Passing grades on two General Examinations, chosen from Algebra, Analysis, and Topology. These written exams cover the following material: Algebra (MATH 7751, 7752), Analysis (MATH 7310, 7340), and Topology (MATH 7820, 7800). The Analysis exam is split into two parts: Complex and Real, which are taken and graded independently.

These exams are typically offered twice a year, January and August. Students are expected to attempt two different general examinations by August of their second year, to pass at least one general examination by January of their second year, and to pass both exams by January of the student's third year. A student may repeat the examinations as many times as needed in order to satisfy these requirements.

Current syllabi for the Algebra, Analysis, and Topology General Examinations:

- Syllabus for Algebra General Exam
- Syllabus for Analysis General Exam
- Syllabus for Topology General Exam

Below are old exams and study materials for each of the subfields.

- August 2022
- January 2022
- August 2021
- January 2021
- August 2020
- January 2020
- August 2019
- January 2019
- August 2018
- January 2018
- August 2017
- January 2017
- August 2016
- January 2016
- August 2015
- August 2014
- January 2014
- August 2013
- January 2013
- August 2012
- January 2012
- August 2011
- January 2011
- August 2010
- August 2009
- January 2009
- August 2008
- January 2008
- August 2007
- January 2007
- August 2006
- January 2006
- August 2004
- January 2004
- August 2003
- May 2003
- Exams 1981-2002

Here is an updated Review Guide for algebra general exams (includes old exam problems sorted by topics up to and including Jan 22 exam).

- August 2022, complex part
- August 2022, real part
- January 2022, complex part
- January 2022, real part
- August 2021, complex part
- January 2021, real part
- August 2020, complex part
- August 2020, real part
- January 2020, complex part
- January 2020, real part
- August 2019, complex part
- August 2019, real part
- August 2017
- January 2017
- August 2016
- August 2015
- August 2014
- August 2013
- January 2013
- August 2012
- August 2011
- January 2011
- August 2010
- January 2010
- August 2009
- January 2009
- August 2007
- Exams 1977-2004