Final exam posted.
A list of facts about conformal functions and mappings which might be useful in the final.
Final topics and some practice problems, and their solutions. See also Midterm practice problems.
Requested recording of part of office hours session. Password: 7w$ul#@X
An excellent source on the conformal material we covered.
Recording of last (optional) lecture. Password: 1I@v^g%@
Recording of April 29 lecture (proving limit of injective holomorphic functions is injective or constnat). Password 7j#a943r
Worksheet 9, on finishing the proof of the Riemann mapping theorem, posted.
Recording of April 27 lecture. Password 0e#wye*5
Recording of April 24 lecture. Password is 5.I.@.Y.=.t.2.Z (remove dots).
Worksheet 8, on conformal maps from the sphere to itself, posted.
The updated syllabus is posted. We are transitioning from lectures to working on "daily worksheets" that will walk you through the theorems of the course. Stay tuned for more information about coronavirus changes!
Recording for optional (not on final) lecture day 9, on toruses and conformal maps. Password: 7.U.?.c.t.=.?.H but remove all dots. Worksheet (also not on final) will be posted soon.
Recording for day 8 (no worksheet today). Password oa1a?a=amana.a= but remove all instances of the letter "a".
Worksheet 7 Posted. Solutions.Video recording. Use password K.9.^.0.g.^.i.z (remove all dots first)
Worksheet 6 Posted.
Worksheet 5 Posted.
Worksheet 4 CORRECTED (another official worksheet) Posted!
Worksheet 3 (another official worksheet) Posted!
Second official worksheet Posted!
First official worksheet Posted!
Worksheet 2 Posted!
Worksheet 1 Posted!
With solutions/hints.Welcome to Math 185!
Syllabus. Highlights: •Section 007 meets MWF at 2-3 in Cory 241. Section 002 meets MWF at 3-4 in Cory 247. •Homeworks due Wednesdays. •OH Mondays 4:30-5:30 and Wednesdays 10:30-11:30 •Midterm in class on March9. •Final on May 12 11:30-2:30 (007) and May 13 7-10 (002)
Piazza (question-and-answer site for students). Please email me directly (mylastname@math.berkeley) with important/personal questions.
Midterm posted!
Because of last-minute changes and coronavirus anxieties the midterm is postponed, and will be available as either a take-home exam or an online time-limited exam later this week.
Dmitry is feeling sick and class/review are unfortunately cancelled today (March 6). The exam will be on Monday as planned, with options for taking it remotely offered. Review topics will be posted shortly.
Practice exams: One (corrected), Two, Three. Solutions..
Homework solutions (the links to some of these got lost, but are now permanently at the bottom of the page): PSet 1, PSet 2, PSet 3, PSet 4, PSet 5, PSet 6.
Piazza link fixed and syllabus has been corrected.
Extra office hours Friday 1/31, 11-12.
Wednesday OH changed to 11-12 (may frequently stretch until 12:30).
Sixth homework posted. See Latex template.
For best results, please do the readings before the class they are assigned for. Keep in mind: one page of math takes me as long to read as 5-10 pages of ordinary text.
| Date | Readings | Supplementary Resources |
|---|---|---|
| 1/24 1/27 | Stein chapter 1.1 (take a look at the first part of 1.2) | Gamelin chapter I sections 1-5 (necessary reading for anyone unfamiliar with polar notation of complex numbers and complex exponents) |
| 1/29 | Stein, chapter 1.2 | |
| 1/31 | Continue Stein chapter 1.2 | Gamelin, 2.1-2.3 (note: Gamelin uses "analytic" for the term we denote "holomorphic".) |
| 2/3 | Stein, chapter 1.3 | |
| 2/10 | Stein, chapter 2.1 | |
| 2/12 | ||
| 2/19 | Stein, chapter 2.2 | See Chapters 3 and 4 in these notes. |
| 2/24 | Stein, chapter 2.3, 2.4 | |
| 2/26 | Finishing 2.4 and starting 3.1 | See Chapter 7 in these notes. |
| 2/26 | Stein, chapter 3.2 | See Chapter 8 in these notes. |
Pset 1, Pset 2, Pset 3, Pset 4, Pset 5, Pset 6.