Calculus With Analytic Geometry

by Unknown
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  • Edition: 7th
  • Format: Paperback
  • Copyright: 7/13/2001
  • Publisher: Brooks Cole
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Table of Contents

Note: Each chapter concludes with Review Exercises and P.S. Problem Solving
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
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
Functions of Several Variables
Introduction to Functions of Several Variables
Limits and Continuity
Partial Derivatives Section Project: Moireacute; Fringes
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
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
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
Stoke's Theorem Section Project: The Planimeter
Additional Topics in Differential Equations
Proofs of Selected Theorems
Integration Tables
Precalculus Review
Rotation and the General Second-Degree Equation
Complex Numbers
Business and Economic Applications
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