@ 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
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?
This is one of the best maths channels on CZcams, it's up there with blackpenredpen and Dr peyam! Congrats!
Form #1 is how most people usually think of Green's theorem, but I had never seen form #2 before. Informative stuff.
@ 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
PS Really like your channel. Love the range and depth of topics.
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?
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?
BTW really great stuff!!!
Pretty sure at 5:20 you wrote Q_y - P_x instead of Q_x - p_y
Like!