The most helpful multivariable course I discovered on the internet! I admire your handwriting on the blackboard! Even in my school, the content is similar, bur the professor likes to stick to reading powerpoint.
I was so lost on this subject, but scouring youtube I couldn't find any videos that helpfully explained this concept until I found this one. Incredibly engaging, approached the subject differently than anyone else, explained things super well. Overall such a great video, thank you so much.
I feel deeply identified with the mathematician spotlight : Piper Harron, Since the limitations in Latin America are overwhelming, especially when studying at a university, and especially mathematics, I found your way of presenting your thesis wonderful because it is so inclusive and accessible to people with less mathematical language. Thank you very much for the approach.
You made a very nice lecture series! Thank you very much for sharing it online. At about 35:10, however, it seems that the limits of *difference quotients* should be calculated instead.
Thank you for this very helpful series. Please explain your answer. It doesn't seem right. For example, f(x,y) = x^2 -9y. f(3,1) = 0. Likewise, limit (x --> 3) f(x,1) = 0. However, partial derivative with respect to x is not 0 at (3,1)
Mam I have a little misconception I want to ask nd know What is the difference between a Continous Function & Differential Function??? please do reply ?
Does f'(x) = +ve value (Limit as in formal definition of derivative from both side is same) in single variable mean differentiable but f'(x,y)= + ve not differentiable? Ex f(x)= (x^2 when x=3 when ) limit as x->3= 6 (from both side) said to be differentiable.
Diana Davis i never said cant. what does she say to the kid who has been passionate about stem his entire life only to find out that there are people out there who want him to never follow his dream just because of his sex and the color of his skin. i say this as a minority myself.
Diana Davis as much as i understand what she was trying to say, it ends up creating barriers between people just because of the skin they were born with. there are bad people who are white, but don’t hurt all the good people who are white too and turn an entire race into a monolith
The thing is, when a single woman of color says this, nothing's going to happen. Nobody's keeping cis white men from maths - nothing has ever done so. The opposite however, is not true: women, people of color and other minorities have been kept away from stem for a very long time. I completely understand her frustration. Obviously writing that wasn't very clever, but given what she's probably been through to get to where she is she definitely didn't deserve the storm of shit she got from butthurt white men.
Thanks for the video, but what's with the bullshit woke intro? Why would you quit your job for someone "less privileged"? Are they more important than you?
If two people show up equally qualified for a job, one more privileged and one less privileged, chances are that the less privileged one is actually more competent. Think about it!
@@andreipopescu5342 Yep! If a short person and a tall person both swam the same time for a (competitive) race, then most likely the short person is a more better swimmer (better technique, better conditioning). Very true!
@@dianathemath this is just it: they likely have better conditioning and technique, but in effect THEY ARE NOT better, they are just as good. And in practice, if you were to employ either of them for the job of swimming, you'd prefer the one that, supposedly, for the same outcome submits the smaller effort, as likely they are more reliable on the long run.
@@andreipopescu5342 the height metaphor really breaks down here. How about a different scenario: two crews are rowing in a river. The home crew is rowing in the lane along the land, where the water is still and easy to row in. The visiting crew has a lane in the middle of the river, where there are waves and the oncoming current is strong. The home crew finishes the 8-minute race a few seconds ahead of the visiting crew. Which crew is more likely to compete better at next weekend's championships and why?
The most helpful multivariable course I discovered on the internet! I admire your handwriting on the blackboard! Even in my school, the content is similar, bur the professor likes to stick to reading powerpoint.
I was so lost on this subject, but scouring youtube I couldn't find any videos that helpfully explained this concept until I found this one. Incredibly engaging, approached the subject differently than anyone else, explained things super well. Overall such a great video, thank you so much.
I feel deeply identified with the mathematician spotlight : Piper Harron, Since the limitations in Latin America are overwhelming, especially when studying at a university, and especially mathematics, I found your way of presenting your thesis wonderful because it is so inclusive and accessible to people with less mathematical language. Thank you very much for the approach.
Thank you, your explanation finally made everything clear for me!
Wonderful, I'm so glad!
This is the best explanation ever.And this is my first comment about some lecture)
You're awesome. Got some very intuitive ideas to ponder upon. Thanks a ton !!
You tube recommend me this video.....next level lecture
For the first time, I understood this topic.
Wonderful, I'm so glad!
You made a very nice lecture series! Thank you very much for sharing it online.
At about 35:10, however, it seems that the limits of *difference quotients* should be calculated instead.
Thanks for your comment! That's true, but since f(0,0) = 0, they are the same in this case.
Thank you for this very helpful series. Please explain your answer. It doesn't seem right. For example, f(x,y) = x^2 -9y. f(3,1) = 0. Likewise, limit (x --> 3) f(x,1) = 0. However, partial derivative with respect to x is not 0 at (3,1)
Mam I have a little misconception I want to ask nd know What is the difference between a Continous Function & Differential Function??? please do reply ?
A function f is continuous if f is continuous; a function f is differentiable if f' (the derivative of f) is continuous.
Does f'(x) = +ve value (Limit as in formal definition of derivative from both side is same) in single variable mean differentiable but f'(x,y)= + ve not differentiable?
Ex
f(x)= (x^2 when x=3 when ) limit as x->3= 6 (from both side) said to be differentiable.
35:13 slight typo, should be f_x (0,0) = lim f ' (x,0) as x→0, need that prime. it doesnt effect the result.
Wow, finally find the explanation of this , thanks a lot
make vedio on differentiability in R^n
THANK YOU SO MUCH.
Great video!, thanks for explain easy and full usefull
You're welcome! I'm glad you enjoyed it.
Very helpful thanks
you do not get to say something that targets and generalizes a specific ethnic group, and then complain that all you wanted was to do math
Your definition of "can't" differs from mine.
Diana Davis i never said cant. what does she say to the kid who has been passionate about stem his entire life only to find out that there are people out there who want him to never follow his dream just because of his sex and the color of his skin. i say this as a minority myself.
Diana Davis as much as i understand what she was trying to say, it ends up creating barriers between people just because of the skin they were born with. there are bad people who are white, but don’t hurt all the good people who are white too and turn an entire race into a monolith
Diana Davis but i do appreciate the lecture
The thing is, when a single woman of color says this, nothing's going to happen. Nobody's keeping cis white men from maths - nothing has ever done so. The opposite however, is not true: women, people of color and other minorities have been kept away from stem for a very long time.
I completely understand her frustration. Obviously writing that wasn't very clever, but given what she's probably been through to get to where she is she definitely didn't deserve the storm of shit she got from butthurt white men.
Diana: "I'm not going to quit my job."
Nope! Still at it!
Thanks for the video, but what's with the bullshit woke intro? Why would you quit your job for someone "less privileged"? Are they more important than you?
If two people show up equally qualified for a job, one more privileged and one less privileged, chances are that the less privileged one is actually more competent. Think about it!
@@dianathemath I understand your point of view, but it's like saying that shorter people are better swimmers. Think about it!
@@andreipopescu5342 Yep! If a short person and a tall person both swam the same time for a (competitive) race, then most likely the short person is a more better swimmer (better technique, better conditioning). Very true!
@@dianathemath this is just it: they likely have better conditioning and technique, but in effect THEY ARE NOT better, they are just as good. And in practice, if you were to employ either of them for the job of swimming, you'd prefer the one that, supposedly, for the same outcome submits the smaller effort, as likely they are more reliable on the long run.
@@andreipopescu5342 the height metaphor really breaks down here. How about a different scenario: two crews are rowing in a river. The home crew is rowing in the lane along the land, where the water is still and easy to row in. The visiting crew has a lane in the middle of the river, where there are waves and the oncoming current is strong. The home crew finishes the 8-minute race a few seconds ahead of the visiting crew. Which crew is more likely to compete better at next weekend's championships and why?