9780547209975

Calculus Multivariable

by ;
  • ISBN13:

    9780547209975

  • ISBN10:

    0547209975

  • Edition: 9th
  • Format: Hardcover
  • Copyright: 1/14/2009
  • Publisher: Brooks Cole
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Summary

The Larson Calculus program has a long history of innovation in the calculus market. It has been widely praised by a generation of users for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.

Table of Contents

Front Matter
Vectors and the Geometry of Space
Vectors in the Plane
Space Coordinates and Vectors in Space
The Dot Product of Two Vectors
The Cross Product of Two Vectors in Space
Lines and Planes in Space
Section Project: Distances in Space
Surfaces in Space
Cylindrical and Spherical Coordinates
Review Exercises
P.S. Problem Solving
Vector-Valued Functions
Vector-Valued Functions
Section Project: Witch of Agnesi
Differentiation and Integration of Vector-Valued Functions
Velocity and Acceleration
Tangent Vectors and Normal Vectors
Arc Length and Curvature
Review Exercises
P.S. Problem Solving
Functions of Several Variables
Introduction to Functions of Several Variables
Limits and Continuity
Partial Derivatives Section Project: Moir?
Fringes
Differentials
Chain Rules for Functions of Several Variables
Directional Derivatives and Gradients
Tangent Planes and Normal Lines
Section Project: Wildflowers
Extrema of Functions of Two Variables
Applications of Extrema of Functions of Two Variables
Section Project: Building a Pipeline
Lagrange Multipliers
Review Exercises
P.S. Problem Solving
Multiple Integration
Iterated Integrals and Area in the Plane
Double Integrals and Volume
Change of Variables: Polar Coordinates
Center of Mass and Moments of Inertia
Section Project: Center of Pressure on a Sail
Surface Area
Section Project: Capillary Action
Triple Integrals and Applications
Triple Integrals in Cylindrical and Spherical Coordinates
Section Project: Wrinkled and Bumpy Spheres
Change of Variables: Jacobians
Review Exercises
P.S. Problem Solving
Vector Analysis
Vector Fields
Line Integrals
Conservative Vector Fields and Independence of Path
Green's Theorem
Section Project: Hyperbolic and Trigonometric Functions
Parametric Surfaces
Surface Integrals
Section Project: Hyperboloid of One Sheet
Divergence Theorem
Stokes's Theorem
Review Exercises
Section Project: The Planimeter
P.S. Problem Solving
Bonus Online Material
Additional Topics in Differential Equations (please visit URL to come)
Exact First-Order Equations
Second-Order Homogeneous Linear Equations
Second-Order Nonhomogeneous Linear Equations
Section Project: Parachute Jump
Series Solutions of Differential Equations
Review Exercises
P.S. Problem Solving
Book Appendices
Proofs of Selected Theorems
Integration Tables
Online Appendices
Precalculus Review (please visit URL to come)
Real Numbers and the Real Number Line
The Cartesian Plane
Review of Trigonometric Functions
Rotation and the General Second-Degree Equation (please visit URL to come)
Complex Numbers (please visit URL to come)
Business and Economic Applications (please visit URL to come)
Table of Contents provided by Publisher. All Rights Reserved.

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