Addison-Wesley / Prentice Hall

Mathematics



Thomas' Calculus, Early Transcendentals, Media Upgrade, 11/E
George B. Thomas, Jr., Massachusetts Institute of Technology
Maurice D. Weir, Naval Postgraduate School
Joel Hass, University of California, Davis
Frank R. Giordano, Naval Postgraduate School

ISBN-10: 0321495756
ISBN-13: 9780321495754

Publisher: Addison-Wesley
Copyright: 2008
Format: Cloth; 1212 pp
Status: Temporarily out of stock

Suggested retail price: $170.67
This item is temporarily out of stock and is unavailable for purchase.



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®.



  • 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.

  • 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.

(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

View a Sample Chapter PDF:

 

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  • 0321498747Thomas' Calculus, Early Transcendentals, Media Upgrade, Part One, 11/E
    Thomas, Weir, Hass & Giordano
    © 2008 | Addison-Wesley | Paper; 864 pages | Instock
    ISBN-10: 0321498747 | ISBN-13: 9780321498748
    Brief Description | Buy from myPearsonStore
  • 0321501039Thomas' Calculus, Media Upgrade, Part Two (Multivariable, Chap 11-16), 11/E
    Thomas, Weir, Hass & Giordano
    © 2008 | Addison-Wesley | Paper | Instock
    ISBN-10: 0321501039 | ISBN-13: 9780321501035
    Brief Description | Buy from myPearsonStore
  • 0321511816Thomas' Early Transcendentals Media Upgrade plus MyMathLab Student Access Kit, 11/E
    Thomas, Weir, Hass & Giordano
    © 2008 | Addison-Wesley | Paper Package; 1300 pages | Estimated Availability: 01/29/2009
    ISBN-10: 0321511816 | ISBN-13: 9780321511812

This title is a member of the Thomas Series, which also contains the titles below . You can also visit the Thomas Series page.

  • 0321495756Thomas' Calculus, Early Transcendentals, Media Upgrade, 11/E
    Thomas, Weir, Hass & Giordano
    © 2008 | Addison-Wesley | Cloth; 1212 pages | Estimated Availability: 02/02/2009
    ISBN-10: 0321495756 | ISBN-13: 9780321495754
    Brief Description

  • 0321498747Thomas' Calculus, Early Transcendentals, Media Upgrade, Part One, 11/E
    Thomas, Weir, Hass & Giordano
    © 2008 | Addison-Wesley | Paper; 864 pages | Instock
    ISBN-10: 0321498747 | ISBN-13: 9780321498748
    Brief Description | Buy from myPearsonStore

  • 032148987XThomas' Calculus, Media Upgrade, 11/E
    Thomas, Weir, Hass & Giordano
    © 2008 | Addison-Wesley | Cloth; 1228 pages | Instock
    ISBN-10: 032148987X | ISBN-13: 9780321489876
    Brief Description | Buy from myPearsonStore

  • 0321498755Thomas' Calculus, Media Upgrade, Part One (Single Variable), 11/E
    Thomas, Weir, Hass & Giordano
    © 2008 | Addison-Wesley | Paper; 864 pages | Instock
    ISBN-10: 0321498755 | ISBN-13: 9780321498755
    Brief Description | Buy from myPearsonStore

  • 0321501039Thomas' Calculus, Media Upgrade, Part Two (Multivariable, Chap 11-16), 11/E
    Thomas, Weir, Hass & Giordano
    © 2008 | Addison-Wesley | Paper | Instock
    ISBN-10: 0321501039 | ISBN-13: 9780321501035
    Brief Description | Buy from myPearsonStore

  • 0321350146University Calculus
    Hass, Weir & Thomas
    © 2007 | Addison-Wesley | Cloth; 930 pages | Instock
    ISBN-10: 0321350146 | ISBN-13: 9780321350145
    Brief Description | Buy from myPearsonStore

  • 0321471962University Calculus: Alternate Edition
    Hass, Weir & Thomas
    © 2008 | Addison-Wesley | Cloth; 1056 pages | Instock
    ISBN-10: 0321471962 | ISBN-13: 9780321471963
    Brief Description | Buy from myPearsonStore

  • 0321533488University Calculus: Elements with Early Transcendentals
    Hass, Weir & Thomas
    © 2009 | Addison-Wesley | Cloth; 791 pages | Instock
    ISBN-10: 0321533488 | ISBN-13: 9780321533487
    Brief Description | Buy from myPearsonStore

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