# MT 46001: Complex Variables

## Fall 2012

**Time/Location**: MWF 2-3, Carney 106

**Instructor**: John Baldwin

**Email**: john.baldwin@bc.edu

**Office**: Carney 254

**Office Hours**: MWF 3-4 or by appointment

**Grader**: TBA

**Textbook:** Saff and Snider, *Fundamentals of Complex Analysis*, third edition

**Topics (tentative)**:
- 1.1-1.7: Complex numbers

- 2.1-2.5: Analytic functions

- 3.1-3.5: Elementary functions

- 4.1-4.6: Complex integration

- 5.1-5.3, 5.5-5.7: Series

- 6.1, 6.3: Residue theory

**Exams**: There will be two in-class midterms on February 24 and April 4 and a final exam on May 11. Exams must be taken as scheduled, except for documented illness or family emergency. If you have special needs regarding exams, let me know during the first month of class. No electronic devices will be allowed on exams.

**Homework**: Homework will be assigned every week on Wednesdays and will be due on the following Wednesday in class. The assignments will be posted here on this website. The homework problems below refer to problems in the textbook unless otherwise specified. Late homework will not be accepted (unless you have an official excuse). If you do not submit a homework in time, you will receive a zero for that assignment. You may work with other people and receive help from others, but you must write up your solutions on your own. Simply copying another's work is unacceptable. You must show all your work.

**Grading**: Your final grade will be computed as a weighted average as follows.

- Homework: 20%
- Midterm exams: 20% each
- Final exam: 40%

**Assignments** (Check the Blackboard page for Solutions):
- HW 1, due 1/25:

1.1: 1, 4, 5c, 7, 12, 14, 15, 22

1.2: 1, 3, 7a,e,i, 13, 14, 17

1.3: 5c, 6b, 7b,e, 9, 13

- HW 2, due 2/1:

1.4: 1b, 3c, 4a, 10, 12a, 17a,b, 20a

1.5: 5b,c,e, 6a, 11

1.6: 2, 3, 4, 5, 6, 7, 8, 16

1.7: 1b, 2a, 5d

- HW 3, due 2/8:

2.1: 1b,e, 5, 6a,b, 13a,b

2.2: 2, 5, 7b,c, 11c

2.3: 4c, 9b, 11c,g, 16

- HW 4, due 2/15:

2.4: 1a,b,c, 2, 3, 8, 11, 12

2.5: 1a,b, 3c, 4, 14
## ANNOUNCEMENT: in class midterm on Friday, February 24.

### Here is a list of topics that will be tested.

- HW 5, due 2/22:

3.1: 4, 7, 11b, 13d

3.2: 5d,e, 6, 15, 20

- HW 6, due 2/29:

3.3: 1a,c,d, 3, 6, 10, 11, 16

- HW 7, due 3/16:

3.4: 1, 4, 7 (there's a typo: argz should be Argz)

3.5: 1d, 3b, 5, 6b, 7

4.1: 1, 4, 8, 11

- HW 8, due 3/21:

4.2: 1, 3b, 5, 6, 9, 14ab

4.3: 1abgh, 2, 3, 5, 7

- HW 9, due 3/30:

4.4: 1, 9, 10, 11, 14, 16, 17

4.5: 1, 2, 3, 7, 8, 9
## ANNOUNCEMENT: in class midterm on Wednesday, April 4.

### Here is a list of topics that will be tested.

- HW 10, due 4/20:

4.6: 1, 4, 5, 8, 11, 13, 18

4.7: 1, 4, 6, 8, 9

5.1: 1a, 2b, 18, 19

- HW 11, due 4/27:

5.2: 1a,b, 5a, 8, 9

5.3: 2, 3a,b, 5a, 8, 9

- Extra Credit, due 5/11::

5.5: 1, 4

5.6: 1, 2, 6

6.1: 1a,b,c, 3a,b
6.3: 1
## ANNOUNCEMENT: Final Exam on Friday, May 11 at 12:30PM in Carney 106.

### Here is a list of topics that will be tested.