Math 645
Complex Analysis
Spring 2014
MWF 10:30- 11:30, GRUE 309
Instructor: Dr. Alexei Rybkin, CHAP 304B, tel. 474-6002, e-mail arybkin@alaska.edu
Teaching Assistant: Vikenty Mikheev, vsmikheev@alaska.edu.
Office Hours: MWF 9:15-10:15 in Chapman 304B and by appointment.
Prerequisites: MATH 641 (Real Analysis) or permission of instructor.
Text: Lecture Notes on Complex Analysis, available from www.dms.uaf.edu/~rybkin/. This
course covers my lecture notes plus some additional material if time permits and/or interest
warrants. We will also use Complex Analysis by T. Gamelin.
Course Description and Goals:
This course is a graduate version of 422 (undergraduate complex analysis). As opposed to 422 the
emphasis will be placed on proofs. Complex Analysis is a particularly important course not only in
math but in science, engineering (you name it). Roughly speaking, it resembles Advanced Calculus
but for functions of one complex variable which brings tons of very important new features. Most
of it is late 19th – early 20th century math.
Homework:
Unless otherwise stated, you do all the exercises in my lecture notes. Homework will be collected
once a week on Wednesday. It should be in grader’s mailbox by 5:00 pm. No late homework.
Midterms:
There will two one-hour closed book midterms (announced at least one week in advance).
Final Exam:
A two hour closed book comprehensive exam. Do not plan on leaving prior to the final exam as it
is against the departmental policy to give earlier final exams (see www.uaf.edu/dms/policies/)
Grades: Are determined from:
Homework
Presentation
Two midterms
30%
5%
35%
Final
30%
Course grades are determined as follows (in interval notation):
A+
A
A-
(97,100]
(93, 97]
[90, 93]
D+
D
D-
(67, 70)
(63, 67]
[60, 63]
B+
B
BF
(87, 90)
(83, 87]
[80, 83]
C+
C
C-
(77, 80)
(73, 77]
[70, 73]
[0, 60)
Borderline cases will be graded up or down based upon your overall performance.
Withdrawals:
The deadline for withdrawal is Friday, March 14. Reasons for withdrawal:



fail to submit two or more consecutive hw assignments
maintain an average of 55% or less on quizzes and tests by the withdrawal deadline
don’t have all prerequisites for this class
University and Department Policies: Your work in this course is governed by the UAF Honor Code. Visit
www.uaf.edu/dms/policies/ for the Department of Math and Statistics specific policies on incompletes, late
withdrawals, and early final exams.
Disabilities Services: The Office of Disability Services implements the Americans with Disabilities Act (ADA). Please
contact the Office of Disabilities Services (203 WHIT, 474-7043) to set up any necessary accommodations.
Have a great semester and best of luck!!!