This explanation is amazing! Thank you very much!!! I would spend hours and hours trying to understand this myself, but now after 20 minutes of watching this video i understand everything!
The best explanation I've found on the Internet for finding Laurent series for the same function with different annulus. I never knew when to factor out z. Your explanation of geometric series convergence made it all make sense. Thanks so much!
I've got a final for my complex variables class tomorrow and man, I wish I found this channel months ago! It's still extremely helpful for me to strengthen my fundamental understanding on the Laurent Series, Residues, and the Cauchy-Goursat Theorem. Here's to a high final grade!
Best playlist on complex analysis on UA-cam hands down. And your calm and clear language/voice makes it so much better.
One of the best videos I've seen on this topic.
One of the best explanations I've seen so far. Nice work!
agree!
Thanks for uploading such useful videos for frustrated students like me.
Lmao you're so brazzen but still true
Having watched so many videos talking about Laurent series, you are my lifesaver !! Thank you so much!
I watched many videos and found that yours is the best explanation. Thanks.
This explanation is amazing! Thank you very much!!!
I would spend hours and hours trying to understand this myself, but now after 20 minutes of watching this video i understand everything!
Professor Barrus, you are better than my professor in the University of Toronto, Canada!!!
I am Charlis Johnson and I sincerely approve this message!
ok
Haha, fellow UofT student here
I have watched this video more than 5 times. Very very helpful and well structured summary of expansions
Watched this amazing video at least 10 times and now feel great
The best explanation I've found on the Internet for finding Laurent series for the same function with different annulus. I never knew when to factor out z. Your explanation of geometric series convergence made it all make sense. Thanks so much!
You are my hero I have a complex analysis exam tomorrow and you taught me everything!
I've got a final for my complex variables class tomorrow and man, I wish I found this channel months ago! It's still extremely helpful for me to strengthen my fundamental understanding on the Laurent Series, Residues, and the Cauchy-Goursat Theorem. Here's to a high final grade!
So how was your final :D Because im exactly in the same situation as you were before. I've an exam tomorrow and i hope i will not fail.
@@okan3028 I also have a final in a few days. Hope we pass.
@@okan3028 same here for me lmao...we all are going through the same situation
@@piyalikarmakar5099
How much did you get ?
@@gokuvegeta9500 1rs lesser than what you get lmao
The best explanation ever on this topic.
Millions of thanks.💓💓💓
thanks for teaching . I will pass the exam with ur help
Excellent video, very helpful explanation. Thank you for your work.
These videos are amazing, thankyou so much for sharing
Awesome, one and only good explanation in this topic
Muito obrigado! Seu tutorial ficou muito bem feito e ajudou muito!
Thank you very much! Your tutorial was very well made and helped a lot!
Thank you for teaching me. It is veeeeeeeery helpful
This is many times better than the university course I pay for. lol:')
I don't pay for university but this video is still pretty good :D
Thank you so much from Italy!
extremely clear and well explained, thank you!
Thank you for the tutorial, was actually very helpful :)
Great work chief!
Great explanation. It helped me a looooooooot! Thanks!
What amazing explanation. Ty so much
It helped me a lot for preparing quiz .....
Thanks for this, really helped me clear this up
very straight forward, very helpful!
Really cool video, thanks a lot!!
Thank you great explanation
Thank you so much for these wonderful videos, what's the book that was used for this course?
excellent
really helpful！
How to expand in laurent series if it is centered at z=1 or 2
Thank you good sir :)
شكرا ♥️
Why do you factor the z-2 in problem c) and not the constant?
Because the region that described the annular region changed (compare it with the part a) )
the |z-2|>2 the greater than part is the key. The goal is to manipulate a z so that the |z-2|>2. we still use the "z"
Great.
Thanks a lot
Thanku very much
I love you
thank u
thanks
Thanks!
understand!!
Shit things understood from your video