Students are encouraged to use this portal to discuss concepts and clarify their doubts. Rules of the game: 1) You may post a new query by starting a new post using the create post functionality. 2) You may reply to queries by others and participate in promoting the knowledge of the community here. Everyone can see queries and responses to queries. 3) Periodically, I will also participate in the discussion but this is primarily for community participation. 4) Vulgar posts or irrelevant discussions will be deleted and repeated offenders will be asked to quit. Enjoy your online learning. Amrik

DBAR derivative is also known as Wirtinger derivative named after Austrian mathematician Wilhelm Wirtinger. You can read more about it here: https://en.wikipedia.org/wiki/Wirtinger_derivatives

Some of you have asked me multiple times about the physical meaning of a closed loop integral of the kind we see in Cauchy-Goursat theorem. Like I explained in class, for f(z)=1, you could interpret the integral as length of the contour/curve. Additional physical interpretation can be found here https://mathinsight.org/line_integral_circulation https://en.wikipedia.org/wiki/Circulation_(fluid_dynamics)

We will study Riemann surfaces for multivalued functions on Monday February 4th. Here is a useful link to help visualizing Riemann Surfaces: https://www.youtube.com/watch?v=4MmSZrAlqKc

From time to time, some "magic icons" will appear below as "PDF logos". These will contain solved examples in complex analysis collected from the internet and meant for your study. Do not disclose this secret to the outside world! Quietly enjoy this complex world!

Math is beautiful, yet crazy! It is certainly not for the fainthearted although it may be for the romantic realist. Enjoy this documentary series titled "Dangerous Knowledge": https://www.dailymotion.com/video/xdoe8u (part 1) https://www.dailymotion.com/video/xdoitj (part 2) https://www.dailymotion.com/video/xdoj7y (part 3) https://www.dailymotion.com/video/xdoj8c (part 4) https://www.dailymotion.com/video/xdojop (part 5)

Students who get a score of 29 or above (out of 30) on the mid-semester test (MST) will receive a hardcopy of the textbook from me as a gift. So, study hard!