15.3: Double Integrals in Polar Coordinates

Objectives:
4. Express a double integral as an iterated integral in polar coordinates.
5. Find area and volume using an iterated integral in polar coordinates.

[moisesdevs]

Hands down one of the best channels on here. I do not much about who you are but thank you so much.

[andrewmaksimovich]

I really appeciate teachers with great handwriting. It may be a small thing but really great for clarity as a student, unlike some other professors

[vihaankedia]

I quite literally take a second every video to just admire the pattern of your ring.

[stormixgaming]

12:36 it should be 1/4 r_k^2 not r_k* right? for both expanded brackets and I'm guessing that the r_k*Deltar_k^2 is also a mistake since it was -r_k*Deltar_k in the second term

[oxord]

23:09, when you found the bound for X I don’t get how you found these values for X, like did you take the bounds of x from the 3D or did you take it on the circle on the XY plane?

[geraldcalero]

2:04 you say practicing converting on your own which section according to Stewart help on practicing on them?

[Adornique]

how is r 0-1 in example 2 shouldnt it be -1 to 1

[AmbroseMunyao-jc]

You did a great job but you just did not show you got the values for the x limits

[benjaminandrew]

14:02 When you say don't forget you need an additional r, does that mean the r becomes 2r or r^2?

[aditigali]

Is there any place I could go to memorize reoccurring graphs and their functions in multivariable?

[zacharyquinn]

at about 24:00 why does r go between 0 and 1, and not -1 and 1? I must be confused, I thought this was the radius bounds of the circle.

[sebastiaogabrielsoaresdeol]

to find the da I arrived at da=R.dr.do + dr.dr.do/2, for me it makes sense to be only the R.dr.do because the other dr is squared so it will be insignificant in the sum, but I couldn't demonstrate this mathematically, do you have any idea how to do it?

[zombieprincess]

is the link to the schoology open for general public or just students in the class?

[Cruzylife]

can you link to the schoology for polar graphing, please and thank you

[adamkhan]

When do you know if you can split up the equation or not?

[squirrel]

fk this class imma just hope linear algebra is easier

[listlessviewer]

This is where my brain fails me. It’s been a good run 🫡