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Chapter 11: Infinite Series11.1 Sequences11.2 Summing an Infinite Series11.3 Convergence of Series with Positive Terms11.4 Absolute and Conditional Convergence11.5 The Ratio and Root Tests and Strategies for Choosing Tests11.6 Power Series11.7 Taylor Polynomials11.8 Taylor SeriesChapter Review Exercises, Chapter 12: Parametric Equations, Polar Coordinates, and Conic Sections12.1 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 Three-Dimensional Space: Surfaces, Vectors, and Curves13.3 Dot Product and the Angle Between Two Vectors13.4 The Cross Product13.5 Planes in 3-Space13.6 A Survey of Quadric Surfaces13.7 Cylindrical and Spherical CoordinatesChapter Review Exercises, Chapter 14: Calculus of Vector-Valued Functions14.1 Vector-Valued Functions14.2 Calculus of Vector-Valued Functions14.3 Arc Length and Speed14.4 Curvature14.5 Motion in 3-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, Tangent Planes, and Linear Approximation15.5 The Gradient and Directional Derivatives15.6 Multivariable Calculus Chain Rules15.7 Optimization in Several Variables15.8 Lagrange Multipliers: Optimizing with a ConstraintChapter Review Exercises, Chapter 16: Multiple Integration16.1 Integration in Two Variables16.2 Double Integrals over More General Regions16.3 Triple Integrals16.4 Integration in Polar, Cylindrical, and Spherical Coordinates16.5 Applications of Multiple 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 Greens Theorem18.2 Stokes Theorem18.3 Divergence TheoremChapter Review Exercises, Appendices A. 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