Advanced Engineering Mathematics, 6th Edition

CHAPTER 9: Vector Calculus

© Dennis Hallinan/Alamy Images

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

CHAPTER CONTENTS

• 9.1 Vector Functions

• 9.2 Motion on a Curve

• 9.3 Curvature and Components of Acceleration

• 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 the 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 ...