Doctoral (PhD) Thesis-based

The degree must be completed on a full-time basis. The expected completion time is 4 years.

Faculty of Graduate Studies HANDBOOK on Doctoral Rules and Regulations

This degree must be completed on a full-time basis.

For holders of a Master's degree, there is a requirement of 2 years of full-time study and for others is 3 years

Requirements (in addition to Faculty of Graduate Studies)

• Master's degree or equivalent, with an adequate background in Mathematics or Statistics in the subject of the division for which application is made.
• Minimum GPA 3.00 (on a 4-point system) over the last 2 full years of Bachelor's degree including all grades from Master's degree
• Performance Level: MUST maintain a minimum cumulative Grade Point Average (GPA) of 3.00 calculated on a 4-point scale at the end of each registration year and cannot have more than two grades of B- or below
• Excellent students, admitted to the Master's program, may be admitted after the first year to the PhD program with three completed half-courses with a 3.7 GPA and Divisional Graduate Committee approval.  Such transfers are to be initiated by Supervisors and are to include information about the research ability.

Completion Time

Expected time is 4 years, maximum time is 6 years

Advanced Credit

MUST BE applied for at time of application; graduate level course with B grade or higher within the past 5 years from a recognized institution; not part of another degree; not exceed 1/3 of graduate program

Required Courses

Exemption from compulsory courses may be made by the Graduate Studies Divisional Committee on the basis of prior graduate work.

Course requirements for the Doctor of Philosophy beyond those for a Master's degree are determined on an individual basis, but the following rules apply:

APPLIED MATHEMATICS must include 8 half-course equivalents in their total graduate program (MSc and Phd); including the equivalents of 2 of AMAT 605, AMAT 617, PMAT 607, PMAT 611; and, in each of the first three years of their program, the seminar course AMAT 621

PURE MATHEMATICS must include 8 half-course equivalents in their total graduate program (MSc and PhD); including the equivalents of 2 of AMAT 605, AMAT 617, PMAT 607, PMAT 611; and, in each of the first three years of their program, the seminar course PMAT 621

STATISTICS students must include 8 half-course equivalents in their total graduate program (MSc and PhD); including the equivalent of STAT 701, STAT 721, STAT 723; and, in each of the first three years of their program, the seminar course STAT 621

Required Examinations

WRITTEN PRELIMINARY EXAMS: MUST be written and passed within 16 months from the start of their doctoral program and before their Oral Candidacy. Exams take place in May. Topics for each division are:

Applied Mathematics: Complex Analysis, Differential Equations, Linear Algebra, Real Analysis

Pure Mathematics: Linear Algebra, Complex Analysis, Real Analysis, Topology

Statistics: Statistics I, Statistics II, Probability I, Probability II

ORAL CANDIDACY EXAM:   At least three months before a PhD Oral Candidacy Examination, a research proposal (prepared by Student and Supervisor) will be submitted to the student's Supervisory Committee.  The Committee will inform the student of the material (topics, books, articles, etc) to be mastered for the Oral Candidacy Examination.  The material will be based upon the proposal, and will be agreed upon with the student.

MUST be taken and passed no later than 28-months from start of doctoral program. MUST have passed their written preliminary examinations and completed all course work before exam can be booked.

THESIS ORAL EXAM: Student MUST write a thesis and pass a thesis oral exam. Thesis must be completed before exam is booked.

For further details on examination rules see Faculty of Graduate Studies HANDBOOK