So this is me...
your instructor of MATH508 this spring semester, a.k.a.
Francisco-Javier Sayas. Click on the photo for more
Some links
Basic information about the course
-
From the course description,
this is an ...
Introduction to analytic functions, contour integration,
power series, residues and conformal mapping
- Our textbook will be: Edward B. Saff & Arthur D Snider. Fundamentals of Complex Analysis with Applications to Engineering and Science (3rd edition)
- The textbook will be used for exercises, reading and as a source of well drawn figures that you'll need to get to grasp the subject
- The course website is: http://math.udel.edu/~fjsayas/teaching/math508/
- Scroll down for the PRECISE AND FREQUENTLY UPDATED SCHEDULE. You'll get all the information you need and might want to ask about, without even having to ask. How about that.
- Evaluation is explained in the syllabus.
- Documents will be linked at the documents page.
Important
The SCHEDULE table below contains all necessary
information and will be systematically update as the
semester advances. Get used to have a look at it once a week
for news.
The schedule (check for weekly updates)
Problems are going to be
listed in the following way. For example, [1.1] 3,4, 6-10
& 21 means: problems 3,4, 6 to 10 and 21 of Section
1.1 in the book. Consider
seriously working through all recommended problems.
Quizzes will develop on them. (Note that I'll
probably have solved some of the problems in class. I will
not warn about this though.)
| Week |
Lecture |
Description |
Section(s) |
Exam
or HW due |
Recommended
problems |
|
| 1 |
02/07 |
Tu |
Introduction.
Slides |
[1.1]
4, 5-13, 15, 16, 18 & 20 |
||
| 02/09 |
Th |
1.
Complex numbers |
1.1
& 1.2 |
[1.2]
3, 4, 8, 9, 10 & 14 |
||
| 2 |
02/14 |
Tu |
1.3 &
1.4 |
HW #1 due.
Assigned problems: [1.1] 15, 16(d), 20(b), 20(c) [1.2] 4, 10 |
[1.3] 2, 5,
7, 10, 12, 15 [1.4] 1, 2, 3, 4, 5, 7, 8, 9, 10, 17 |
|
| 02/16 |
Th |
1.5 |
[1.5] 3, 4,
5, 6, 13 |
|||
| 3 |
02/21 |
Tu |
2. Analytic functions |
2.1 |
Quiz # 1 (closed
book; on Sections 1.1 to 1.5) |
[2.1]
3-5, 7-10 |
| 02/23 |
Th |
2.2 |
[2.2]
1-6, 11, 14, 21, 25 |
|||
| 4 |
02/28 |
Tu |
2.3 &
2.4 |
HW #2 due.
Assigned problems: [1.5] 4(a), 5(d) [2.1] 4, 9 [2.2] 3, 11(b), 11(c), 11(d) |
[2.3] 4, 6,
7, 9, 14, 15, 16, 17 [2.4] 1, 5, 7, 8, 10, 14 |
|
| 03/01 |
Th | 2.4, 2.5
& 2.7 |
||||
| 5 |
03/06 |
Tu | 3. Elementary functions |
3.1 |
Quiz #2 (closed
book; Sections 1.1-1.5 & 2.1-2.4) |
[3.1]
1, 3, 5, 7, 8, 13, 15 |
| 03/08 |
Th | 3.1
& 3.2 |
[3.2]
1, 2, 5, 7, 9, 17(a)-(b), 18 |
|||
| 6 |
03/13 |
Tu | 3.3 |
HW #3 due.
Assigned problems [1.4] 17(d) [2.4] 5 [3.1] 5(a), 13(c), 15(e) [3.2] 5(d), 7, 17(b) |
[3.3] 1, 3,
4, 5, 9, 10, 11, 12 |
|
| 03/15 |
Th | 3.5 |
[3.5] 1, 2, 3, 4, 6, 9, 13 | |||
| 7 |
03/20 |
Tu | 3.5 |
|||
| 03/22 |
Th | THE
MIDTERM EXAM (Open book. Chapters 1, 2 and 3) Review list and quizzes |
||||
| THE SPRING
BREAK |
||||||
| 8 |
04/03 |
Tu | 4. Complex integration |
4.1 |
[4.1]
1, 3, 6, 7, 8, 10, 11 |
|
| 04/05 |
Th | 4.2 |
Take
home part of the Midterm exam due |
[4.2]
3, 5, 8, 11, 14 |
||
| 9 |
04/10 |
Tu | 4.3 |
Quiz #3 (take
home, due 04/12; Sections 4.1-4.2) |
[4.3] 1a-c,
1e, 2, 5, 7 |
|
| 04/12 |
Th | 4.4 |
[4.4] 9,
10, 11, 13, 14, 15 |
|||
| 10 | 04/17 |
Tu | 4.5 |
HW #4 due.
Assigned problems [4.1] 8 [4.3] 1b, 1c, 2 [4.4] 9a-c, 10c, 13 |
[4.5]
1,2,3,4 |
|
| 04/19 |
Th | 5.
Series representation of analytic functions |
5.1 |
[5.1]
1a-e, 2a-c, 8, 9, 11 |
||
| 11 | 04/24 |
Tu | 5.2 |
Quiz #4 (in
class, 25 minutes, on Sections 4.1-4.5) |
[5.2] 1, 2,
5, 7, 8 |
|
| 04/26 |
Th | 5.3 |
[5.3] 1, 2,
3, 5, 8 |
|||
| 12 | 05/01 |
Tu | 5.5 |
|||
| 05/03 |
Th | 5.5 |
HW #5 due [4.5] 3e [5.1] 1e, 2d [5.2] 5a, 5b [5.3] 2, 3a, 5b, 5c |
[5.5]
1, 3, 5, 6, 9 |
||
| 13 |
05/08 |
Tu | 6. A taste of residue theory |
6.1 |
||
| 05/10 |
Th | 6.2, 6.4 |
Quiz #5 (in class, Sections 5.1-5.3 and 5.5) | |||
| 14 |
05/15 |
Tu |
REVIEW
TIME |
Take
home part of final will be given today |
||
| THE FINAL EXAM
(May 24 10:30-12:30. Open book. Chapters 1-5) Review list and quizzes CHECK OUT THE INSTRUCTIONS ON WHAT YOU CAN BRING TO THE EXAM |
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| CONGRATULATIONS TO ALL NEW GRADUATES!! |
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