MATH 315 A             Complex Analysis                 Fall 2004

 

 

Professor:  George L. Ashline 

 

Office: 261 Jeanmarie Hall, Phone: 654-2434

 

Office Hours: M, W from 1:30 to 3:00 PM and T, Th from 1:30 to 2:30 PM; also, feel free to set up appointments with me for other times.  

 

Class Meets: T and Th from 10 to 11:15 AM in St. Edmund’s 207

 

Textbook:  Churchill and Brown, Complex Variables and Applications, sixth edition, McGraw-Hill, 1996.

 

Technology:  With your textbook, you should find a copy of the special edition of f(z), a graphics program for visualizing complex mappings written by Martin Lapidus for Lascaux Graphics. You will be asked to use this resource to complete some homework problems during the term and you may find it helpful to provide insight for some concepts discussed in class.  For information about installing and using this resource, see the handout entitled f(z) Special Edition.  I have installed the complete f(z) program on two of the computers in Jeanmarie 269.  To access it using either computer against the back wall, go to Start, then to Run, type D:\f(z)\f(z).exe to begin the program.

 

Home Page: You can access online information about this course and the other courses I teach at http://academics.smcvt.edu/gashline.  There are many good online complex variables sites offering a variety of programs and applets to assist in your visualization of complex mappings and understanding of concepts in complex analysis.  You can find links to several of these at my homepage, as well as the accompanying Complex Analysis Resources List handout. 

 

Homework:  Problems will be assigned regularly. Each problem set will have a specified due date.  You are strongly encouraged to keep up with the material on your problem sets.  If you are having difficulty with some of the new concepts, try to resolve your questions early on before they have a chance to grow.  Of course, you are welcome to stop by my office to ask questions and discuss any difficulties you may encounter.

 

Exams: There will be two in-class exams during the semester tentatively scheduled on Thursday, October 7 and Thursday, November 18, and a cumulative final exam on Tuesday, December 14 from 9 to 11:30 AM.   More information on these will be forthcoming. 

 

Presentation/Paper: Each of you is to prepare a thirty minute presentation/lesson for the end of the semester and a corresponding paper on a complex analysis topic of your own choosing.  A list of some possible topics will be distributed later in the semester.  By Thursday, November 11, you will submit your topic choice, and please see me before then if you have any questions about your project.  By Tuesday, November 23, you will submit an outline of your class lesson.  In this outline, you should specify your topic, your lesson and paper focus and outline, an initial bibliography of sources you will be using, and any questions you may have. 

Grading: Your grade will be based on homework, your presentation/paper, and your exams according to the following distribution:

 

Homework                               170 points

Presentation/Paper                      70 points 

Highest semester exam  140 points 

Lowest semester exam    70 points

Final exam                                150 points  

 

Thus, your final course grade will be based on a total of 600 points.                                 

 

Summary of Important Dates:

 

Exam 1                                     Th October 7  

                        Presentation topic due               Th November 11

Exam 2                                     Th November 18      

Presentation outline due            T  November 23

Presentation dates                     T November 30, Th December 2, Th December 7

Final exam                                T December 14, 9-11:30 AM

 

If you are aware of a conflict with these dates, let me know of it as soon as possible beforehand.

 

Learning Disabilities: Any student having a documented learning disability that may affect the learning of mathematics is invited to consult privately with me during the first week of the semester so that appropriate arrangements can be made.

Academic Integrity:  You are reminded of the academic integrity policy of St. Michael's College.  Simply stated, academic integrity requires that the work you complete for this class is your own.  Some examples of offenses against academic integrity include plagiarism, unauthorized assistance, interference, and interference using information technology.  Details about academic integrity offenses and the possbile sanctions resulting from them have been distributed a the beginning of the academic year and also can be found in the Associate Dean's office.

Class Attendance:  The following is taken from pp. 48-49 of the St. Michael's College 2003-2005 Catalogue:

“Students should understand that the main reason for attending college is to be guided in their learning activities by their professors.  This guidance takes place primarily in the classroom and the laboratory.

The following policies have been established:

1. Members of the teaching faculty and students are expected to meet all scheduled classes unless prevented from doing so by illness or other emergencies.

2. The instructor of a course may allow absences equal to the number of class meetings per week.  Additional absences will be considered excessive.

3. The instructor may report excessive absences to the Associate Dean of the College, who may warn the student.

4. If absences continue, the Associate Dean of the College may remove the student from class with a failing grade.”

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