Math 427: Complex Analysis

Main Page Homework

Course Description:
Study of the Cauchy-Riemann equation, power series, Cauchy's integral formula, residue calculus, and conformal mappings. Emphasis on the theory.

Meeting Time: TTh 10:50 AM -- 12:05 PM
Location: Herman Brown Hall 453

Instructor: Dr. Daniel R. Cole
Email: dcole at (the usual)
Phone: x3283
Office: Herman Brown 454
Office Hours: T 3:30 PM -- 4:30 PM, WTh 2:30 PM -- 3:30 PM, or by appointment

Teaching Assistant: Casey Douglas
Email: cjd at math dot (the usual)
TA Phone: x2868
TA Office: Herman Brown 447
TA Office Hours: To be announced

Stein, Elias M. and Shakarchi, Rami. "Complex Analysis," Princeton Lectures in Analysis, First Edition. Princeton University Press, 2003. ISBN: 0-691-11385-8.

In assigning final letter grades, your work will be weighed in the following manner:
50% Homework
20% Midterm (due Thu 1 Mar)
30% Final Exam
Attendance and class participation are not a formal part of your final grade, but they may be taken into account in borderline cases.

The homework assignments for this course will be available a week before their due date on the website for this course. Homework is due by the beginning of class on Thursdays (note: there is no homework the first week or the week of the midterm).

There will be eleven assignments in all, and each assignment will have five or six exercises. Your solutions should be polished and easy to follow, with proofs written in paragraph form using complete sentences. Your goal is to achieve the same sort of clarity in your homework as Stein and Shakarcki demonstrate in their textbook. Homework assignments done in LaTeX are encouraged, but not required.

Each exercise will be graded on the following 0 to 4 scale:
4 = Essentially correct and well written
3 = Some significant errors, or essentially correct but badly written
2 = Major deficiencies in write-up
1 = Handed in with little work shown
0 = No work done on exercise
The sum of your scores on the exercises will be your grade for the homework assignment. You may resubmit any homework assignment two Thursday classes after its original due date for full credit (the last two homework assignments may be resubmitted with your final). Please attach your original homework to your resubmitted assignment when you hand it in.

The sum of your top ten homework grades (after resubmission) will be your homework score for the course (i.e., your lowest homework grade will be dropped).

The midterm for this class with be a take-home exam due Thursday, March 1 at the beginning of class. It will be handed out a week in advance, and it will be a limited open book exam. See the honor code statement for more details.

Final Exam:
The final exam will be a cumulative take-home exam due Wednesday, May 2 at 12:00 PM for degree candidates and Monday, May 7 at 12:00 PM for non-graduating students. It will be handed out on the last day of class, and, like the midterm, it will be a limited open book exam. See the honor code statement for more details.

Honor Code:
Homework: You are allowed and are encouraged to work together while solving homework problems, but all write-ups must be done independently and in your own words.

Exams: For the midterm and the final exam, you may use the textbook for this class and your class notes as references. No other reference materials are allowed. You are allowed to read the exam and to work on it at any time between when it is handed out and when it is due. You are not permitted to discuss the exam with anyone other than the instructor or the teaching assistant.

Disabilities Statement:
Any student with a documented disability needing academic adjustments or accommodations should speak to me as soon as possible, preferably during the first two weeks of class. I will be happy to help you, and all communications will remain confidential. As a reminder, you will also need to contact Disability Support Services in the Ley Student Center ( If you believe that you have an undocumented disability, you are encouraged to talk to me and Disability Support Services so that you can get help.

Other Accommodations:
If you have any difficulties in meeting deadlines or in taking the midterms at the scheduled times, in particular in the case of illness, death in the family, or extracurricular activities which require you to be away from campus, you are encouraged to speak to me, and I will do my best to accommodate your needs. In the case of conflicts which can be anticipated in advance, it is requested that you notify me a week before the due date of the assignment or the date of the exam.