It is because of calculations like this one that I tell my students that success in Mathematics requires a certain amount of *courage*. Few people are actually willing to gut their way through something like this.
Whenever I get a surface integral, I typically use the Divergence Theorem so that it becomes a volume integral instead, since volume integrals tend to be much easier to solve.
The idea for using 1 for the integration is to give the area, while if for example if m[kg] = Area[m^2] * Density [kg/m^2] and if set density=1 the resulted mass equals to the surface area by the numeric values, even unit is wrong. This method could never give m^2 unit as the output.
sal great video I just finished double integrals in calc III but i never seen anything evaluated as exotic as a torus. Can you possibly do a video on riemann hypothesis?
Didn't do math of this kind for a long time. But I know again why I liked it while others struggled. Simple rules (although I could do away with the tedious stuff) to get to a result. And with a little bit of imagination you often could get at least the magnitude of it right while only thinking about it in your head. I wonder if Dunkin Donuts do these calculations for the amount of icing they need ;-).
I imagine him saying "this circle" and pointing with his mouse pointer.... BUT WHERE IS THE POINTER???? i can understand it but it is hard to follow....
It is because of calculations like this one that I tell my students that success in Mathematics requires a certain amount of *courage*. Few people are actually willing to gut their way through something like this.
Whenever I get a surface integral, I typically use the Divergence Theorem so that it becomes a volume integral instead, since volume integrals tend to be much easier to solve.
@@Peter_1986 Good idea.
Without pointer hard to follow. The math is good.
The idea for using 1 for the integration is to give the area, while if for example if m[kg] = Area[m^2] * Density [kg/m^2] and if set density=1 the resulted mass equals to the surface area by the numeric values, even unit is wrong.
This method could never give m^2 unit as the output.
sal great video I just finished double integrals in calc III but i never seen anything evaluated as exotic as a torus. Can you possibly do a video on riemann hypothesis?
Didn't do math of this kind for a long time. But I know again why I liked it while others struggled. Simple rules (although I could do away with the tedious stuff) to get to a result. And with a little bit of imagination you often could get at least the magnitude of it right while only thinking about it in your head.
I wonder if Dunkin Donuts do these calculations for the amount of icing they need ;-).
Thanku sir u are great . very effective videos to learn within few minutes
Where is the pointer, sal? :(
Sir, what would we get if we graph the partial derivatives of r^ w.r.t "s" and " t"?
2:34 The past of derive should be "derove" lol
158000 views and only 8 comments (now 9)??
Probably most views are coming through the embedded video on the Khan Academy website rather than directly on youtube.
Sal, Is it possible to calculate the amount of oil spewing out of the Gulf of Mexico?
I imagine him saying "this circle" and pointing with his mouse pointer.... BUT WHERE IS THE POINTER????
i can understand it but it is hard to follow....
o first view and comment your great man !!!