COMPLEX VARIABLES
MATH 350A Fall 2007
Contents:
Instructor: Dr. Timothy D. Comar 
Location: BK 144 

Office: Birck 128 

Phone: 829  6555 
Time: Monday, Wednesday: 11:00 a.m. 12:15 p.m. 

Email: tcomar@ben.edu 

Web Site: http://www.ben.edu/faculty/tcomar/index.htm Blackboard (WebCT) login: http://www.ben.edu/blackboard 
Office Hours:


Textbooks: J.E. Marsden and M.J. Hoffman, Basic Complex Analysis, 3e, W.H. Freeman and Company, 1999.



Complex Analysis is very exciting area of
mathematics that has applications in many areas including algebra, number
theory, geometry, physics, and engineering.
In particular, complex analysis plays very important roles in hyperbolic
geometry, complex dynamics, and the study of the Riemann Hypothesis, which are
active areas of mathematical research. In this course, we introduce basic
concepts and techniques in complex analysis and illustrate some relationships
between complex analysis and other areas of mathematics.
We will study complex number and their
geometric representation, analytic functions, elementary functions, complex
integration, the calculus of residues, Taylor and Laurent series, conformal
mapping, and analytic aspects of hyperbolic geometry.
By the end of this course, you should be expected to understand the computational and theoretical aspects of the course content and to develop an appreciation of how complex analysis interacts with other areas of mathematics.
You are expected to work on each problem
until you obtain a complete solution.
This may require several revisions of your work. Please expect some frustration as you proceed
through the course but even greater satisfaction once you have correctly
completed and understood a particular problem.
You will need to spend six hours per week outside of class on
this course. You are encouraged to work
with other class members, but you should submit your own work. Please give credit to anyone you use as a
resource. Ask questions! If there is material with which you are not
fully comfortable, you are expected to ask questions either during class or
during office hours.
We are a community of learners working together to achieve our course goals. As such, it is incumbent upon all class members to show appropriate respect for each other. Each class member has something important to contribute to the class and should feel comfortable sharing with the class. Participation in class is crucial, but you will be allowed to speak only when you raise your hand and are recognized by the instructor.
Students are expected to use WebCT for all course communications, accessing notes and
course information, and the completion of certain assignments as indicated in
this syllabus. Students are expected to know how to use the computer algebra
system Derive. Maple is also available
for use and is preferable. Neither Derive nor Maple will not be taught in this class. The
written course project is should be written using appropriate mathematical
typesetting software such as MathType or LaTeX.
Homework 
30% 
Exam I 
15% 
Exam II 
15% 
Oral Presentation 
10% 
Written Paper 
10% 
Final Exam 
20% 
The grading scale is 90% for A, 80% for B, 70% for C, and 60% for a D. It is the student’s responsibility to seek clarification of the course requirements and evaluation policy.
You will be assigned weekly problem sets. You
will be evaluated primarily on the quality and correctness of your homework
solutions. You will have the opportunity
to resubmit homework for full credit until the instructor is satisfied with the
quality, clarity, and correctness of the solution.
Studying mathematics is a social process. Much benefit can be gained by sharing insights and by struggling through problems with your peers. Learn to work with each other and learn from each other. Some activities may require followup work and rewriting outside of class. You are strongly encouraged to study and work with other class members. You are also strongly encouraged to consult Dr. Comar outside of the class periods during office hours, at the course web site, or via email at tcomar@ben.edu.
There will be two exams in this course and a final exam. Exams may contain a takehome portion and may require the use of technology. Exam dates are 10/15/07 and 11/21/07. The final exam is 12/12/07 10:15 a.m.  12:15 p.m. There are no makeup exams. If you miss an exam, your other exam score will be averaged to fill in for your missing grade. Missing the final will result in a grade of F.
This assignment is designed to encourage you to explore a topic in complex analysis that is not addressed directly by the class discussion. You will be expected to study material or conduct research independently and present the material to the class. You are HIGHLY ENCOURAGED to present your work either at the ACCA Student Symposium or the ISMAA Annual Meeting in early spring. This project could be the start of work that could lead to independent study, research, graduate school! Enjoy! You will present your work in a fifteenminute oral presentation in class.
This assignment is the written portion of the project which you present to the class in your oral presentation. A complete rough draft will be due November 14, 2007. The final draft will be due on Friday, December 7, 2007 at 4:00 p.m. You will be expected to write rigorous mathematical arguments and provide further details and background that can be expected in the fifteenminute presentation.
Absence due to documented illness,
participation in
The search for truth and the dissemination
of knowledge are the central missions of a university.
Your name should appear on all of your
submissions of your work. If collaboration is allowed, you must state
with whom you have collaborated. You are responsible for understanding
any authorized collaboriation policies on specific
assignments. You must also properly reference any other print, electronic, or
human resource that you consult.
Academic Accommodations
For Religious Obligations (AAFRO)
A student whose religious obligation conflicts
with a course requirement may request an academic accommodation from the instructor.
Students must make such requests in writing by the end of the first week of
the class.
One aspect of being a member of a community of scholars is to show respect for others by the way you behave. One way of showing respect for others in the educational community is to do your part to create or maintain an environment that is conducive to learning. That being said, allowing your cell phone to ring in class is completely inappropriate because it distracts your classmates and thus degrades their overall classroom experience. For the sake of your classmates, you are expected to turn off your cell phone or set it to mute/silence BEFORE you enter classevery class. Furthermore, if you use your cell phone in any manner during class (e.g. text messaging, games, etc.), you will be dismissed from class and will forfeit any points you might have earned in the remainder of the period. If you use your cell phone in any manner during a test or quiz, you will receive a zero for that test or quiz. (This policy also applies to pagers, iPODs, BlackBerrys, PDAs, Treos, MP3 players and all other electronic communication and/or data storage devices.)
If you have a documented learning,
psychological, or physical disability, you may be eligible for reasonable
academic accommodations or services. To request accommodations or
services, contact Tina Sonderby in the the
Final Drop Date: November 18, 2007
This syllabus is subject to change. Any changes will be communicated to all class members electronically.
Contact Dr. Comar: tcomar@ben.edu
Benedictine University Homepage  Department of
Mathematics  Faculty
Profiles
