Week5Lecture1: Complex integration

[@vuthanhphan6565]

the best Math teacher really!

[@axionc]

Will you be publishing a book on this series? I think you make a great teacher. Your videos are very organised and succinct. Really enjoy watching it.

[@ghafelbashi]

Dear Dr. Petra Bonfert-Taylor I would like to thank you for your very interesting and informative videos on Complex Analysis. One of the conditions of the Cauchy's Integral Formula is that for Zo to be a point in the domain D, so my question is what if the point is on the boundary of D, then what? for example; Integrate z/(z^2+4z+3) over the path C, where C is the circle with center -1 and radius 2. Thank you for your help and best regards. Oscar Ghafelbashi

[@zarap-youtube2166]

First of all - your videos are Amazing! Thank you so much for sharing :) I have a small question - Around 07:07 - when you define the integral using the idea of Riemann sum: You wrote: SUM f(z_(j))(z_(j+1) - z_(j)) I believe it's more precise to use the "samplings" in f, meaing: f(gamma(z*_(j))) s.t. z*_(j) is in [ t_(j) , t_(j+1) ] Getting - SUM f(gamma(z*_(j))) (z_(j+1) - z_(j))

[@matteovasta2326]

does the complex integral evaluate the area of a four dimensional object ?