MTH305: Complex Analysis

• PDF Notes will be available at this link.
  Erratum:
  1. 12th Jan, page 6. Zero should be replaced by pole. (This is corrected in the pdf with red).

• Youtube Video:

  • Week1: 4th Jan 5th Jan 7th Jan: Not recorded due to technical issues. 8th-Jan (Tutorial)

  • Week2: 11th Jan 12th Jan* 14th Jan 15th Jan (Tutorial)
    *Please carefully note the erratum in description.

  • Week3: 18th Jan 19th Jan 20th Jan* 21st Jan 22nd Jan (Tutorial)
    *20th Jan: extra class to complete the discussion on 19th Jan.

  • Week4: 25th Jan 28th Jan 29th Jan: Quiz1

  • Week5: 2nd Feb 4th Feb 5th Feb (Tutorial)

  • Week6: 11th Feb * 12th Feb
    *Note that there is a minor error in class. The notes (pdf) have been corrected.

  • Week7: 15th Feb* 16th Feb 18th Feb* 19th Feb (Tutorial)
    *Please note that we took an unnecessarily convoluted and longer path in class. A simplification is here. There was also an error in placement of the winding number in Cauchy's formula. That has been corrected in the notes.
    *There is an error in the way in which the Cauchy's formula was written during discussion on removable singularities. This is corrected in the notes in the red.

  • Week8: 22nd Feb 23rd Feb 25th Feb 26th Feb

  • Week9: 1st Mar: Quiz 3 2nd Mar: Tutorial 5th Mar: Midsem2

  • Week10: 8th March 09th March 11th March

  • Week 11: 15th March* 16th March** 18th March***
    *15th March class is treated as expository, all material will be covered later, any material covered exclusively (e.g. Homotopy) is not part of syllabus.
    **16th March class took some unnecessary digressions, these have been knocked off in green in the notes.
    ***18th March, earlier in the class I accidentally defined d(B,A) = sup(d(b, A) with b in B), as explained in the end (and corrected in notes) it should be inf( - ) instead.

  • Week 12: 22nd Mar (Discussion) 23rd March 25th March 26th Mar (Discussion)

  • Week 13: 30th March 1st April

  • Week 14: 5th April 6th April: Technical Issues with recording. 9th April (Discussion)

Note: Youtube video is subject to removal at anytime after two weeks from the date of class.

Note: Submit the following assignments using this form:

• Assignment 1 (deadline 14th Jan 2020).
  Submit Exercise 4, Exercise 5, Exercise 6 from discussion1.pdf and Section 1.1.4, Ex. 5 (pg 9), Section 1.2.1 Ex. 4 (pg 15) and Section 1.2.4 Ex.4 (pg. 20) from [Ahlfors].

• Assignment 2 (deadline 21st Jan 2020).
  Submit Exercise 2, Exercise 5, Exercise 8 from discussion2.pdf and Section 2.1.2, Ex. 3(pg 28), Section 2.1.2, Ex. 5(pg 28), Section 2.1.4, Ex. 4(pg. 33) from [Ahlfors].

• Assignment 3 (deadline 28th Jan 2020).
  Submit Exercise 1, Exercise 2, Exercise 4 from discussion 3.pdf and Ex. 7(pg. 41), Ex. 6(pg.48), Ex. 1(pg 73) from [Ahlfors].

• (Not to be submitted, uploaded on 25th Feb 2020): We have uploaded a file with some exercises on the recent material. This is not to be submitted.

NOTE:

• [Ahlfors]: Lars V. Ahlfors, Complex Analysis, McGraw-Hill (1979).
  You can find relevant pages uploaded to this folder.

• We will update all the discussion material (and referenced pdf files can be found) in this folder.

• Submission should only be made to the form referenced above, not by email.

Course: MTH305: Complex Analysis.

• Primary Reference: Classes on Mon Tue Thu Fri, 9:00am to 10:00am on zoom (links mailed). Friday will be tutorial, but not always.
  Office Hours: Wednesday 09:00 - 10:00, use this link for appointment.

  • Book an appointment by Tuesday 7:00pm for the corresponding Wednesday.

  • Office hours will usually happen as an open discussion in which others can join in.

• Textbook: Lars V. Ahlfors, Complex Analysis, McGraw-Hill (1979)

• Website: https://vaiby.page.link/mth305

• Weightage (total 100):

  • Quizzes + Assignments: 30
    - Best two of every three will be counted.
    - Quizzes will be announced.

  • Midsems: 15x2 = 30

  • Endsem: 40