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| 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 | |
| Differentials | |
| 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 | |
| Appendices | |
| 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 | |
| Table of Contents provided by Publisher. All Rights Reserved. |
