Lec 17: Double integrals in polar coords; applications | MIT 18.02 Multivariable Calculus, Fall 2007

Lecture 17: Double integrals in polar coordinates; applications.
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[@oolongtea0922]

Professor just had a haircut

[@ramtaification]

Thank you MIT. I scored 88% for both calculus and algebra in my August test

[@anarchris]

wow actually explaining where rdrd(theta) comes from.........

[@dorood]

I would personally go up and shake this man's hand after every lecture... he's that damn good

[@Sergio965]

@aVerKePedo So the thing that's happening here is that he's not finding the area of a circle, he's finding the volume of a region above a surface that 'looks' like a circle. What he plots there is the base of the surface, which is where you get your bounds of integration from. If he was finding the area of a circle, the double integral of r*dr*dø with those bounds would indeed be correct and would yield pi/4 because the formula for the circle would be sqrt(x^2+y^2) = r = 1.

[@MemoryDealer]

@OriakoPhi I agree, it's really just an issue of ego, which everyone seems to gain too much of when going to college. Once they lose their ego, they might actually learn something.

[@Abhishek-hy8xe]

I was waiting for the question that the student asked.

[@jainv0905]

Can any1 say how should i download video????

[@An1MuS]

Thanks a lot for this video, and by the way, for all the others as well. 5 Stars

[@jpmorgan187]

way to go MIT for the high quality videos!

[@samiulbasirtasin40]

Lecture 1: Dot Product

[@LAnonHubbard]

I love the polar coordinates explanation and how the non-rectangular region can be treated as rectangular in the limiting case.

[@adarshkumbhar4848]

Quality matters!! ❤️

[@sword7163]

really enjoyed the lecture ! It is so relieving to know and understand the derivation of a formula you've been given without proof!

[@lawrencenyathi4843]

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i love this guy so much

[@sglover91]

I wish you were my actual teacher, but I guess this will do! Great vids, great teachers.

[@HopeInFreedom]

Wow, brilliant explanation of Moment of Inertia, far better than I got in physics.

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[@Dineshkumar-xv4xz]

Finally it is making sense that learning is made simple by method it is taught to us