Complex Analysis Homework

  • Problems are usually due at the beginning of class.
  • 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.
  • Write only on the front side of each piece of paper.
  • Papers must be stapled—not paper-clipped, etc.
  • At the top of page 1, clearly print your NAME(S).
Homework 1, due 1/24/20: Honor Code

Homework 2, due 1/29

  • I.1: 1BGH, 2CD, 4
  • I.2: 2BC

Homework 3, due 2/5

  • I.2: 4, 6ABC (hints in back of book)
  • I.4: 3ABC

Homework 4, due 2/12

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

Homework 5, due 2/19

  • I.8: 2
  • II.1: 2, 3, 8, 10BC
  • II.2: 3, 5
  • II.3: 3

Homework 6, due 2/26

  • II.6: 1A, (not assigned, but worth looking at and thinking about: 6, 7, 9)
  • II.7: the three "algebra" questions from class, 1ABDG, 2, 9

Homework 7, due 3/25

  • Mooted, confuted, booted, disputed, refuted, and rebooted

Homework 8 , due 4/1

  • 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?)

Homework 9 , due 4/8

  • IV.5: 2
  • V.2: 10 (Hint: This should be easy. Ask for a hint if it's giving trouble.)
  • 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.6: 6 (Back of book has good hint; fill in details as needed.)
  • V.7: 1ABCDEFGI, 2AB, 6

Homework 10 , due 4/15

  • VI.1: 1B, 2B

Homework 11, due 4/22

  • VI.2: 1ACE, 6, 7, 8AB, 10
  • VI.3: 2

Homework 12, due 4/29

  • VII.1: 1ACEH, 2AC, 3ABD
  • VII.2: 4
  • VIII.1: 9