MATH 350A- Fall 2013

Benedictine University


Basic Information


Academic Honesty

Course Description

Problem Presentations

Academic Accommodations For Religious Obligations (AAFRO)

Course Objectives


Electronic Devices Policy


Oral Presentation

Other Information


Written Paper

Homework Assignments

Technology Requirement

Attendance and Tardiness Dr. Tim Comar's Homepage 

Basic Information:

Instructor: Dr. Timothy D. Comar

Location:  TBA

Office: Birck 128

Phone: 829 - 6555

Time: Monday, Wednesday: 11:00 a.m.- 12:15 p.m.


Web Site:

D2L login:

Office Hours:


9:15 a.m.-12:15 p.m.


1:30 p.m.-4:00 p.m.


10:45 a.m.-12:45 p.m.


by appointment

Textbook: Tristan Needham, Visual Complex Analysis, Oxford Unversity Press, 1997



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Course Description:

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, algebra, 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 numbers and their geometric representation, analytic functions, elementary functions, complex integration, the calculus of residues, Taylor and Laurent series, conformal mapping, and applications to hyperbolic geometry.

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Course Objectives:

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.


IDEA Objectives:

    1. Learning fundamental principles, generalizations, or theories. (Essential)
    2. Learning to apply course material (to improve thinking, problem solving, and decisions). (Essential)

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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. Ask questions!  If there is material with which you are not fully comfortable, you are expected to ask questions either during class, online, 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.

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 Technology Requirement:

Students are expected to use Desire to Learn (D2L) 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 Maple, and Maple may be used. There may also be a need for geometry software such as The Geometer's Sketchpad or GeoGebra. Graphing calculators without computer algebra systems may be used on in class exams. The written course project is should be written using appropriate mathematical typesetting software such as MathType or LaTeX.

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Problem Presentations 10%

Exam I


Exam II


Oral Presentation


Written Paper


Final Exam



The grading scale is 90% for A, 80% for B, 70% for C, and 60% for a D.  It is the studentís responsibility to seek clarification of the course requirements and evaluation policy.

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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. Homework will be due weekly on Fridays by 2:45 p.m.

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 follow-up work and re-writing 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 e-mail at

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Problem Presentations:

You are required to present one homework problem in class each week. These presentations will help you develop the ability to communicate mathematics effectively and will also help you gain practice before you present your course project orally at the end of the term. It is hoped that these presentations will promoted interactive dialogue in class. You will be evaluated on the mathematical accuracy and clarity of presentation.


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There will be two exams in this course and a final exam. Exams may contain a take-home portion and may require the use of technology.Exam dates are 10/2/13 and 11/13/13. The final exam is 12/11/13 10:15 a.m. - 12:15 p.m. There are no make-up 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.

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Oral Presentation:

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 fifteen-minute oral presentation in class.

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Written Paper:

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 20, 2013.The final draft will be due on Friday, December 6, 2013 at 2:45 p.m. You will be expected to write rigorous mathematical arguments and provide further details and background that can be expected in the fifteen-minute presentation.

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Absence and Tardiness:

Absence due to documented illness, participation in Benedictine University athletic activities, religious observance, or other extenuating circumstances will be excused.  It is your responsibility to inform Dr. Comar in the event of such absences.  Class attendance is very important.  Others will depend on you to be to participate in group exercises.  It is incumbent upon you to obtain class notes and updated assignments for missed classes. Tardiness will interfere with your time to complete homework quizzes and exams.  No student shall be admitted fifteen minutes after the scheduled classtime.

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Academic Honesty:

The search for truth and the dissemination of knowledge are the central missions of a university. Benedictine University pursues these missions in an environment guided by our Roman Catholic tradition and our Benedictine heritage. Integrity and honesty are therefore expected of all members of the University community, including students, faculty members, administration, and staff. Actions such as cheating, plagiarism, collusion, fabrication, forgery, falsification, destruction, multiple submission, solicitation, and misrepresentation, are violations of these expectations and constitute unacceptable behavior in the University community. The penalties for such actions can range from a private verbal warning, all the way to expulsion from the University. The University's Academic Honesty Policy is available at , and students are expected to read it. Acts of any sort of academic dishonesty will not be tolerated.  All instances will be pursued.  The first case of any academic dishonesty will result in a grade of zero for the assignment.  A second case will result in failure of the course. Any incident of academic honesty on the final exam will result in failure of the course.

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.

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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.

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Electronic Devices Policy

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 class-every 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.)

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Other Information:

Americans with Disabilities Act (ADA):

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, please contact Jennifer Rigor-Golminas in the Student Success Center, 012 Krasa Student Center, (630) 829-6512.   All students are expected to fulfill essential course requirements. The University will not waive any essential skill or requirement of a course or degree program.

Final Drop Date: Sunday, November 17, 2013

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This syllabus is subject to change.  Any changes will be communicated to all class members electronically.

Contact Dr. Comar:

 Dr. Tim Comar's Homepage 

Benedictine University Homepage | Department of Mathematics