Past Comprehensive Exams

Posted below are old comprehensive exams for the PhD program in Math going back to 2001. The answers to the post 2015 exams are posted on the School's Intranet. The names in the brackets refer to the writers of the exams (who also graded the exams), and the numbers indicate the ratio of students who passed the exams. Prior to the Spring of 2015, comprehensive exams were offered only in two subject areas.

Fall 2018

Spring 2018

Fall 2017

Spring 2017

Fall 2016

Spring 2016

Fall 2015

Spring 2015

Practice problems for the new comprehensive exams

Fall 2014

Spring 2014

Fall 2013

Spring 2013

Fall 2012

Spring 2012

Fall 2011

Spring 2011

Fall 2010

Spring 2010

Fall 2009

Spring 2009

Fall 2008

Spring 2008

Fall 2007

Spring 2007

Fall 2006

Spring 2006

Fall 2005

Spring 2005

Fall 2004

Spring 2004

Fall 2003

Spring 2003

Fall 2002

Fall 2001