Etcheverry 3111, Tuesdays and Thursdays from 15:30-17:00 AM
Mondays 11-12 am, Fridays 11-12am Evans Hall 859
If you have any questions about the course and matherial please come see me.
Please email me and ask for appointment if the office hours time is not convenient for you.
T.Gamelin, Complex Analysis,
E. Stein and R. Shakarchi, Complex Analysis
Grading: 20% Homework, 40% Midterms, 40% Final.
Bryan Gillespie will be helping with questions and proble solving. His hours are:
Wednesdays, 12-2 and 3-5 in 939 Evans
Thursdays, 2-5 in 939 Evans
Fridays, 2-5 in 939 Evans
There will be one homework every one or two weeks. They will be posted on this page together with the due date. Late homework will not be accepted under any circumstance. However, your one lowest homework grade will not be included in the final grade calculation. Discussing of the problems with other students is encouraged.
There will be two midterm exams on Feb 13 and April 3. The midterms will be in class. The final exam is on Friday, May 11th, 7-10pm; same place. In the case of a fire alarm during either of the midterms or the final exam, leave your exams in the room, face down, before evacuating. Under no circumstances should you take the exam with you.
If you have a documented disability and require special accommodations of any kind, please e-mail me as soon as possible, and no later than February 1.
Numbers in the reading section correspond to T.Gamelin book.
| # | Date | Topic | Readings | Hw | Notes |
| 1 | 1/16 | Introduction, basics of complex numbers | 1, 2 | HW1 Out | |
| 2 | 1/18 | Analytic funcrions, mappings, exponent | 3-8 | ||
| 3 | 1/23 | Square roots, exponentials, logarithm | 1-8 | HW2 Out | |
| 4 | 1/25 | Trigonometric fucntions | 1-8 | ||
| 5 | 1/30 | Analutic functions, CR equations | II.2-II.5 | HW3 Out | |
| 6 | 2/1 | Harmonic fucnions, confromal mappings | II.2-II.5 | ||
| 7 | 2/6 | Harmonic fucnions, confromal mappings | II.2-II.7 | HW4 Out | |
| 8 | 2/8 | Fractional linear transformations | II.2-II.7 | ||
| 9 | 2/13 | Midterm 1 | I.1-II.7 | ||
| 9 | 2/15 | Line integrals | III.1 | ||
| 10 | 2/20 | Complex integrals | IV.1- IV.4 | HW5 Out | |
| 11 | 2/22 | Complex integrals | IV.1- IV.4 | ||
| 12 | 2/27 | Evaluating real integrals by residues | VII.2 | HW6 Out | |
| 13 | 3/1 | Evaluating real integrals by residues | VII.3 | ||
| 14 | 3/6 | Integrals with branch points | VII.4 | HW7 Out | |
| 15 | 3/8 | Fractional residues | VII.4 | ||
| 16 | 3/13 | Infinite series, sequences | V.1, V.2 | HW8 Out | |
| 17 | 3/15 | Power series | V.3 | ||
| 18 | 3/20 | Manipulation of power series | V.4-V.6 | ||
| 19 | 3/22 | Zeroes and analytic continuation | V.7-V.8 | ||
| 20 | 3/27 | Spring Recess | HW9 Out | ||
| 21 | 3/29 | Spring Recess | |||
| 22 | 4/3 | Midterm 2 | |||
| 23 | 4/5 | Laurent Decompositions | VI.1 | ||
| 24 | 4/10 | More about singularities | VI.2.3 | ||
| 25 | 4/12 | Mittag-Leffler | XIII.2 | HW10 Out | |
| 26 | 4/17 | partial factions decompostitions | XIII.2 | ||
| 27 | 4/19 | Infinite products | XIII.3 | ||
| 28 | 4/24 | Infinite products | XIII.3 | HW11 Out | |
| 29 | 4/26 | Product theorem | XIII.4 | ||
| 30 | 5/1 | ||||
| 31 | 5/3 |