MAT 334 Complex Variables Section 5101

Instructor: Stefan Dawydiak

Lecture times: Tuesdays 18:00– 21:00 Toronto time (GMT-5)

Lecture location: MP 202. The first three lectures will be held on Zoom. The Zoom link is on the Quercus page.

Office hours: Wednesdays 11:00– 12:00

Office hours location: Zoom, hopefully to be supplemented eventually by office hours in HU1029. The Zoom link is on the Quercus page.

This is the homepage for our section. It will be updated nearer to the beginning of the course. The main course homepage, which contains general information about both lecture sections, and all tutorials and TA office hours, is here. The course Quercus page, which contains all Zoom links, is here. These links can also be found in the course syllabus, available on the main course page.

Announcements:

• After tutorials on April 6, the course is finished. There is no final exam and there are no further tests. Good luck on any exams you may have!
• You may be interested in the website https://razomforukraine.org/
• Starting February 8, lectures will be in MP 202. A stream of the blackboard will be available for every lecture except those with in-person tests. Test 5, shown on the syllabus as in-person, will be held ONLINE as it falls during the transition period.
• There is a volunteer note taker position available for this course. Please see this for information about how to volunteer.
• Lecture notes and recordings will now be available for one week, rather than just 24 hours.
• Please follow the link to more information about Recognized Study Groups (RSGs)

Lecture summaries:

• Tuesday January 11:
We covered sections 1.1 and 1.2 from the textbook, and started 1.3. Next week, we will cover sections 1.3 and 1.4. The (corrected) lecture notes are available here. for one week. A recording of the lecture is available here for one week.
• Tuesday January 18:
We covered section 1.3 from the textbook, and discussed the extended complex plane. Next week, we will cover sections 1.4 and 1.5, and start 1.6. The lecture notes are available here. for one week. The second sheet of the notes is attached at the end. A recording of the lecture is available here for one week.
• Tuesday January 25:
We covered section 1.4 and 1.5 from the textbook. Next week, we will cover sections 1.6 and 2.1. The expanded lecture notes are available here. for one week. A recording of the lecture is available here for one week.
• Tuesday February 1:
We covered section 1.6 from the textbook and started 2.1. Next week, we will cover 2.1 and 2.2, and start 2.3 The lecture notes are available here. for one week. See also p. 61 of the textbook. A recording of the lecture is available here for one week. A historical overview of controversy surrounding Jordan's proof of the Jordan curve theorem, as well as an account of the proof itself, can be read at here.
• Tuesday February 8:
We covered sections 2.1 and 2.2 from the textbook, as well as the fundamental theorem of calculus for functions of a complex variable. Next week, we will cover 2.3 and 2.4. The lecture notes are available here. for one week, with added detail on the proof of differentiability of power series. A recording of the lecture is available here for one week.
• Tuesday February 15:
We covered section 2.3 and started 2.4 from the textbook. After reading week, we will finish 2.4 and start section 2.5. The lecture notes are available here. for two weeks. A recording of the lecture is available here for two weeks.
• Tuesday February 23:
Reading week, no lecture!
• Tuesday March 1:
We covered section 2.4 and started 2.5 from the textbook. Next week, we will finish section 2.5 and start 2.6. The lecture notes are available here. for one week, with added detail on the proof of differentiability of power series. A recording of the lecture is available here for one week.
• Tuesday March 8:
We finished section 2.5 and started 2.6 from the textbook. Next week, we will finish section 2.6 and start section 3.1. The lecture notes are available here. for one week. As the video setup did not work this week, there is no recording.
• Tuesday March 15:
We returned to section 2.5 to discuss Laurent series, and covered more of section 2.6 from the textbook. Next week, we will finish section 2.6 and start section 3.1 and 3.2. The lecture notes are available here. for one week. A recording of the lecture is available here for one week.
• Tuesday March 22:
We returned finished section 2.6 from the textbook and started section 3.1. Next week we will finish sections 3.1 and 3.2, and start 3.3. The lecture notes are available here. for one week. A recording of the lecture is available here for one week.
• Tuesday March 29:
We finished section 3.1 from the textbook and almost finished 3.2. Next week we will finish sections 3.1 and 3.2, cover part of 3.3, and have a surprise special topic to mark the end of course (and the lack of final exam). The lecture notes are available here. for one week. There is not recording of the lecture this week as the video equipment was not working.
• Tuesday April 5:
We covered part of 3.3, and gave a mostly-complete proof of Picard's little theorem as a special topic. The lecture notes are available here. for one week. The lecture recording is available here .