There was an error in my solution to problem 9 (b) on Homework Set 9: I originally said that all three poles were inside the given circle. Actually, only the two poles 0 and 1 + i are inside. Hence from the Residue Theorem the correct value of the contour integral should be π/2 + (π/2) i.
I’ve uploaded a corrected version of the solutions to the Math 421 UDrive.
In case you lost credit on #9 (b) because of my error, please bring your paper with you to the exam Tuesday and I’ll fix it.
(If I marked that problem as correct because of my mistake, you need not show me your paper to get any credit deducted!)