9.1 Vector Functions

9.2 Motion on a Curve

9.3 Curvature

9.4 Partial Derivatives

9.5 Directional Derivative

9.6 Tangent Planes and Normal Lines

9.7 Curl and Divergence

9.8 Line Integrals

9.9 Independence of Path

9.10 Double Integrals

9.11 Double Integrals in Polar Coordinates

9.12 Green’s Theorem

9.13 Surface Integrals

9.14 Stokes’ Theorem

9.15 Triple Integrals

9.16 Divergence Theorem

9.17 Change of Variables in Multiple Integrals

Chapter 9 in Review

In Chapter 7 we studied the properties of vectors in 2- and 3-space. In this chapter we combine vector concepts with those from differential and integral calculus.