MMA150 V22 Komplexanalys i flera variabler
This page contains the program of the course: lectures, homework assignments and recommended exercises. Other information, such as learning outcomes, teachers, literature and examination, are in a separate course PM.
Preliminary program
The schedule of the course is in TimeEdit. The current plan is that the lectures will all be on campus (only).
Lectures
| Week | Days (Who) | Sections | Content |
|---|---|---|---|
| 1 |
21/3 (EW) |
L 1.1-1.4 | Basic definitions and properties of holomorphic functions. Inequivalence of ball and polydisc |
| 2 | 28/3 (EW) 29/3 (EW) 31/3 (RL) |
L 1.6, 2.1 KW 2.3-2.4, 2.6 |
Riemann extension theorem Reinhardt domains and power series Domains of holomorphy |
| 3 | 4/4 (RL) 5/4 (EW) 7/4 (EW) |
L 2.2-2.3 KW 2.2-2.3 |
Convexity Levi pseudoconvexity |
| 4 |
25/4 (RL) |
L 2.4 KW 8.1-8.3 |
Subharmonicity Plurisubharmonicity |
| 5 | 2/5 (EW) 3/5 (EW) 5/5 (RL) |
L 2.5-2.6 |
Hulls |
| 6 | 9/5 (RL) 10/5 (RL) 12/5 (EW) |
L 4.1-4.3 |
|
| 7 |
16/5 (EW) |
Cousin I problem |
Homework assignments
You hand in the assignment by uploading your solutions under "Assignments" here in Canvas.
Note: The homework assignments are supposed to be handed in individually. You are free to cooperate with other students and to read whatever literature you can find about the subject. However, you are expected to formulate your solutions independently and it is neither allowed to copy from other students nor to copy solutions form any other source.
Recommended exercises
Course summary:
| Date | Details | Due |
|---|---|---|