Multivariable Calculus | Vector forms of Green's Theorem.

We present two vector forms of Green's Theorem.
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[@TheMauror22]

This is one of the best maths channels on KZbin, it's up there with blackpenredpen and Dr peyam! Congrats!

[@technoguyx]

Form #1 is how most people usually think of Green's theorem, but I had never seen form #2 before. Informative stuff.

[@Hiltok]

@ 9:40 small blip in answer for curl(F). You said, "... z minus x-squared" but wrote z - y^2 instead of z - x^2. @ 16:20 Explaining why (del X F) dot k is just (Qx - Py) you said "... k dot k is obviously zero." Should have said "... k dot k is obviously just one." (Qx - Py) dot = (Qx - Py) @ 19:25 T dot n = x'y' / ||r|| - x'y' / ||r|| = 0 Should be x'y' / ||r||^2 - x'y' / ||r||^2 = 0

[@Hiltok]

PS Really like your channel. Love the range and depth of topics.

[@vtynianski4359]

Hey Michael, what "bigger" theorem are you talking about at 1:00 that Green's theorem is a part of? Is it already covered on your channel in later videos?

[@junxionglu4079]

Form 1 is to calculate the total work done alone the curve and Form 2 is to calculate the total flux through the curve Am I right?

[@junxionglu4079]

BTW really great stuff!!!

[@levprotter1231]

Pretty sure at 5:20 you wrote Q_y - P_x instead of Q_x - p_y

[@giovannimariotte4993]

Like!