Example of calculating a surface integral part 1 | Multivariable Calculus | Khan Academy

Example of calculating a surface integral part 1

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Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions.

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[norwayte]

Without pointer hard to follow. The math is good.

[dannyboy]

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?

[monte]

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.

[superdau]

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 ;-).

[jarikosonen]

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.

[sumapathiraj]

Sir, what would we get if we graph the partial derivatives of r^ w.r.t "s" and " t"?

[harry_page]

2:34 The past of derive should be "derove" lol

[sid]

Thanku sir u are great . very effective videos to learn within few minutes

[pongman]

Sal, Is it possible to calculate the amount of oil spewing out of the Gulf of Mexico?

[GabrielConstantinides]

158000 views and only 8 comments (now 9)??

[HAWXLEADER]

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....

[darionpersad]

o first view and comment your great man !!!