More vectorial operators	Feb. 7, 2007

+ Applications of divergence and curl in EM field
Ampere's Law [equation] [equation] [equation]
Faraday's Law [equation] [equation] [equation]
Gauss's Law [equation] [equation] [equation]
[equation] [equation] [equation]
where [equation] -- volume charge density ([equation] ), [equation] -- current density ([equation] ) and magnetic flux [equation]

+ Scalar Laplacian of a scalar f [equation]
Rectangular coordinates [equation]
Example 1.19: Scalar and vector Laplacian

+ Vector Laplacian of a vector [equation] : [equation]
Rectangular coordinates [equation]

+ Vector identities:
[equation] , i.e. [equation] is solenoidal [equation] [equation]
[equation] , i.e. [equation] is irrotational [equation] [equation]
General vector [equation] _________________________________ 

HW #6 	Due 2/13/06
1. Problem 2-17 (page 69).
2. Find the divergence and curl of a) [equation] , b) [equation] . Also verify answers of a) and b) with Maple.
3. P.2-24 b) only (page 69).
Extra-credit: do problem 3. with Maple. (look at http://scylla.ceas.uwm.edu/361/maple.html)

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Last Modified: February 03, 2007
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