Below is a list of the historical complex analysis problems from the UCLA analysis qualifying exam that, week-by-week, I believe we have developed enough theory to solve. I include in this list problems which require some extra material from other subjects, notably some general facts from real analysis and, occasionally, algebraic topology.
I have not carefully checked that every problem listed here really can be solved with current material, so there may be some errors. In particular, I may at one point list a problem as solvable and later (when the same problem appears on a later exam) list it as unsolvable.
The list starts at Week 7, because that's when I first put the list together.
Exam | Solvable problems |
---|---|
Fall 2001 | C2,C3,C4,C5 |
Fall 2002 | 12,13,14,15 |
Spring 2002 | 10,11,12,14 |
Winter 2002 | 9,10,12 |
Fall 2003 | 8,10,12 |
Winter 2003 | 10,11,12 |
Fall 2004 | 8 |
Winter 2004 | CA1,CA2,CA3,CA5 |
Fall 2005 | C1,C3,C4,C5 |
Fall 2006 | 7,9 |
Spring 2006 | 7,8,9,10 |
Fall 2007 | 13 |
Winter 2007 | 7,9,11,12 |
Fall 2008 | 8,11,12 |
Spring 2008 | 9,10,12 |
Fall 2009 | 8,9 |
Spring 2009 | 7,8,11 |
Fall 2010 | 7,8,9,11 |
Spring 2010 | 6,8,12 |
Fall 2011 | 7,9,11,12 |
Spring 2011 | 7,9 |
Fall 2012 | 2,8,9,10,11 |
Spring 2012 | 9,10,11,12 |
Fall 2013 | 1,2,3 |
Spring 2013 | 5,7,9,12 |
Fall 2014 | 8,9 |
Spring 2014 | 7,9,10 |
Fall 2015 | 7,8,10 |
Spring 2015 | 8,10,11,12 |
Fall 2016 | 9,11,12 |
Spring 2016 | 7,9,10,11 |
Fall 2017 | 8,9,12 |
Spring 2017 | 8,10,11 |
Fall 2018 | 7,9,10 |
Spring 2018 | 7 |
Fall 2019 | 7,8,10,12 |
Spring 2019 | 10 |
Spring 2020 | 10,11 |