Course meetings, Tues -Thurs 10:15-11:30 AM pm Room Gillet 205
Text: Complex Analysis by L. Ahlfors, McGraw Hill.
Other classical texts you may want to consult are: Theory of Functions by Caratheldory, Chelsea, The five small volumes on Theory of Functions by K. Knopp, dover reprint. There are newer texts as well.
Instructor: Prof. Keen. Office Room 4302 Phone 212 817 8558 or 718 960 8867 email linda@lehman.cuny.edu or keenl@comet.lehman.cuny.edu Office hours: By appointment
Outline
I plan to give a very standard beginning complex analysis course. I expect to cover the material in Ahlfors in the first semester. I will assume the material in the first chapter on the algebraic properties of complex numbers and their geometric representation.
The homework assignments will appear on this page.
The final grade will be based on a take home final exam.
The due date for the final exam will be announced on this page well in advance.
Class and Homework Assignments:
| Date | Class Topic | Assignments from Ahlfors Third Edition. Exercises are denoted by the section number of the chapter being studied. |
| Aug 31 | Introduction | Read Chapter 1, sec 1,2, ex 1.1/3,4 , 1.2/1,2 |
| Sept 2 |
Chap 1 sec 3,4 ex 1.3/1,5 1.4/1,2,5 |
|
| Sept 7 |
Chap 3 sec 3.1,3.2 | ex 3.1/2,3,4 3.2/1,3,4 |
| Sept 9 |
Chap 3 sec 3.3 cont'd sec 3.4, 3.5 |
ex 3.3/1,2,6,7 |
| Sept 14 |
Chap 3 sec 3.4, 3.5 |
ex 3.4/1,2 3.5/1,2,4,6,7 |
| Sept 21 |
Chap 2 sec 1.1,1.2,1.3 |
ex 1.2/1,,3,4,6 |
| Sept 23 |
Chap 2 sec 1.3,1.4 |
ex 1.4/1,2,3 |
| Sept 28 |
Chap 2, sec 2 |
ex 2.3/3,4,5 2.4/2,3,6 |
| Sept 30 |
Chap 2 sec 3 |
3.2/1,2 3.4/1,3,5,6 |
| Oct 5 |
Chap 3 sec 2.1,2.2,2.3 |
Read Chap 3 sec 1 on your own |
| Oct 7 |
Chap 3 sec 2.3,2,4 |
ex 2.2/1,2,3 |
| Oct 12 |
Chap 3 sec 4.2,4,3,4.4 |
Ex sec 4.2 1,3,5,6 |
| Oct 14 |
Finish Chap 3, begin Chap 4 | Ex sec 4.3 2,3 |
| Oct 19 |
Chap 4 sec 1.1,1.2,1.3 | Ex sec 1.3 1,2,5,6 |
| Oct 21 | Chap 4 sec 1.4,1.5 | Ex sec 1.3 7,8 |
| Oct 26 | Chap 4 sec 2.1,2.2 | Ex sec 2.1, 2, and 2.2, 1,3 |
| Oct 28 | Chap 4 sec 2.3 | Ex Sec 2.3, 1,2,3,4 |
| Nov 2 | Chap 4 Sec 3.1,3.2 | Ex sec 3.2, 1,2,4 |
| Nov 4 | Chap 4 Sec 3.4,3.5 | Ex sec 3.4, 1,3 3.5, 2,3,5 |
| Nov 9 | Chap 4 Sec 4.1, 4.2, 4.3 | Read ahead |
| Nov 11 | Chap 4 sec 4.4, 4.5, 4.6, 4.7 | Chap 4 sec 4.7, 2,3,4,5 |
| Nov 13 | Chap 4 sec 5.1, 5.2 | Chap 4 sec 5.2, 1,3 |
| Nov 16 | Chap 4 sec 5.3 | Chap 4 sec 5.3, 1a,c,e,f, 3 a,c,e,g,i |
| Nov 18 | Chap 4 sec 6.1, 6.2 | Chap 4 sec 6.2, 1,2 |
| Nov 23 | Chap 4 sec 6.3 | |
| Nov 30 | Chap 4 sec 6.4 | Chap 4 sec 6.4 2,4,5,6 |
| Dec 1 | Chap 4 sec 6.5 | Chap 4 sec 6.5 1,3,4 |
| Dec 7 | Chap 5 (Prof Fisher) | |
| Dec 9 | Chap 5 cont'd (Prof Fisher) |