# Preliminary Exams

## Admission CTAs

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## Section Navigation: Graduate Programs

**Preliminary Exams in Mathematics**

PhD students are required to pass three preliminary exams in mathematics. Students for whom core courses have been waived must still take preliminary exams. MS students may pass three preliminary exams to satisfy the creative component of their degree. The topics of the exams are

**Algebra****Linear Analysis****Numerical Analysis****Ordinary Differential Equations****Topology**

PhD students are required to take 4 of 5 *core courses,* one of which must be MATH 675. The core courses are

**MATH 675 (Linear Analysis)****MATH 621 (Algebra)****MATH 631 (Topology)****MATH 677 (Ordinary Differential Equations)****MATH 685 (Numerical Analysis)**

## Information about the Spring 2020 Preliminary Exams

**IMPORTANT:** The Spring Preliminary Exams have been postponed and all five will (hopefully) take place in late August the week before classes start.

If you wish to take any of the exams please email Dr Lamba (hlamba@gmu.edu) by "TBD" specifying which exam(s) you wish to take and whether you are currently taking the course or, if not, when you passed it.

## Syllabi for Preliminary Exams

- Algebra
- Linear Analysis
- Ordinary Differential Equations
- Numerical Analysis
- Topology (updated Spring 2020 -- the previous syllabus is here ).
## Previous Exams

(The list is complete up to January 2020 — some semesters some exams were not offered)

### Algebra

- August 2006
- January 2007
- August 2007
- January 2008
- August 2008
- January 2009
- January 2010
- August 2010
- January 2011
- August 2011
- January 2012
- August 2012
- August 2013
- January 2014
- August 2014
- January 2015
- August 2015
- January 2016
- August 2016
- January 2017
- August 2017
- January 2018
- August 2018
- January 2019
- August 2019
- December 2019

### Linear Analysis

- August 2006
- January 2007
- August 2007
- January 2008
- August 2008
- January 2009
- August 2009
- January 2010
- August 2010
- January 2011
- August 2011
- January 2012
- August 2012
- August 2013
- January 2014
- August 2014 - The original version had a typo in problem 2(b), so that question is different here (and did not count for the actual prelim).
- January 2015
- August 2015
- January 2016
- August 2016
- January 2017
- January 2018
- August 2018
- January 2019
- August 2019
- December 2019

### Numerical Analysis

- January 2011
- August 2011
- January 2012
- August 2012
- January 2013
- August 2013
- January 2014
- August 2014
- August 2015
- January 2016
- August 2016
- January 2017
- August 2017
- January 2018
- August 2018
- January 2019
- August 2019
- December 2019

### Ordinary Differential Equations

- August 2006
- January 2007
- August 2007
- January 2008
- January 2009
- August 2009
- January 2010
- January 2011
- August 2011
- January 2012
- January 2013
- August 2013
- January 2014
- August 2014
- January 2015
- August 2015
- January 2016
- August 2016
- January 2017
- January 2018
- August 2018
- January 2019
- August 2019
- January 2020

### Topology