Chapter 13: Vector Calculus.

13.5 Curl and Divergence.

0:00 Curl and Divergence

0:18 The Curl as a Cross-product vector and its definition.

1:22 Two Theorems about Curl F as a Conservative Vector Field.

2:40 The meaning of the Curl F.

3:44 Example: on Finding the Curl F.

5:16 Example: Show that the given Vector Field is NOT Conservative.

6:00 Example: Show that the given Vector Field IS Conservative.

8:05 Example: Find a function f such that " Del (f)= F" for a Conservative Vector Field. for the Previous Example.

13:29 Divergence as a Scalar " Dot Product" and its definition.

14:36 Example of finding the Divergence.

15:15 The meaning of the Divergence F.

16:26 Vector Forms of Green's Theorem.