Lecture notes were made while watching the recorded lectures assigned to watch. These notes include theory (theorems) and worked out examples from the lecturer.
These specific notes cover Rotation and divergence.
3. 5. Rotation and
divergence
Of = < f)I , fy ,
fz >
F- =
< P, Q ,
R >
Then
g. f-
= < Han , May 2/22-7 ,
°
L P
,
Q , R>
✓
Rt → div É
put
Qyi
=
Dot
Product of E
Divergence
- - - -
-
-
- - -
- - -
-
-
-
g.✗ F- i
j K curl F-
=
=
W
Max May %ᵗ
cross
Rotation of F-
B Q R
product
for E in < P, Q > a vector field in /R2 :
F- familiar !
Qy
)
div =
Pay seems
curl E ( pygpi
=
q ,, _
◦
vector field E conservative → it and ONLY if
Curt E 0
Qx=Pih)
=
↓
can apply
Fundamental
Theorem
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