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Rogawski/Adams: Calculus 3e Multivariable Table of Contents
Chapter 11: Infinite Series11.1 Sequences 11.2 Summing an Infinite Series11.3 Convergence of Series with Positive Terms11.4 Absolute and Conditional Convergence11.5 The Ratio and Root Tests11.6 Power Series11.7 Taylor SeriesChapter Review Exercises
Chapter 12: Parametric Equations, Polar Coordinates, and Conic Sections 12.1 Parametric Equations12.2 Arc Length and Speed12.3 Polar Coordinates12.4 Area and Arc Length in Polar Coordinates12.5 Conic SectionsChapter Review Exercises
Chapter 13: Vector Geometry13.1 Vectors in the Plane13.2 Vectors in Three Dimensions13.3 Dot Product and the Angle Between Two Vectors13.4 The Cross Product13.5 Planes in Three-Space13.6 A Survey of Quadric Surfaces13.7 Cylindrical and Spherical CoordinatesChapter Review Exercises
Chapter 14: Calculus of Vector-Valued Functions 14.1 Vector-Valued Functions14.2 Calculus of Vector-Valued Functions14.3 Arc Length and Speed14.4 Curvature14.5 Motion in Three-Space14.6 Planetary Motion According to Kepler and NewtonChapter Review Exercises
Chapter 15: Differentiation in Several Variables15.1 Functions of Two or More Variables15.2 Limits and Continuity in Several Variables15.3 Partial Derivatives15.4 Differentiability and Tangent Planes15.5 The Gradient and Directional Derivatives15.6 The Chain Rule15.7 Optimization in Several Variables15.8 Lagrange Multipliers: Optimizing with a ConstraintChapter Review Exercises
Chapter 16: Multiple Integration16.1 Integration in Variables16.2 Double Integrals over More General Regions16.3 Triple Integrals16.4 Integration in Polar, Cylindrical, and Spherical Coordinates16.5 Applications of Multiplying Integrals16.6 Change of VariablesChapter Review Exercises
Chapter 17: Line and Surface Integrals17.1 Vector Fields17.2 Line Integrals17.3 Conservative Vector Fields17.4 Parametrized Surfaces and Surface Integrals17.5 Surface Integrals of Vector FieldsChapter Review Exercises
Chapter 18: Fundamental Theorems of Vector Analysis18.1 Green’s Theorem18.2 Stokes’ Theorem18.3 Divergence Theorem
AppendicesA. The Language of MathematicsB. Properties of Real NumbersC. Mathematical Induction and the Binomial TheoremD. Additional Proofs of Theorems
Answers to Odd-Numbered ExercisesReferencesIndex
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