9780534410049

Multivariable Calculus Concepts and Contexts (with Tools for Enriching Calculus, Interactive Video Skillbuilder CD-ROM, and iLrn Homework/Personal Tutor)

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  • ISBN13:

    9780534410049

  • ISBN10:

    0534410049

  • Edition: 3rd
  • Format: Hardcover
  • Copyright: 11/4/2004
  • Publisher: Brooks Cole
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Summary

Stewart's MULTIVARIABLE CALCULUS: CONCEPTS AND CONTEXTS focuses on major concepts and supports them with precise definitions, patient explanations, and carefully graded problems. Margin notes clarify and expand on topics presented in the main body of the text. The Tools for Enriching Calculus CD-ROM contains visualizations, interactive modules, and homework hints that enrich your learning experience. iLrn Homework helps you identify where you need additional help, and vMentor gives you live, one-on-one online help from an experienced calculus tutor. In addition, the Interactive Video Skillbuilder CD-ROM takes you step-by-step through examples from the book.

Table of Contents

Infinite Sequences and Series
Sequences
Series
The Integral and Comparison Tests; Estimating Sums
Other Convergence Tests
Power Series
Representation of Functions as Power Series
Taylor and Maclaurin Series
The Binomial Series
Applications of Taylor Polynomials
Review
Focus on Problem Solving
Vectors and the Geometry of Space
Three Dimensional Coordinate Systems
Vectors
The Dot Product
The Cross Product
Equations of Lines and Planes
Functions and Surfaces
Cylindrical and Spherical Coordinates
Review
Focus on Problem Solving
Vector Functions
Vector Functions and Space Curves
Derivatives and Integrals of Vector Functions
Arc Length and Curvature
Motion in Space
Parametric Surfaces
Review
Focus on Problem Solving
Partial Derivatives
Functions of Several Variables
Limits and Continuity
Partial Derivatives
Tangent Planes and Linear Approximations
The Chain Rule
Directional Derivatives and the Gradient Vector
Maximum and Minimum Values
Lagrange Multipliers
Review
Focus on Problem Solving
Multiple Integrals
Double Integrals over Rectangles
Interated Integrals
Double Integrals over General Regions
Double Integrals in Polar Coordinates
Applications of Double Integrals
Surface Area
Triple Integrals
Triple Integrals in Cylindrical and Spherical Coordinates
Change of Variables in Multiple Integrals
Review
Focus on Problem Solving
Vector Calculus
Vector Fields
Line Integrals
The Fundamental Theorem for Line Integrals
Green's Theorem
Curl and Divergence
Surface Integrals
Stokes' Theorem
The Divergence Theorem
Summary
Review
Focus on Problem Solving
Intervals, Inequalities, And Absolute Values
Coordinate Geometry
Trigonometry
Precise Definitions Of Limits
A Few Proofs
Sigma Notation
Integration Of Rational Functions By Partial Fractions
Polar Coordinates
Complex Numbers
Answers To Odd-Numbered Exercises
Index.
Table of Contents provided by Publisher. All Rights Reserved.

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