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The purpose of each qualifying exam is to ensure that a graduate student
has obtained good communication skills to present mathematical results
and ideas in writing; enough mathematical maturity to read, understand
and demonstrate creative thinking in that area, and a solid technical
background specific to that particular area. Most of our Master programs
require two exams, which will provide a reasonably deep knowledge in more
than one area.
Core courses are scheduled so that a student can take the written
examination after his/her first year. The exam is graded using a Pass or
Fail system. If a student fails a particular area he must retake the exam
in that area. He/she will be allowed to retake it only one more time. If the student is unable to pass that
area in his second attempt he/she will be automatically out of the
program.
Important: It is the student’s
responsibility to cover all the topics of each area.
In the following links you will find a description of each
examination area. We have included a list of topics, which represents the
major topics of each area. It is understood that you should also know the
basic material related to each major topic. We have also included a list
of bibliographic references of varying difficulty, some of which include
the text books used in class, as well as other important references.
Description of examination areas
·
Algebra
·
Algorithms
·
Analysis
·
Applied Statistics
·
Numerical Analysis
·
Numerical Linear Algebra
·
Theoretical Statistics
·
Topology
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