COMPLEX VARIABLES

MATH 350A- Fall 2011

Benedictine University

Contents:

Basic Information

Homework

Academic Accommodations For Religious Obligations (AAFRO)

Course Description

Exams

Electronic Devices Policy

Course Objectives

Oral Presentation

Other Information

Expectations

Written Paper

Homework Assignments

Evaluation Attendance and Tardiness Dr. Tim Comar's Homepage 

Technology Requirement

Academic Honesty

 

Basic Information:

Instructor: Dr. Timothy D. Comar

Location:  BK 026

Office: Birck 128

Phone: 829 - 6555

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

E-mail: tcomar@ben.edu

Web Site: http://www1.ben.edu/faculty/tcomar/index.htm

D2L login: https://ben.desire2learn.com/

Office Hours:

Monday:

12:30 p.m.-2:00 p.m.

 

Wednesday:

12:30 p.m.-2:00 p.m.

Friday:

10:45 a.m.-12:15 p.m.

Also:

by appointment

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

 

 

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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, 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.

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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.

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Expectations:

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. 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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Evaluation:

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 studentís responsibility to seek clarification of the course requirements and evaluation policy.

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Homework:

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 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 tcomar@ben.edu.

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Exams:

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 10/17/07 and 11/28/07. The final exam is 12/13/07 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 14, 2007.The final draft will be due on Friday, December 9, 2011 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 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 http://www.ben.edu/AHP , 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, contact Student Success Center, Krasa 012, (630) 829-6340  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: December 4, 2011

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

Contact Dr. Comar: tcomar@ben.edu

 Dr. Tim Comar's Homepage 

Benedictine University Homepage | Department of Mathematics