Complex Analysis Homework

  • Problems are due at 11:59pm. (I won't check until the next morning.)
  • Late homework will not be accepted.
  • You are encouraged to work together on these problems.
  • They may be handed in jointly (unless I change my mind).
  • Present work neatly on 8.5 x 11″ paper.
  • Label each problem and page number.
  • Assemble them in correct order.
  • Scan your homework into one .pdf
  • Papers must be stapled—not paper-clipped, etc.
  • Parentheses "( )" mean that problem is not to be handed in.
Homework 1, due 1/28: Honor Code

Homework 2, due 2/2

  • I.1: 1BGH, 2CD, 4
  • I.2: 2BC, 4, 6ABC (hints in back of book)

Homework 3, due 2/9

  • I.4: 3ABC

Homework 4, due 2/16

  • I.5: 1BE, 2AB, 3, 4
  • I.6: 1BC, 2AC, 3, 4
  • I.7: 1AB, 4, 5
  • I.8: 1AB

Homework 5, due 2/23

  • II.1: 2, 3, 8, 10BC
  • II.2: 3
  • II.3: 3

Homework 6, due 3/2

  • II.6: 1A, (not assigned, but worth looking at and thinking about: 6, 7, 9)
  • II.7: the three "algebra" questions from class

Homework 7, due 3/9

  • II.7: 1A, 2, 9
  • III.1: 1BC, 2, 3
  • IV.1: 1AC

Homework 8, due 4/6

  • IV.1: 5 (use the ML theorem)
  • IV.2: 2 (you'll need to use two different branches of the log)
  • IV.4: 1H (where are the discontinuities? for which pieces of the function?)
  • IV.5: 2

Homework 9, due 4/13

  • V.2: 8, 9, 10 (Hint: This should be easy. Ask for a hint if not.)
  • V.3: 6 (Hint: Use a convergence test. Not the one I hate.)
  • V.4: 3 (Don't compute the power series. Explain the RoC.)
  • V.5: 1C
  • V.7: 1CFGI, 2B

Homework 10, due 4/20

Homework 11, due Wednesday 4/27

  • VI.1: 1B, 2B
  • VI.2: 1CE, 7, 8AB

Homework 12, due Friday 5/6

  • VII.1: 1ACDE, 2B, 3AD
  • VII.2: 4