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Thomas' Calculus, Early Transcendentals, Media Upgrade, 11/E
George B. Thomas, Jr.Massachusetts Institute of Technology
Maurice D. WeirNaval Postgraduate School
Joel HassUniversity of California, Davis
Frank R. GiordanoNaval Postgraduate School

ISBN-10: 0321495756
ISBN-13:  9780321495754

Publisher:  Pearson
Copyright:  2008
Format:  Cloth; 1212 pp
Published:  01/04/2007
Status: Instock


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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 Early Transcendentals, 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 Early Transcendentals, 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 and reinforcing their mathematical intuition.
  • Exceptional Art Captions and Multi-figured Images provide insight for students and support conceptual reasoning.
  • Strong Multivariable Coverage helps students progress from single variable to multivariable calculus.
  • Flexible Table of Contents that divides complex topics into smaller sections and provides instructors with flexibility in creating course outlines.


New To This Edition

  • Enhanced MyMathLabfor 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 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.)

 

1. Functions

Functions and Their Graphs

Identifying Functions; Mathematical Models

Combining Functions; Shifting and Scaling Graphs

Graphing with Calculators and Computers

Exponential Functions

Inverse Functions and Logarithms

 

2. Limits and Continuity

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 for Polynomials, Exponentials, Products and Quotients

The Derivative as a Rate of Change

Derivatives of Trigonometric Functions

The Chain Rule and Parametric Equations

Implicit Differentiation

Derivatives of Inverse Functions and Logarithms

Inverse Trigonometric Functions

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. Integrals and Transcendental Functions

The Logarithm Defined as an Integral

Exponential Growth and Decay

Relative Rates of Growth

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


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  • Thomas' Calculus Early Transcendentals, 12/E
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    ©2010  |  Pearson  |  Cloth; 1160 pp  |  Instock
    ISBN-10: 0321588762  |  ISBN-13: 9780321588760
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MyMathLab with eBook -- Instant Access, 11/E
Weir, Hass & Giordano
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Answer Book for Thomas' Calculus Early Transcendentals, 11/E
Thomas, Weir, Hass & Giordano
©2008  |  Pearson  |  Paper; 250 pp  |  Instock
ISBN-10: 0321226380  |  ISBN-13: 9780321226389

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Instructor's Maple Manual (Download only) for Thomas' Calculus, 11/E
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Instructor's Solutions Manual Part 1 for Thomas' Calculus Early Transcendentals, 11/E
Thomas, Weir, Hass & Giordano
©2008  |  Pearson  |  Paper; 800 pp  |  Instock
ISBN-10: 0321226348  |  ISBN-13: 9780321226341

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

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Online Maple Manual for the Thomas' Calculus Series, 11/E
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Online Mathematica Manual for the Thomas' Calculus Series, 11/E
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Online TI Graphing Calculator Manual for the Thomas' Calculus Series, 11/E
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PowerPoint Slides (Download only) for Thomas' Calculus Early Transcendentals, 11/E
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TestGen® Computerized Test Bank for Thomas' Calculus Early Transcendentals, 11/E
Thomas, Weir, Hass & Giordano
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Exam Copy for Thomas' Calculus Early Transcendentals Media Upgrade, 11/E
Thomas, Weir, Hass & Giordano
©2008  |  Pearson  |  Cloth; 1380 pp  |  Instock
ISBN-10: 0321507460  |  ISBN-13: 9780321507464
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Companion Website for Thomas' Calculus, Media Upgrade (All versions), 11/E
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MathXL -- Instant Access, 11/E
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MyMathLab with eBook -- Instant Access, 11/E
Weir, Hass & Giordano
©2006  |  On-line Supplement; 1380 pp  |  Access Code Required  |  Version 4.5  |  Live
ISBN-10: 032126701X  |  ISBN-13: 9780321267016
 |  Students, buy access Take a Tour  |  More Info

MyMathLabPlus for Thomas' Calculus, Early Transcendentals, Media Upgrade, 11/E
Weir, Hass & Giordano
©2008  |  Pearson  |  Website; 1212 pp  |  Live
ISBN-10: 0321691792  |  ISBN-13: 9780321691798
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Webworks for University Calculus and Thomas' Calculus
Hass, Weir & Thomas
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Companion Website for Thomas' Calculus, Media Upgrade (All versions), 11/E
Thomas, Weir, Hass & Giordano
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ISBN-10: 0321294289  |  ISBN-13: 9780321294289
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MyMathLab with eBook -- Instant Access, 11/E
Weir, Hass & Giordano
©2006  |  On-line Supplement; 1380 pp  |  Access Code Required  |  Version 4.5  |  Live
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Student Solutions Manual Part 1, 11/E
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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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 |  Students, buy access Take a Tour  |  More Info

MyMathLabPlus for Thomas' Calculus, Early Transcendentals, Media Upgrade, 11/E
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©2008  |  Pearson  |  Website; 1212 pp  |  Live
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