Complex Analysis Homework:

Every Friday I will collect homework and hand out an assignment for the next week. Typically, I will grade 3 of the problems on a scale of 0-3 points per problem. It is important that you pay attention to the quality of your written work. Clear explanations are of primary importance. If you provide only "the answer", then you will not receive full credit. The total homework score is worth 30% of your grade:

Assignment 1, due on 1/24:

1.1: Do 7,17,20,24,28 Read 1-4,26,29,30

1.2: Do 2,4,6,13,15 Read 8-10,12,14

1.3: Do 3,5,13,18,23 Read 8,14,17,22

Assignment 2, due on 1/31:

1.4: Do 2,4,8,11,18

1.5: Do 4,6,11,16,17

1.6: Do 19 Read 22

2.1: 1,4,5,10,12

Assignment 3, due on 2/7:

2.2: Do 5,10,12,18 Read 13,14,16

2.3: Do 2,4c,11dfg,15,16 Read 7,9,10,14

2.4: Do 1,2,3,5,6 Read 4

Assignment 4, due on 2/14:

2.4: Do 7,12,14,15

2.5: Do 2,3bcd,7,8,10,13

2.6: Do 1,2,3

Assignment 5, due on 2/21:

3.1: Do 2,7,10,11,12ab,18 Read 3,4,14,19,20

3.2: Do 3,5ab,9,11,17 Read 1,4,8

A  brief and conceptual summary of Chapter 1

Assignment 6, due on 2/28:

3.3: Do 1abc,4,8,13,16

4.1: Do 1,3,8,11,13

4.2: Do 1

A  brief and conceptual summary of Chapter 2

Assignment 7, due on 3/27:

4.4: Do 9,14,15

4.5: Do 1,2,5,7,10

4.6: Do 3,5

Assignment 8, due on 4/4:

5.1: Do 1,7,11,14,17

5.2: Do 4,5,7,13,14,19

Assignment 9, due on 4/11:

5.3: Do 1,4,7,8,12,14

5.5: Do 2,4,7

Assignment 10, due on 4/18:

5.5: Do 2,5,9,13

5.6: Do 1,2,3,5,6

Assignment 11, due on 4/25:

5.6: Do 7,11,16

5.7: Do 1acgi,2,5,9

Assignment 12, due on 4/30:

1: Complete this statement in at least four different ways: f is analytic if ...

2: For each statement in problem 1 describe an interesting thing that we learned based upon the given meaning of the word analytic.

3: Theoretically, we could use just one of the definitions from problem 1 to prove everything about analytic and harmonic functions, but we have seen that it is an advantage to know all of them rather than just one. Try to use one of the definitions in problem 1 to prove a statement or result from a different part of the book. For example, can you use the Cauchy-Riemann equations to prove some of the material in Chapter 6? Or can you use the series point of view to prove some of the material in Chapter 4? Or.....