**
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.”