Comments on Lesson VC.06
- The concept of measuring the flow out of a singularity by drawing
(small) circles of radius r around it and taking the limit as r goes
to 0 needs explanation. Students are confused as to what is going on
in practice when confronted with this problem.
- Students are frequently curious how about the situation where
divField is always positive. They know intellectually that this is
supposed to mean that there is always a net flow out of any curve, but
this conflicts with their practical expectations. It seems that if
water is flowing out of one curve, you ought to be able to draw
another curve that absorbs that flow and gets net flow towards the
inside.
Try having them do some picture experiments and explain how this
works.
- See also the hints section.
- I consider the instructions that you do not have to explain you
"agree" answer in G.3 to be a bug.