Calculus 3: Curl and Divergence (Video #31) | Math with Professor V

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Definition of curl and divergence of a vector field, how to remember their definitions, and what they represent in terms of fluid flow. Using the curl of a vector field to determine whether or not it is conservative. Alternate forms of Green’s Theorem using curl and divergence. #curl #divergence #greenstheorem #mathtvwithprofessorv #calculus3 #multivariablecalculus #calculusvideos #youtubemath #mathprofessor #vectorfields #fluidflow #conservativevectorfields #mathhelp #mathvideos #mathtutor

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Thank you for making Calculus playlists, I have a request, because I guess you are using James Stewart textbook, would you please follow each lesson in the calculus playlists with the best applications and exercises from the section exercise set in the textbook. Thank you so much for your efforts.

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At 15:55 should it be g(y, z) not g(x, z)? If not, why not? Also, why do the g(x, z), h(x, z) and m(x, y) get dropped?

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Could Green's theorem also be used for three variables ie F(xyz)? Or is it only two?

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