Thanks!

I created worksheets from them and posted them to
http://sage.math.washington.edu/home/wdj/teaching/worksheets/beezer/


On Sun, Feb 15, 2009 at 7:04 PM, Rob Beezer <goo...@beezer.cotse.net> wrote:
>
> I took some time the past couple of days to learn the interact setup,
> and built a couple of demos for Monday's session of multivariable
> calculus.  They are posted in the wiki at the end of the section at
>
> http://wiki.sagemath.org/interact/calculus
>
> The 2D example plots an ellipse and allows display of vectors such as
> velocity, acceleration, unit tangent, unit normal, tangential and
> normal components of acceleration.  Scalar speed and curvature are
> also displayed.  Editing the definition of the position function
> should allow everything to work correctly, though you need to mess
> with figsize to get an aspect ratio of 1 (so orthogonal vectors really
> look orthogonal).  Also re-discovered bug #4465 where zero-length
> arrows don't fail gracefully.
>
> The 3D example is similar but includes the binormal vector and uses an
> exponentially-growing helix.  I setup computing torsion but it seems
> to take an inordinate amount of time, so it is commented-out.  I'd
> imagine I could be more efficient about how functions are defined, or
> the methods I used.  For students, I tried to stick to the definitions
> rather than less-intuitive shortcuts.
>
> This was all very easy to learn and make happen.  Kudos to the folks
> who built the interact framework, the 2D and 3D plotting, and the
> differentiation and vector routines.  It'll make Monday's class that
> much nicer.
> >
>

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