12.7 Curl Update

[nelong]

• Add that the spinner is at the origin for first step of the preview activity part a part i

• Highlight not in part vi of part a

• Preview activity is too long. Chop into base version (maybe two cases and extension)

• Need to state vf for part d (don’t leave it up to user to see in the interact)

• Move technical description to a later subsection, add short description then an example in 3D

• Should we move discussion of 3D rotation later? Maybe just describe structure (that most can be done with a 2D projection and the 3D version is explained in subsection

• The interacts are not all active immediately. How should we be coding these? Only the last one is active on the page. Can we make a button to say “Work on this one now”?

• Add subsection at end with content dependencies and notes to instructor

• Needs an example!
  Where do we really value rigor?

• Subsection 12.7.1

Lots of notation in the total circulation formula
Can we tweak notation to make this easier to read or wave hands with a figure
Can we use approximations rather than connecting as rigorously back to Calc I ides?
Gives the key setup for Green’s Theorem. Need to better connect.

• The spinner GIF is moving too much. Redo this as Sage Interact

• Preview: unclear and too long

Lead off with a concrete example zoomed in at points of interest.
Caution against streamline interpretation here.
Start with a simple field like <0,x>, stand with arms outstretched and think about how you would be rotated.

• Are the bullets at the start of this section accurate? How should a reader interpret these?