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.
Пікірлер: 32
@andrewmaksimovich2432 Жыл бұрын
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
@moisesdevs4 жыл бұрын
Hands down one of the best channels on here. I do not much about who you are but thank you so much.
@vihaankedia36062 жыл бұрын
I quite literally take a second every video to just admire the pattern of your ring.
@stormixgaming83892 жыл бұрын
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
@oxord11112 жыл бұрын
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?
@aditigali92932 жыл бұрын
Is there any place I could go to memorize reoccurring graphs and their functions in multivariable?
@aakaashks35203 жыл бұрын
Who is ur maths inspiration?
@alexandraniedden53373 жыл бұрын
We use Stewart's 9th edition Multivariable Calculus.
@benjaminandrew79402 жыл бұрын
14:02 When you say don't forget you need an additional r, does that mean the r becomes 2r or r^2?
@zombieprincess124 жыл бұрын
is the link to the schoology open for general public or just students in the class?
@alexandraniedden53374 жыл бұрын
No, sorry! It's not a public page. Good luck!
@geraldcalero41793 жыл бұрын
2:04 you say practicing converting on your own which section according to Stewart help on practicing on them?
@alexandraniedden53373 жыл бұрын
If you want some extra practice with polar coordinates, check out section 10.3 in the Stewart book. There is practice converting, plotting, and graphing.
@geraldcalero41793 жыл бұрын
@@alexandraniedden5337 thank you so much your such great help I appreciate it.
@zacharyquinn21443 жыл бұрын
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.
@alexandraniedden53373 жыл бұрын
You are correct in that r represents the radius bounds of the circle. Remember that in polar form, a a negative radius sends the point in the opposite direction. For example, the point with r = -1 and theta = 0 is really the point x = -1, y = 0. When writing the bounds for r, we use the domain at r >= 0.
@Cruzylife4 жыл бұрын
can you link to the schoology for polar graphing, please and thank you
@alexandraniedden53374 жыл бұрын
No, sorry! It's not a public page. Good luck!
@hussainaligopang2033 ай бұрын
Have you apload 13.1 polar coordinate
@alexandraniedden53373 ай бұрын
Section 13.1 in my book covers Vector Functions: kzbin.info/www/bejne/naLPh5mOps2Eg8k I don't think that's what you are looking for though...
@hussainaligopang2033 ай бұрын
@@alexandraniedden5337 ma'am I need Laplace equation in polar form and in spherical form
@adamkhan53783 жыл бұрын
When do you know if you can split up the equation or not?
@alexandraniedden53373 жыл бұрын
If the integrand is a product of function f(x)g(y)h(z), then you can split up the integrand. For example 3xyz can be split into 3x*y*z. On the other hand, 3x - 4y cannot be split into a product of functions, so we could not split up that integral.
@adamkhan53783 жыл бұрын
@@alexandraniedden5337 do the limits of integration matter for splitting it up? Like if the upper bound for the dr integral was in terms of theta but the integrand was 3rcos(theta), could we split it up?
@alexandraniedden53373 жыл бұрын
@@adamkhan5378 Ah good question! I neglected to mention that. Yes, the limits of integration matter. In your example, no, that integrand could not be split up because one set of limits relies on another variable. So not only do you need a product of functions, but you also need rectangular limits of integration in order to split the integral. Sorry for the omission!
@squirrel8121 Жыл бұрын
fk this class imma just hope linear algebra is easier
@anonymous-is5uz4 ай бұрын
I don't trust u solve for me
@listlessviewer1532 жыл бұрын
This is where my brain fails me. It’s been a good run 🫡