Qualification Exam
Master's Degree
Master's students must pass the Qualification Examination (EQM), which consists of three written tests, whose contents are contained in the menus of the disciplines MM719 (Linear Algebra), MM720 (Analysis in R (n)), MM453 (General Topology ). These exams are offered twice a year. The candidate will take this exam during the first year of the program.
PhD Degree
For PhD students, the Qualification Exam will consist of two phases:
The first phase of the QE consists of three written tests, one in each basic area, with subjects chosen by the candidate from: Algebra (MM427, MM439, MM444), Analysis (MM425, MM591, MM692) and Geometry / Topology (MM423, MM447, MM448). These exams are offered twice a year. The candidate will take this exam during the first year of the program.
The second phase of the QE will consist of an oral exam on topics in the student's area of interest, chosen in agreement with their Program (or Thesis) Advisor. The student will take this exam only once, at most 12 months after passing the first phase of the QE. Click here for more information.
Courses contained in the Qualification Exam
(See the Program and Bibliography of Courses in the Current Catalogue)
Master's Degree
- Algebra:
MM 719 - Linear Algebra
- Analysis:
MM 720 - Analysis in Rn
- Geometry/Topology:
MM 453 - General Topology
PhD Degree
- Algebra
MM 427 - Commutative Algebra
MM 439 - Lie Algebras
MM 444 - Non-Commutative Algebra
- Analysis
MM 425 - Functional Analysis I
MM 591 - Fourier Analysis and Distributions
MM 692 - Real Analysis II
- Geometry/Topology
MM 423 - Riemannian Geometry
MM 447 - Introduction to Algebraic Topology
MM 448 - Lie Groups
Past Qualifying Exams
Master's Course
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| 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 |
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PhD Course
| 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 | 2007 | 2008 | 2009 |
| 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 |
| Jul Dec |
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