Chapter 13: Vector Calculus.
Chapter 13: Vector Calculus.
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.