**2004 - 2005 Calendar**

**Professor and Head of the Department**

H. Gaskill

The degrees of Master of Applied Statistics (see appropriate calendar entry),
Master of Science and Doctor of Philosophy are offered in the Department of
Mathematics and Statistics. The Masters' degrees are offered by full-time
and part-time studies.

**DOCTOR OF PHILOSOPHY**

The following regulations should be read in conjunction with the
GENERAL REGULATIONS.

Admission to the Ph.D. program is limited and competitive. Of
all the requirements listed in the regulations, the writing of the doctoral
thesis is the most important, and a candidate may complete all other
requirements satisfactorily without qualifying for the degree.

The real test is to show ability to attack and solve a significant
mathematical or statistical problem independently and in an original
manner for the thesis. The doctoral thesis must definitely advance the
subject which it treats.

SPECIFIC REGULATIONS FOR THE PH.D. IN MATHEMATICS

SPECIFIC REGULATIONS FOR THE PH.D. IN STATISTICS

1. The Department requires applicants who do not already hold an appropriate
Master's degree (or equivalent) to register for the M.Sc. rather than
for the Ph.D. directly.

2. The candidate normally shall satisfactorily complete at least
6 credit hours from the following list:

ALGEBRA: M6320, M6321

ANALYSIS: M6310, M6311, M6312

APPLIED MATHEMATICS: M6201 or M6212, M6100

COMBINATORICS: M6340, M6341, M6342

TOPOLOGY: M6300 or M6301, M6332

3. The Comprehensive Examination shall consist of two parts, called
hereafter "qualifying review" and "intermediate review", and is subject
to the following regulations. (More detailed information concerning
the content of these examinations may be obtained from the Department).

a) The qualifying review consists of one or more examinations,
written or oral or both, and is to take place as soon as the Supervisory
Committee deems appropriate, but not later than at the end of the candidate's
first year in the doctoral program. Its main purpose is to ensure that
the candidate has a sufficiently broad general knowledge of Mathematics
(especially Analysis, Algebra, and Topology) before beginning work on the
thesis.

b) At a time to be determined by the Supervisory Committee, but
not later than at the end of the candidate's second year in the doctoral
program, the candidate must take the intermediate review, also consisting
of one or more examinations which may be written or oral or both. Its
purpose is to ensure that the candidate has sufficient specialized knowledge
in the area of the proposed research work and related areas.

c) The examinations associated with both the qualifying review
and the intermediate review are general, and are not based on any particular
course.

d) Successful completion of both the qualifying and intermediate
reviews constitutes successful completion of the Comprehensive Examination
in the sense of General Regulation
H.

**SPECIFIC REGULATIONS FOR THE
PH.D. IN STATISTICS**

1. Successful completion of a M.A.S. or M.Sc. program or the equivalent
is a prerequisite for entry into a Ph.D. program.

2. The candidate shall complete satisfactorily a minimum of 6
credit hours in graduate courses other than those courses required for
a M.A.S./M.Sc. Candidates may be required by the Supervisory Committee
to take additional program courses.

3. The comprehensive examination shall consist of a written and
an oral examination.

a) The written examination shall take place as soon as the supervisory
committee deems appropriate but not later than at the end of the candidate’s
first year in the doctoral program. The purpose of the written comprehensive
examination is to ensure that the candidate has a broad general knowledge
of statistics before beginning work on the thesis.

b) At the time to be determined by the supervisory committee,
but not later than at the end of the candidate’s second year in the
doctoral program, the candidate will be required to take the oral examination.
The purpose of the oral examination is to ensure that the candidate is
making sufficient progress and has sufficient specialized knowledge in
the area of the proposed research work and related areas. The oral examination
may also include questions of a general nature relating to the field of
specialization.

4. Each candidate will be required to present at least one paper
at a graduate seminar on a topic to be approved by his or her Supervisor.

**TABLE
OF CREDIT RESTRICTIONS FOR PRESENT MATHEMATICS COURSES WITH FORMER MATHEMATICS
COURSES**

CREDIT MAY BE OBTAINED FOR ONLY ONE COURSE FROM EACH OF THE PAIRS LISTED IN THIS TABLE

Present Course |
Former Course |
Present Course |
Former Course |

6323 | 6030 | 6212 | 6080 |

6321 | 6032 | 6310 | 6130 |

6322 | 6035 | 6330 | 6200 |

6340 | 6040 | 6331 | 6210 |

6341 | 6041 | 6332 | 6350 |

6342 | 6042 | 6312 | 6500 |

6100. Dynamical Systems

6101. Modern Perturbation Theory

6102-6109. Special Topics in Applied Mathematics

6120. The Theoretical Fluid Dynamics

6121. Functional Differential Equations

6212. Numerical Methods for Initial Value Problems

6201. Numerical Methods for Partial Differential Equations

6202-6209. Special Topics in Numerical Analysis

6210. Numerical Solution of Differential Equations (for Computational Science students only - required core course)

6300. Algebraic Topology I (Homology Theory)

6301. Algebraic Topology II (Homotopy Theory)

6302. Algebraic Topology III (Theory of Fibre Bundles)

6332. Point Set Topology

6304-6309. Special Topics in Topology

6310. Functional Analysis

6311. Complex Analysis

6312. Measure Theory

6313-6319. Special Topics in Analysis

6320. Group Theory

6321. Ring Theory

6322. Nonassociative Algebra

6323. Homological Algebra

6324-6329. Special Topics in Algebra

6330. Analytic Number Theory

6331. Algebraic Number Theory

6340. Graph Theory

6341. Combinatorial Design Theory

6342. Advanced Enumeration

6343-6349. Special Topics in Combinatorics

6910. Topology Seminar

6940. Analysis Seminar

6950. Algebra Seminar

6503. Stochastic Processes

6510. Mathematical Statistics

6520. Linear Models

6560. Continuous Multivariate Analysis

6561. Discrete Multivariate Analysis

6570-6589. Selected Topics in Statistics and Probability

6590. A Course in Statistical Consulting

6930. Statistics Seminar

Please direct inquiries to rbarron@mun.ca.

Last modified on April 30, 2004 by R. Bruce

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