Week3Lecture1: The complex derivative

[@doomunkel]

I admire your work! It's hard to find some good educational recourses on rather selective topic such as these. And you've just put an entire, greatly composed, qualitative video series out here on youtube for the whole world to see. It's perfect. Thanks!

[@camerashysd7165]

You are the one 🎉🙌

[@clayec]

Hello I'm watching your nice videos since many days with pleasure, it's a little hard but It's like a hard trip. It's a complement of my old student courses and a possibility to have a look about this part of the matemathic I have never studies. I'm a French IT engineer of 59 year old and I really appreciate your work for this those they want to learn . Regards Christian

[@Kybeline]

@Christian Layec - It's nice to hear at last, that somebody else has difficulties in understanding some things too. I think I'd never have a chance to understand them with anybody else but Petra here. For the other stuff (calculus 1, 2, 3 in the R) are the playlists of Prof Brandon Leonard just a similar pleasure, I tell you. All the students say in his comments that they learn more with him than in their own lectures. And I suppose that it's similar with Petra Bonfert-Taylor.

[@mathavraj9662]

32:54 How is conjugate of h taken to be zero, based on from which side we approach, doesn't it have different values like said in the evaluation of limit of conjugate Z.. From real axis it's (hx) + 0i from imaginary axis it's 0 + i(hy)

[@jeremyfischman7128]

Bottom line answer: the limit of hbar as h approaches 0 is 0, but when we did the derivative of Zbar we came up with an hbar/h term. Although the limit of hbar exists, the limit of hbar/h does not, because depending on which way h approaches 0, the value of hbar/h is different. I realize this question is 6 mos. old, so you've probably already answered it for yourself, but maybe the answer will benefit someone else with the same question.

[@mlunghisintlakuso3216]

Is it possible to get these slides?

[@abcdef2069]

h= delta x + i delta y is it ok to use the real number looking h even though you said h is a complex number to every calculation, as if delta x goes to 0, delta y goes to 0