@ 15:00 Professor, we did the end point and added h(-2,0) to the list Okay I understand that but it’s a circle so what about when x is zero Then we’ll have h(0,-2) and h(0,2) With much thanks and math love Kind regards
The key is that we are transforming it from a problem which is two-dimensional to a problem which is one-dimensional (a good trick!). And in this case the way that we are breaking it up the left and right ends are acting as the boundary of the one dimensional problem.
@@BeardMeetsCalculus “You pay good money for this” I fell of my chair Free quality content like this on TH-cam, thank you for uploading. Bless you Prof
One more question See when you plug in the values from the list I see that you sometimes plug it in the function of boundary equations, as in the square or triangle, which makes sense as it makes life easy But you sometimes put it in the deferential of that function I’m having a hard time making sense of that(as I get different values)
Hmm. If I am plugging that into a derivative it is a mistake. In general you should either plug it into the function as given, or a reduced form of the function (e.g. on the boundary).
23:27 I find myself singing your songs during my exams and they never fail to make me smile
Thank you and may God bless you
Songs are surprisingly useful ways to remember things, and also to have fun. Good luck on your exams.
@ 15:00 Professor, we did the end point and added h(-2,0) to the list
Okay I understand that but it’s a circle so what about when x is zero
Then we’ll have h(0,-2) and h(0,2)
With much thanks and math love
Kind regards
The key is that we are transforming it from a problem which is two-dimensional to a problem which is one-dimensional (a good trick!). And in this case the way that we are breaking it up the left and right ends are acting as the boundary of the one dimensional problem.
@@BeardMeetsCalculus
“You pay good money for this”
I fell of my chair
Free quality content like this on TH-cam, thank you for uploading.
Bless you Prof
One more question
See when you plug in the values from the list
I see that you sometimes plug it in the function of boundary equations, as in the square or triangle, which makes sense as it makes life easy
But you sometimes put it in the deferential of that function
I’m having a hard time making sense of that(as I get different values)
Hmm. If I am plugging that into a derivative it is a mistake. In general you should either plug it into the function as given, or a reduced form of the function (e.g. on the boundary).