

Lengths of Plane Curves

Moments and Centers of Mass

Areas of Surfaces of Revolution and The Theorems of Pappus

Work

Fluid Pressures and Forces

7. Transcendental Functions

Inverse Functions and their Derivatives

Natural Logarithms

The Exponential Function

ax and loga x

Exponential Growth and Decay

Relative Rates of Growth

Inverse Trigonometric Functions

Hyperbolic Functions

8. Techniques of Integration

Basic Integration Formulas

Integration by Parts

Integration of Rational Functions by Partial Fractions

Trigonometric Integrals

Trigonometric Substitutions

Integral Tables and Computer Algebra Systems

Numerical Integration

Improper Integrals

9. Further Applications of Integration

Slope Fields and Separable Differential Equations

First-Order Linear Differential Equations

Euler's Method

Graphical Solutions of Autonomous Equations

Applications of First-Order Differential Equations

10. Conic Sections and Polar Coordinates

Conic Sections and Quadratic Equations

Classifying Conic Sections by Eccentricity

Quadratic Equations and Rotations

Conics and Parametric Equations; The Cycloid

Polar Coordinates

Graphing in Polar Coordinates

Area and Lengths in Polar Coordinates

Conic Sections in Polar Coordinates

11. Infinite Sequences and Series

Sequences

Infinite Series

The Integral Test

Comparison Tests

The Ratio and Root Tests

Alternating Series, Absolute and Conditional Convergence

Power Series

Taylor and Maclaurin Series

Convergence of Taylor Series; Error Estimates

Applications of Power Series

Fourier Series

12. Vectors and the Geometry of Space

Three-Dimensional Coordinate Systems

Vectors

The Dot Product

The Cross Product

Lines and Planes in Space

Cylinders and Quadric Surfaces

13. Vector-Valued Functions and Motion in Space

Vector Functions

Modeling Projectile Motion

Arc Length and the Unit Tangent Vector T

Curvature and the Unit Normal Vector N

Torsion and the Unit Binormal Vector B

Planetary Motion and Satellites

14. Partial Derivatives

Functions of Several Variables

Limits and Continuity in Higher Dimensions

Partial Derivatives

The Chain Rule

Directional Derivatives and Gradient Vectors

Tangent Planes and Differentials

Extreme Values and Saddle Points

Lagrange Multipliers

*Partial Derivatives with Constrained Variables

Taylor's Formula for Two Variables

15. Multiple Integrals

Double Integrals

Areas, Moments and Centers of Mass*

Double Integrals in Polar Form

Triple Integrals in Rectangular Coordinates

Masses and Moments in Three Dimensions

Triple Integrals in Cylindrical and Spherical Coordinates

Substitutions in Multiple Integrals

16. Integration in Vector Fields

Line Integrals

Vector Fields, Work, Circulation, and Flux

Path Independence, Potential Functions, and Conservative Fields

Green's Theorem in the Plane

Surface Area and Surface Integrals

Parametrized Surfaces

Stokes' Theorem

The Divergence Theorem and a Unified Theory

Appendices

Mathematical Induction

Proofs of Limit Theorems

Commonly Occurring Limits

Theory of the Real Numbers

Complex Numbers

The Distributive Law for Vector Cross Products

Determinants and Cramer's Rule

The Mixed Derivative Theorem and the Increment Theorem

The Area of a Parallelogram's Projection on a Plane

Courses

Calculus (Mathematics)

Next Edition(s)

Thomas' Calculus, 12/E
Thomas, Weir & Hass
©2010 | Pearson | Cloth; 1236 pp | Instock
ISBN-10: 0321587995 | ISBN-13: 9780321587992
Net price: $148.50 (What's this?)Brief Description |
This text is designed for a three-semester or four-quarter calculus course (math, engineering, and science majors).

Calculus hasn’t changed, but your students have. Today’s students have been raised on immediacy and the desire for relevance, and they come to calculus with varied mathematical backgrounds. Thomas’ Calculus, Twelfth Edition, helps your students successfully generalize and apply the key ideas of calculus through clear and precise explanations, clean design, thoughtfully chosen examples, and superior exercise sets. Thomas offers the right mix of basic, conceptual, and challenging exercises, along with meaningful applications. This significant revision features more examples, more mid-level exercises, more figures, improved conceptual flow, and the best in technology for learning and teaching.

The text is available with a robust MyMathLab^® course–an online homework, tutorial, and study solution designed for today’s students. In addition to interactive multimedia features like Java^™ applets and animations, thousands of MathXL^® exercises are available for students to get the practice they need.
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In this section:

Thomas' Calculus

Websites and Online Courses

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Websites and Online Courses

Companion Website for Thomas' Calculus, Media Upgrade (All versions), 11/E
Thomas, Weir, Hass & Giordano
©2008 | Pearson | On-line Supplement | Live
ISBN-10: 0321294289 | ISBN-13: 9780321294289
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Instructor Resources

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eLearning & Assessment

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Course & Discipline Resources

For Calculus
For the Mathematics Discipline

Even Answers (Download only) for Just-In-Time Algebra and Trigonometry for Students of Calculus, 3/E
Mueller & Brent
©2008 | Pearson | On-line Supplement | Live
ISBN-10: 0321342216 | ISBN-13: 9780321342218

Instructor's Maple Manual (Download only) for Thomas' Calculus, 11/E
Thomas, Weir, Hass & Giordano
©2008 | Pearson | On-line Supplement | Live
ISBN-10: 0321531604 | ISBN-13: 9780321531605

Instructor's Solutions Manual Part 1 for Thomas' Calculus, 11/E
Thomas, Weir, Hass & Giordano
©2008 | Pearson | Paper; 784 pp | Instock
ISBN-10: 0321226534 | ISBN-13: 9780321226532

Instructor's Solutions Manual Part 2 for Thomas' Calculus, 11/E
Thomas, Weir, Hass & Giordano
©2008 | Pearson | Paper; 368 pp | Instock
ISBN-10: 032122650X | ISBN-13: 9780321226501

Online Maple Manual for the Thomas' Calculus Series, 11/E
Thomas, Weir, Hass & Giordano
©2008 | Pearson | Electronic Supplement; 55 pp | Available
ISBN-10: 0321226488 | ISBN-13: 9780321226488

Online Mathematica Manual for the Thomas' Calculus Series, 11/E
Thomas, Weir, Hass & Giordano
©2008 | Pearson | Electronic Supplement; 128 pp | Available
ISBN-10: 0321226445 | ISBN-13: 9780321226440

Online TI Graphing Calculator Manual for the Thomas' Calculus Series, 11/E
Thomas, Weir, Hass & Giordano
©2008 | Pearson | Electronic Supplement; 0 pp | Available
ISBN-10: 0321267281 | ISBN-13: 9780321267283

PowerPoint Slides (Download only) for Thomas' Calculus, 11/E
Thomas, Weir, Hass & Giordano
©2008 | Pearson | On-line Supplement | Live
ISBN-10: 0321267311 | ISBN-13: 9780321267313

TestGen® Computerized Test Bank for Thomas' Calculus, 11/E
Thomas, Weir, Hass & Giordano
©2008 | Pearson | On-line Supplement; 0 pp | Live
ISBN-10: 0321226453 | ISBN-13: 9780321226457

Websites and online courses

MathXL -- Instant Access, 11/E
Thomas, Weir, Hass & Giordano
©2008 | Pearson | On-line Supplement | Live
ISBN-10: 0321267036 | ISBN-13: 9780321267030
URL: www.mathxl.com
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MathXL -- Instant Access -- for Thomas' Calculus Media Upgrade, 11/E
Thomas, Weir, Hass & Giordano
©2008 | Pearson | On-line Supplement | Live
ISBN-10: 0321506782 | ISBN-13: 9780321506788
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Webworks for University Calculus and Thomas' Calculus
Hass, Weir & Thomas
©2008 | Pearson | On-line Supplement | Estimated Availability : 02/01/2007
ISBN-10: 0321487877 | ISBN-13: 9780321487872
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Other student resources

Addison-Wesley's Calculus Review, Part 1, 2/E
Hass & Weir
©2008 | Pearson | Paper | Instock
ISBN-10: 0321398416 | ISBN-13: 9780321398413
Net price: $3.00 (What's this?)More Info

Addison-Wesley's Calculus Review, Part 2, 2/E
Hass & Weir
©2008 | Pearson | Paper | Instock
ISBN-10: 0321398408 | ISBN-13: 9780321398406
Net price: $3.00 (What's this?)More Info

Video Lectures on CD with Optional Captioning for Thomas' Calculus Media Upgrade, 11/E
AW Media
©2008 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321490096 | ISBN-13: 9780321490094
Net price: $25.00 (What's this?)More Info

For Calculus

Insight Into Calculus: Using Texas Instruments Graphics Calculators
Ward & Wilberscheid
©1997 | Pearson | Paper; 304 pp | Instock
ISBN-10: 0132553651 | ISBN-13: 9780132553650
Suggested retail price: $31.40Net price: $23.55 (What's this?)More Info

Just-In-Time Algebra and Trigonometry for Early Transcendentals Calculus, 3/E
Mueller & Brent
©2006 | Pearson | Paper; 224 pp | Instock
ISBN-10: 0321320506 | ISBN-13: 9780321320506
Suggested retail price: $26.67Net price: $20.00 (What's this?)More Info

Just-In-Time Algebra and Trigonometry for Students of Calculus, 3/E
Mueller & Brent
©2005 | Pearson | Paper; 224 pp | Instock
ISBN-10: 0321269438 | ISBN-13: 9780321269430
Suggested retail price: $26.67Net price: $16.80 (What's this?)More Info

Maple Approach Calculus, A, 2/E
Gresser
©2002 | Pearson | Paper; 340 pp | Instock
ISBN-10: 0130920142 | ISBN-13: 9780130920140
Suggested retail price: $33.33Net price: $25.00 (What's this?)More Info

For the Mathematics Discipline

Allied Health Study Card, 2/E
Forshier
©2006 | Pearson | Study Card | Instock
ISBN-10: 0321394747 | ISBN-13: 9780321394743
Net price: $3.00 (What's this?)More Info

Basic Math Review Card, 2/E
Addison-Wesley
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394763 | ISBN-13: 9780321394767
Net price: $3.00 (What's this?)More Info

Center for Excellence Sticker
Addison Wesley Higher Education Group
©2000 | Pearson | Unknown / Other | Instock
ISBN-10: 0201716275 | ISBN-13: 9780201716276
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Concept Videos: Algebra
Addison-Wesley
©2008 | Pearson | Multiple Media Package | Instock
ISBN-10: 0321517199 | ISBN-13: 9780321517197
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Concept Videos: Basic Math & Prealgebra
Addison-Wesley
©2008 | Pearson | Multiple Media Package | Instock
ISBN-10: 032151758X | ISBN-13: 9780321517586
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Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997 | Pearson | Paper; 195 pp | Instock
ISBN-10: 0136492037 | ISBN-13: 9780136492030
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Graphing Calculator Tutorial CD
Addison-Wesley
©2006 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321357744 | ISBN-13: 9780321357748
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Overcoming Math Anxiety, 2/E
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©2000 | Pearson | Paper | Instock
ISBN-10: 0321069188 | ISBN-13: 9780321069184
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Prealgebra Review Workbook
Wheel
©2006 | Pearson | Paper; 300 pp | Instock
ISBN-10: 0321473329 | ISBN-13: 9780321473325
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Review of Algebra, A
Howard
©2002 | Pearson | Paper; 224 pp | Instock
ISBN-10: 0201773473 | ISBN-13: 9780201773477
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Spanish Basic Math Study Card
Leonarte
©2007 | Pearson | Study Card | Instock
ISBN-10: 0321438582 | ISBN-13: 9780321438584
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TestGen All-in-One 2005 Package
Addison-Wesley
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ISBN-10: 0321334469 | ISBN-13: 9780321334466
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Thomas' Calculus Media Upgrade plus MyMathLab Student Access Kit, 11/E
Thomas, Weir, Hass & Giordano
©2008 | Pearson | Cloth Package; 1300 pp | Instock
ISBN-10: 0321511832 | ISBN-13: 9780321511836
Net price: $156.00 (What's this?)More Info
Thomas' Calculus, Media Upgrade, A La Carte Plus, 11/E
Weir, Hass & Giordano
©2009 | Pearson | Paper Package | Instock
ISBN-10: 0321589270 | ISBN-13: 9780321589279
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Thomas' Calculus, Media Upgrade, Books a la Carte Edition, 11/E
Weir, Hass & Giordano
©2009 | Pearson | Unbound (Saleable); 1200 pp | Instock
ISBN-10: 0321589289 | ISBN-13: 9780321589286
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Thomas' Calculus, Media Upgrade, Part One (Single Variable), 11/E
Thomas, Weir, Hass & Giordano
©2008 | Pearson | Paper; 864 pp | Instock
ISBN-10: 0321498755 | ISBN-13: 9780321498755
Net price: $76.00 (What's this?)Brief Description |
<>Calculus hasn’t changed, but your students have. Many of today’s students have seen calculus before at the high school level. However, professors report nationwide that students come into their calculus courses with weak backgrounds in algebra and trigonometry, two areas of knowledge vital to the mastery of calculus. Thomas’ Calculus, Media Upgrade, Eleventh Edition, Part One responds to the needs of today’s students by developing their conceptual understanding while maintaining a rigor appropriate to the calculus course.

Thomas’ Calculus, Media Upgrade, Eleventh Edition, Part One is now available with an enhanced MyMathLab^™ course–the ultimate homework, tutorial and study solution for today’s students. The enhanced MyMathLab course includes a rich and flexible set of course materials and features innovative Java™ Applets, Group Projects, and new MathXL^® exercises. This text is also available with WebAssign^® and WeBWorK^®.
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Thomas' Calculus, Media Upgrade, Part Two (Multivariable, Chap 11-16), 11/E
Thomas, Weir, Hass & Giordano
©2008 | Pearson | Paper | Instock
ISBN-10: 0321501039 | ISBN-13: 9780321501035
Net price: $76.00 (What's this?)Brief Description |
Calculus hasn’t changed, but your students have. Many of today’s students have seen calculus before at the high school level. However, professors report nationwide that students come into their calculus courses with weak backgrounds in algebra and trigonometry, two areas of knowledge vital to the mastery of calculus. Thomas’ Calculus, Media Upgrade, Eleventh Edition, Part Two responds to the needs of today’s students by developing their conceptual understanding while maintaining a rigor appropriate to the calculus course.

Thomas’ Calculus, Media Upgrade, Eleventh Edition, Part Two is now available with an enhanced MyMathLab^™ course—the ultimate homework, tutorial and study solution for today’s students. The enhanced MyMathLab course includes a rich and flexible set of course materials and features innovative Java™ Applets, Group Projects, and new MathXL^® exercises. This text is also available with WebAssign^® and WeBWorK^®.
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