Multivariable Calculus, 9th Edition, Metric Edition

Cover
Contents
Preface
Technology in the Ninth Edition
To the Student
Chapter 10: Parametric Equations and Polar Coordinates
	10.1 Curves Defined by Parametric Equations
	10.2 Calculus with Parametric Curves
	10.3 Polar Coordinates
	10.4 Calculus in Polar Coordinates
	10.5 Conic Sections
	10.6 Conic Sections in Polar Coordinates
	10 Review
	Problems Plus
Chapter 11: Sequences, Series, and Power Series
	11.1 Sequences
	11.2 Series
	11.3 The Integral Test and Estimates of Sums
	11.4 The Comparison Tests
	11.5 Alternating Series and Absolute Convergence
	11.6 The Ratio and Root Tests
	11.7 Strategy for Testing Series
	11.8 Power Series
	11.9 Representations of Functions as Power Series
	11.10 Taylor and Maclaurin Series
	11.11 Applications of Taylor Polynomials
	11 Review
	Problems Plus
Chapter 12: Vectors and the Geometry of Space
	12.1 Three-Dimensional Coordinate Systems
	12.2 Vectors
	12.3 The Dot Product
	12.4 The Cross Product
	12.5 Equations of Lines and Planes
	12.6 Cylinders and Quadric Surfaces
	12 Review
	Problems Plus
Chapter 13: Vector Functions
	13.1 Vector Functions and Space Curves
	13.2 Derivatives and Integrals of Vector Functions
	13.3 Arc Length and Curvature
	13.4 Motion in Space: Velocity and Acceleration
	13 Review
	Problems Plus
Chapter 14: Partial Derivatives
	14.1 Functions of Several Variables
	14.2 Limits and Continuity
	14.3 Partial Derivatives
	14.4 Tangent Planes and Linear Approximations
	14.5 The Chain Rule
	14.6 Directional Derivatives and the Gradient Vector
	14.7 Maximum and Minimum Values
	14.8 Lagrange Multipliers
	14 Review
	Problems Plus
Chapter 15: Multiple Integrals
	15.1 Double Integrals over Rectangles
	15.2 Double Integrals over General Regions
	15.3 Double Integrals in Polar Coordinates
	15.4 Applications of Double Integrals
	15.5 Surface Area
	15.6 Triple Integrals
	15.7 Triple Integrals in Cylindrical Coordinates
	15.8 Triple Integrals in Spherical Coordinates
	15.9 Change of Variables in Multiple Integrals
	15 Review
	Problems Plus
Chapter 16: Vector Calculus
	16.1 Vector Fields
	16.2 Line Integrals
	16.3 The Fundamental Theorem for Line Integrals
	16.4 Green's Theorem
	16.5 Curl and Divergence
	16.6 Parametric Surfaces and Their Areas
	16.7 Surface Integrals
	16.8 Stokes' Theorem
	16.9 The Divergence Theorem
	16.10 Summary
	16 Review
	Problems Plus
Appendixes
	F: Proofs of Theorems
	G: Answers to Odd-Numbered Exercises
Index