Mathematics
Program Requirements
A doctor of philosophy (PhD) candidate is normally required to complete the master of science (MSc) requirements (either the thesis or the project option) and at least 12 further graduate units.
Of these, at least eight units should be from courses numbered 800 or above. Subject to the approval of the department鈥檚 graduate studies committee, a PhD candidate with an MSc degree is deemed to have completed the MSc requirements for the purpose of the PhD program requirements.
The graduate course work should normally involve at least four different areas of mathematics subject to the approval of the student鈥檚 supervisory committee and the department鈥檚 graduate studies committee.
Courses
Seven hundred division courses may be offered in conjunction with a 400 division course. Students may not complete a 700 division course if it is offered in conjunction with a 400 division course which they have completed previously.
Examination and Thesis Proposal
Candidates normally pass a two stage general exam. The first stage consists of successful completion of a comprehensive exam by enrolling in
A comprehensive written examination covering a broad range of senior undergraduate and graduate material. Graded on a satisfactory/unsatisfactory basis.
In the second stage, students present their supervisory committee with a written thesis proposal and then the student defends it at an open oral defence by enrolling in
The supervisory committee evaluates the thesis proposal and defence, and passes or fails the student. A candidate cannot complete either the general exam or the second stage more than twice. Both stages must be completed within six full-time terms of initial enrolment in the program.
Thesis Defence
Students must submit and successfully defend a thesis which embodies a significant contribution to mathematical knowledge by enrolling in
The supervisory committee evaluates the thesis proposal and defence, and passes or fails the student. A candidate cannot complete either the general exam or the second stage more than twice. Both stages must be completed within six full-time terms of initial enrolment in the program.
Operations Research Stream
A PhD candidate is normally required to complete the MSc requirements and at least 12 further graduate units. Of these, at least eight units must be from courses numbered 800 or above. Subject to the approval of the department's graduate studies committee, a PhD candidate with an MSc degree is deemed to have completed the MSc requirements for the purpose of the PhD program requirements.
Candidates normally pass a two-stage general exam. The first stage consists of successful completion of
A written examination covering a broad range of senior undergraduate and graduate mathematical material commonly used in Operations Research. Graded on a satisfactory/unsatisfactory basis.
In the second stage, students present to their supervisory committee a written thesis proposal and then defend it at an open oral defence by enroling in
The supervisory committee evaluates the thesis proposal and defence, and passes or fails the student. A candidate cannot attempt either general exam stage more than twice. Both stages must be completed within six full-time terms of initial enrolment in the program.
Students must submit and successfully defend a thesis which embodies a significant contribution to mathematical knowledge, by completing
See the for further information.
Academic Requirements within the Graduate General Regulations
All graduate students must satisfy the academic requirements that are specified in the , as well as the specific requirements for the program in which they are enrolled, as listed above.