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Winter 2016 Graduate Calendar
MATHEMATICS AND STATISTICS
THE DOCTOR OF PHILOSOPHY DEGREE IN MATHEMATICS AND STATISTICS
Admission Requirements
For admission requirements and period of study, the general regulations of the Faculty of Graduate Studies should be consulted (see the section titled, The Degree of Doctor of Philosophy ). Qualifying examinations will not normally be required.
CANDIDACY
Students will be recommended for candidacy (see section titled, The Degree of Doctor of Philosophy - Admission Requirements) only after successful completion of the Comprehensive Examinations and course work.
Program Requirements for the Ph.D. (Statistics Field)
1)
Course Work:
Students admitted with an M.Sc. or equivalent must successfully complete at least four graduate courses numbered with the prefix 65-; further graduate courses may be assigned by the Graduate Studies Committee in consultation with the advisor. Transfer credits will not be allowed. (Up to two courses prefixed 65- may be replac
ed by 62-510 and/or 62-511.)
Students admitted with an Honours B.Sc., or equivalent, which is done only in exceptional cases, must successfully complete at least twelve graduate courses, eight of which must be numbered with the prefix 65-; further graduate courses may be assigned by the Graduate Studies Committee in consultation with the advisor. Transfer credits will not be allowed.
It is strongly recommended that all Ph.D. students in Statistics take a measure theoretic probability course.
Students registered in the Dissertation are required to register in Seminar 65-795. Students must attend no less than 75 percent of all seminars in the first 3 years. Every doctoral student is required to give a presentation prior to dissertation defense.
2)
Doctoral Committee:
within the student's first term of study at the doctoral level, a doctoral committee will be appointed by the Head of the Department upon the advice of the Graduate Studies Committee. The doctoral committee must be approved by the Executive Committee of the Faculty of Graduate Studies and Research. The doctoral committee shall include the student's advisor as chairperson, at least two other members of the Department, one faculty member from outside the Department, and an external examiner, who shall not be involved in the preparation of the dissertation. The selection of the external examiner is subject to the approval of the Dean of Graduate Studies and Research. Members of other departments may also be invited to join the committee (see section titled, The Degree of Doctor of Philosophy - Program Requirements).
3)
Dissertation:
The dissertation shall be defended at an oral examination (see section titled, The Degree of Doctor of Philosohy - Program Requirements).
1)
Course Work:
Students admitted with a MSc. or equivalent must successfully complete at least two graduate level courses from any of the following areas of mathematics: Algebra, Analysis, and Operational Research. All course selections require the approval of the student’s Doctoral committee, the supervisor, or the departmental graduate committee. The student may be required to take additional courses as stipulated by the student's Doctoral committee.
Students are required to register in Seminar 62-795. Students must attend no less than 20 seminars. Every doctoral student is required to give a presentation to the department prior to dissertation defense.
2)
Doctoral Committee:
within the student's first term of study at the doctoral level, a doctoral committee will be appointed by the Head of the Department upon the advice of the Graduate Studies Committee. The doctoral committee must be approved by the Executive Committee of the Faculty of Graduate Studies. The doctoral committee shall include the student's advisor as chairperson, at least two other members of the Department, one faculty member from outside the Department, and an external examiner, who shall not be involved in the preparation of the dissertation. The selection of the external examiner is subject to the approval of the Dean of Graduate Studies. Members of other departments may also be invited to join the committee (see section titled, The Degree of Doctor of Philosophy - Program Requirements).3)
Dissertation:
The dissertation shall be defended at an oral examination.(see section titled, The Degree of Doctor of Philosophy - Program Requirements).4)
Comprehensive Examinations:
A student must pass a series of three written comprehensive examinations two of which must be chosen from the following areas: Algebra, Analysis and Operational Research. The third exam, which may be written or oral, is in the area of specialization to be set by the student’s doctoral supervisor and doctoral committee.
If a student fails an examination, it may be repeated once, but if the examination is failed a second time, the student must withdraw from the program (see section titled, The Degree of Doctor of Philosophy - The Dissertation). In any case, these examinations must be successfully completed within twenty-five months of first registration in the doctoral program. If this deadline is not met, the student must withdraw from the program.
4)
Comprehensive Examinations:
A student must pass a series of three written comprehensive examinations as follows:
i.Paper I-Mathematical Statistics and Probability
ii.Paper II-Statistics OR Probability
iii.Paper III-Topics (two topics mutually agreed upon by the advisor and student).
If a student fails an examination, it may be repeated once, but if the examination is failed a second time, the student must withdraw from the program (see section titled, The Degree of Doctor of Philosophy - The Dissertation). In any case, these examinations must be successfully completed within twenty-five months of first registration in the doctoral program. If this deadline is not met, the student must withdraw from the program.
Program Requirements for the Ph.D. (Mathematics Field)
1)
Course Work:
Students admitted with a MSc. or equivalent must successfully complete at least two graduate level courses from any of the following areas of mathematics: Algebra, Analysis, and Operational Research. All course selections require the approval of the student’s Doctoral committee, the supervisor, or the departmental graduate committee. The student may be required to take additional courses as stipulated by the student's Doctoral committee.
Students are required to register in Seminar 62-795. Students must attend no less than 20 seminars. Every doctoral student is required to give a presentation to the department prior to dissertation defense.
2)
Doctoral Committee:
within the student's first term of study at the doctoral level, a doctoral committee will be appointed by the Head of the Department upon the advice of the Graduate Studies Committee. The doctoral committee must be approved by the Executive Committee of the Faculty of Graduate Studies. The doctoral committee shall include the student's advisor as chairperson, at least two other members of the Department, one faculty member from outside the Department, and an external examiner, who shall not be involved in the preparation of the dissertation. The selection of the external examiner is subject to the approval of the Dean of Graduate Studies. Members of other departments may also be invited to join the committee (see section titled, The Degree of Doctor of Philosophy - Program Requirements).3)
Dissertation:
The dissertation shall be defended at an oral examination.(see section titled, The Degree of Doctor of Philosophy - Program Requirements).4)
Comprehensive Examinations:
A student must pass a series of three written comprehensive examinations two of which must be chosen from the following areas: Algebra, Analysis and Operational Research. The third exam, which may be written or oral, is in the area of specialization to be set by the student’s doctoral supervisor and doctoral committee.
If a student fails an examination, it may be repeated once, but if the examination is failed a second time, the student must withdraw from the program (see section titled, The Degree of Doctor of Philosophy - The Dissertation). In any case, these examinations must be successfully completed within twenty-five months of first registration in the doctoral program. If this deadline is not met, the student must withdraw from the program.
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