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Summary Contents of Multivariable Calculus 9th edition
CHAPTER 11 Vectors and the Geometry of Space
- 11.1 Vectors in the Plane
- 11.2 Space Coordinates and Vectors in Space
- 11.3 The Dot Product of Two Vectors
- 11.4 The Cross Product of Two Vectors in Space
- 11.5 Lines and Planes in Space
- SECTION PROJECT: Distances in Space
- 11.6 Surfaces in Space
- 11.7 Cylindrical and Spherical Coordinates
- Review Exercises
- P.S. Problem Solving
CHAPTER 12 Vector-Valued Functions
- 12.1 Vector-Valued Functions
- SECTION PROJECT: Witch of Agnesi
- 12.2 Differentiation and Integration of Vector-Valued Functions
- 12.3 Velocity and Acceleration
- 12.4 Tangent Vectors and Normal Vectors
- 12.5 Arc Length and Curvature
- Review Exercises
- P.S. Problem Solving
CHAPTER 13 Functions of Several Variables
- 13.1 Introduction to Functions of Several Variables
- 13.2 Limits and Continuity
- 13.3 Partial Derivatives
- SECTION PROJECT: Moiré Fringes
- 13.4 Differentials
- 13.5 Chain Rules for Functions of Several Variables
- 13.6 Directional Derivatives and Gradients
- 13.7 Tangent Planes and Normal Lines
- SECTION PROJECT: Wildflowers
- 13.8 Extrema of Functions of Two Variables
- 13.9 Applications of Extrema of Functions of Two Variables
- SECTION PROJECT: Building a Pipeline
- 13.10 Lagrange Multipliers
- Review Exercises
- P.S. Problem Solving
- 14.1 Iterated Integrals and Area in the Plane
- 14.2 Double Integrals and Volume
- 14.3 Change of Variables: Polar Coordinates
- 14.4 Center of Mass and Moments of Inertia
- SECTION PROJECT: Center of Pressure on a Sail
- 14.5 Surface Area
- SECTION PROJECT: Capillary Action
- 14.6 Triple Integrals and Applications
- 14.7 Triple Integrals in Cylindrical and Spherical Coordinates
- SECTION PROJECT: Wrinkled and Bumpy Spheres
- 14.8 Change of Variables: Jacobians
- Review Exercises
- P.S. Problem Solving
CHAPTE15 : Vector Analysis
- 15.1 Vector Fields
- 15.2 Line Integrals
- 15.3 Conservative Vector Fields and Independence of Path
- 15.4 Green's Theorem
- SECTION PROJECT: Hyperbolic and Trigonometric Functions
- 15.5 Parametric Surfaces
- 15.6 Surface Integrals
- SECTION PROJECT: Hyperboloid of One Sheet
- 15.7 Divergence Theorem
- 15.8 Stokes's Theorem
- Review Exercises
- SECTION PROJECT: The Planimeter
- P.S. Problem Solving
CHAPTER 16 : Additional Topics in Differential Equations
- 16.1 Exact First-Order Equations
- 16.2 Second-Order Homogeneous Linear Equations
- 16.3 Second-Order Nonhomogeneous Linear Equations
- SECTION PROJECT: Parachute Jump
- 16.4 Series Solutions of Differential Equations
- Review Exercises
- P.S. Problem Solving
