Prof. W. Kahan's Notes and Problems for Math. 185 & H185:
- - Analytic Functions of a Complex Variable - -

Math. 185 was taught in the Fall semester 2006.
Math. H185 was taught in the Spring semester 2008.

The 185 class voted for an exam to which each examinee could bring a
Crib-Sheet: An 8.5x11" sheet covered with the examinee's own notes.
No other notes, books, papers, computers nor telephones were allowed.


The H185 class voted for a closed-book exam to which each examinee could
bring no notes, books, papers, computers nor communications devices.

Files available from this web page as of 19 May 2008;
some may have been updated since first posted, so get the latest!



A closed-book Midterm Exam took place on Mon. 30 Oct. 2006

• A syllabus for the Midterm exam had been posted here. (ASCII file)

A closed-book Midterm Test took place on Wed. 23 Apr. 2008



• Required texts and recommended readings. (ASCII file)
• Corrections for errors in D. Sarason's notes. (PDF file)


• Solutions for problems 1 - 5 issued 30 Aug. 2006 (PDF file)
• Solutions for problems 6 - 7 about Conic Curves, issued 30 Aug. 2006 (PDF file)
• Solutions for "Concyclic" problems due 8 Feb. 2008. (PDF file)
• Caratheodory's proof that Stereographic Projection is Conformal. (PDF file)
• Another approach to Complex Derivatives, etc. (PDF file)

Assignment due Mon. 25 Sept. 2006: Hand in a solution for Exercise 19 on p. 14 of
~~~~~~~~~~ the foregoing notes.

• A solution for Ex. 19. (PDF file)


• Notes (Extracted) on Moebius Transformations. (PDF file)
• Two solution2 for Ex. 2 p. 43 in D. Sarason's Notes. (PDF file)
• The Radius of Convergence of a Transcendental function's Taylor series. (PDF file)
• Solutions for problems assigned 29 Nov. and due Wed. 6 Dec. 2006 (PDF file)
• Solutions for problems in a Test on 27 Feb. 2008. (PDF file)
• Solutions for problems due 9 Apr. 2008. (PDF file)
• Solutions for the problems in 185's Final Exam. (PDF file)
• Solutions for the problems in H185's Final Exam. (PDF file)
Grades reported in 2006 to the Registrar. (ASCII file)