Visualizing Vector Fields and Line Integrals

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Interactive Figures created for Thomas' Calculus 14e. Figures created by Marc Renault and Steve Phelps.
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Very well constructed and informative.

johnc.
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I have been looking for a naturalistic description of the path integral over the vector field for so long, which turned out to be "How much the vector field aids the motion along the curve." I cannot stress enough, how much this video helped.


I used to judge videos like this one by the number of views but this particular video proves that it is totally not the case.


Thank you so much, I am astonished indeed!

sarvarkamilov
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This is probably the best representation i have seen! everything was explained so well. I saw many videos with a higher view count but left being more confused. This cleared up alot. And hats off to you! :)

morganyu