| Instructor: Office: E-mail: |
Neil
Lyall Boyd GSRC 602A lyall (followed by @math.uga.edu) |
Time/Location: Office Hours: (to be confirmed) |
MWF MW Th |
12:20-1:10
(Boyd
304) 1:15-2:15 TBA |
| Textbook: |
Basic Complex Analysis,
by Marsden and Hoffman (Third Edition) |
|||
| Handout on Infinite Series (as
covered in Math 3100) |
| Course description: | In this
course we will study complex analysis, which is essentially calculus
with complex numbers. At first it may seem that this should be harder
than calculus with real numbers, but we will see that in many ways
working with complex numbers leads to a "simpler" theory. This is
entirely due to the fact that complex differentiable (also called
analytic or holomorphic) functions behave in a way that is markedly
different to that of real differentiable functions, and are much more
"rigid" in a sense we will develop. This leads to many nice properties
of analytic functions, which in turn lead to beautiful applications of
this subject, even to questions that at first glance have nothing to do
with complex numbers! |
| Topics to be covered: | Most of chapters 1-4, namely: Analytic Functions, Cauchy's Theorem, Series Representation of Analytic Function and Calculus of Residues. |
| Course objectives: | Understanding complex variable concepts and developing computational facility with their applications. |
| Homework: |
Homework will be assigned weekly, see below. |
| Exams: | There will be three
in-class "midterm" exams and (of course) a final exam. ** dates
subject to change** |
| Exam 1: | Wednesday
12th
of
October |
Math
4150 version Math 6150 version |
|
| Exam 2: | Friday 18th of November | Math 4150 version Math 6150 version | |
| Final Exam: |
Friday 9th of December 12:00-3:00 |
| Grading: | Homework:
30% |
Tests:
40% (20% each) |
Final: 30% |
| For full credit, full work must always be shown. Any absence on a test day will result in a test grade of 0. It will be possible to make up for a missed test only if documented justification for the absence is provided. | |||
| Calculators:
|
You may not use calculators on any test unless specifically stated otherwise. | ||
| WP/WF policy: | The
official attendance policy of the university states: Students are expected to attend classes regularly. A student who incurs an excessive number of absences may be withdrawn from a class at the discretion of the professor (http://bulletin.uga.edu/bulletin/ind/attendance.html) In this class, we interpret "excessive" to mean four or more unexcused absences. A student withdrawing after the first exam will receive a WF unless he/she has a marginally passing (D) average in the class (taking into account all relevant data: homework/quiz grades, exams, attendance). |
||
| Homework 1 |
||
| Due
Wednesday August 24 |
1.1 |
1, 6, 7, 14* |
| 1.2 |
1, 4, 6, 10, 22* |
|
| 1.3 |
2, 6, 8 (we will discuss the
material for questions 6 & 8 on Monday) |
|
| Homework 2 |
||
| Due
Wednesday
September 7 |
1.4 |
3, 5, 19, 20, 21* |
| 1.5 |
1, 3, 9, 10 |
|
| 1.6 |
1, 2, 10* |
|
| Homework 3 |
||
| Due Friday
September 16 |
2.1 |
1, 3, 4, 5, 6*, 8, 9, 12 |
| 2.2 |
1, 5*, 6*, 9 |
|
| Homework 4 |
||
| Due
Wednesday
September 28 |
2.4 |
2, 3*, 4, 5, 6, 7, 13, 14*,
15, 16*, 18, 19 |
| Homework 5 |
||
| Due Friday October 7 |
Chapter
1
Review Chapter 2 Review |
1, 4, 9, 10, 11, 13, 15, 19, 27,
33 1, 5, 6, 11, 13, 19, 21 |
| Homework 6 |
||
| Due
Wednesday October 26 |
3.2 3.3 |
1, 3, 5, 7, 9, 25* 1, 2, 3, 4, 19 |
| Homework 7 |
||
| Due Friday
November 11 |
3.3 4.1 4.2 |
9, 16* 1, 3, 4*, 5, 7, 9*, 11*, 13 1, 3, 4, 6, 10 |
| Homework 8 |
||
| Due Monday December 5 |
3.R 4.3 4.R |
1, 3, 14, 15, 18, 25 1, 2*, 3 [undergraduates need only do with a=5 & b=4], 7, 13, 20 1, 2, 3, 5, 7, 13, 23, 24 |