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

Website: http://math.rice.edu/~dcole/427spr07

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

Textbook:

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

Grades:

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 |

Homework:

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:

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).

Midterms:

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:

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 (www.dss.rice.edu). 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.