Course information for (MATH 5620/6620)
Complex Analysis II
Professor Robert Carlson
Office: EAS 284
Phone: 255-3561
email: rcarlson@uccs.edu
Class meets Tuesday-Thursday 3:05-4:20 in Sci B213.
Office hours: Normal office hours for this class are T-Th 1:45-2:45.
You are also WELCOME TO DROP IN or make an appointment to see me at another time.
I am normally in my office 9:30 - 4:30, except for lunch 12-1,
and when I'm teaching TTh 10:50-12:05, TTh 3:05-4:20.
I leave about 3:00 on Wednesdays.
If you are making a special trip to campus
to see me I suggest calling ahead.
Legal fine print:
The administration of the course described below is subject to change
as deemed necessary by the instructor.
NEWS:
Homework 1 - due Thursday 1/26
1. By integrating its derivative and geometric series manipulations,
find the Taylor series for Log(z) centered at z=3.
Ahlfors page 178 #1, 2, 5
COMMENTS ON COLLABORATION:
Students are encouraged to discuss homework
problems with their classmates or
with the professor to share ideas, or detect and correct errors.
However, the written material handed in by the student
is expected to be the work of that student.
Copying homework solutions, or partial solutions,
from another student or source
is a serious violation of the university's cheating policy.
Drop dates:
Please review the Campus Calendar in the university's schedule of courses.
Students who drop a course may be eligible for partial refunds if the drop is
completed before a certain date.
Except for really exceptional circumstances beyond the student's control,
THE LAST DAY TO WITHDRAW IS MARCH 30, 2012.
Disability Services
Students with disabilities may be entitled to
support from Disability Services,
including extra time for examinations, in Main Hall 105, phone 255-3354.
Students who may fall into this
group should talk to Disability Services as soon as possible.
The Disability Certification Letter to the professor
is to be submitted within the first two weeks of classes.
COURSE DESCRIPTION:
TEXT:
L. Ahlfors, Complex Analysis (3rd edition)
Prerequisites:
Math 445 or Math 561, or the equivalent.
The main aims for this course follow the content of Ahlfors, chapters 5-7:
(i) series and product developments, including entire functions and
normal families, (ii) a study of conformal mappings
and their relationship to harmonic functions, including the proof
of the Riemann Mapping Theorem, and (iii) an introduction to elliptic functions.
Time permitting, other topics such as differential equations
in the complex domain may be included.
The instructor will try to balance the needs of students for whom this is a continuation
of Math 561 from Fall 2011 with the needs of students who have not taken the preceeding course.
Grading
Grading will be based on homeworks. No in-class exams are anticipated.
LATE HOMEWORK is accepted, with a grade penalty, for one week after the due date.
I expect to provide solutions for the homework. These will be available
on this web page. I can also provide a paper copy if someone needs it.
HOMEWORK ASSIGNMENTS AND SOLUTIONS
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