Qualifying Exams

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

2000 2001 2002 2003 2004 2005 2006 2007 2008 2009
                   
2010 2011 2012 2013 2014 2015 2016 2017 2018 2019
Jul
Dec
Jul
Dec
Jul
Dec
Jul
Dec
Jul Feb
Jul
Jul

Feb
Jul

Feb
Jul

Feb
Jul
                   

PhD Course

2000 2001 2002 2003 2004 2005 2006 2007 2008 2009
                   
2010 2011 2012 2013 2014 2015 2016 2017 2018 2019
Jul
Dec
Jul
Dec
Jul
Dec
Jul
Dec
Jul Feb
Jul
Jul

Feb
Jul

Feb
Jul
Feb
Jul
Responsável pelas informações nesta página: