The following regulations should be read in conjunction with the General Regulations of the School of Graduate Studies.

1. Students shall be assigned a supervisory committee consisting of the Supervisor (or Co-Supervisors) and at least two other members of faculty appointed by the Dean on the recommendation of the Head.

2. A student shall complete at least 6 credit hours in graduate courses in the area of specialization. A student may be required to take additional courses at any time during the student's program.

3. The Comprehensive Examination consists of two parts, called the “qualifying review” and the “intermediate review”. Successful completion of both the qualifying and intermediate reviews constitutes successful completion of the Comprehensive Examination in the sense of General Regulations, Comprehensive Examinations.

   1. The qualifying review consists of written examinations and takes place once the student has successfully completed the courses specified in the student's program of study at the time of this review and the Supervisory Committee deems it appropriate. Its main purpose is to ensure that the student has a reasonably broad general knowledge of mathematics or of statistics, as appropriate.

   2. The intermediate review consists of an oral presentation on the student’s thesis topic followed by an oral examination based on the presentation although questions of a general nature relating to the field of specialization are also permitted. It must take place no later than the end of the student’s seventh semester in the doctoral program and at least three months after the qualifying review. Its purpose is to ensure that the student has specialized knowledge in the student's chosen area sufficient to do original research of a high level.

More details concerning the Department’s comprehensive examinations can be obtained from the Department.

A Masters Degree in mathematics or related area from a recognized university is required for entry into the Ph.D. program. Students currently registered in their first year at Memorial University of Newfoundland’s M.Sc. Program in mathematics who have obtained A in at least four program courses are eligible to be transferred into a Ph.D. program. Such transfer must be supported by a prospective Ph.D. supervisory committee as well as the Graduate Studies Committee and approved by the Dean of Graduate Studies. Transferred students shall finish their Masters program courses plus the minimum Ph.D. requirements.

A Masters Degree in statistics from a recognized university is normally required for entry into the Ph.D. program. Students currently registered in their first year at Memorial University of Newfoundland’s M.A.S. or M.Sc. Program in statistics who have obtained A in at least four program courses are eligible to be transferred into a Ph.D. program. Such transfer must be supported by a prospective Ph.D. supervisory committee as well as the Graduate Studies Committee and approved by the Dean of Graduate Studies. Transferred students shall finish their Masters program plus the minimum Ph.D. requirements.

In addition to general Departmental requirements, each student for the Ph.D. in mathematics or statistics will be required to present at least one paper at a graduate seminar on a topic to be approved by the student's Supervisor.

The Ph.D. in Theoretical Physics is an interdisciplinary program offered jointly with the Department of Physics and Physical Oceanography. The regulations for this program are described under the Regulations Governing the Degree of Doctor of Philosophy, Theoretical Physics.

A selection of the following graduate courses will be offered to meet the requirements of students, as far as the resources of the Department will allow.

• 6100 Dynamical Systems
• 6101 Modern Perturbation Theory
• 6102 Mathematical Biology
• 6104 Infinite Dimensional Dynamical Systems
• 6110 Advanced General Relativity
• 6111 Calculus in Manifolds
• 6112-6119 Special Topics in Applied Mathematics
• 6120 Theoretical Fluid Dynamics
• 6121 Functional Differential Equations
• 6130 Introduction to General Relativity
• 6201 Numerical Methods for Partial Differential Equations
• 6202 Nonlinear and Linear Optimization (credit restricted with Computer Science 6933)
• 6204 Iterative Methods in Numerical Linear Algebra
• 6205-6209 Special Topics in Numerical Analysis
• 6210 Numerical Solution of Differential Equations (for Computational Science students only - required core course)
• 6212 Numerical Methods for Initial Value Problems
• 6230 Differentiable Manifolds and Riemannian Geometry
• 6252 Quantum Information and Computing (cross-listed with Physics 6852)
• 6300 Homology Theory
• 6301 Homotopy Theory
• 6302 Theory of Fibre Bundles
• 6304-6309 Special Topics in Topology
• 6311 Complex Analysis
• 6312 Measure Theory
• 6313 Functional Analysis II
• 6315-6319 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
• 6333 Representation Theory
• 6340 Graph Theory
• 6341 Combinatorial Design Theory
• 6342 Advanced Enumeration
• 6343-6349 Special Topics in Combinatorics

• 6503 Stochastic Processes
• 6505 Survival Analysis
• 6520 Linear Models
• 6530 Longitudinal Data Analysis
• 6540 Time Series Analysis
• 6545 Computational Statistics
• 6550 Nonparametric Statistics
• 6559 Statistical Exploration of Data
• 6561 Categorical Data Analysis
• 6564 Experimental Designs
• 6563 Sampling Theory
• 6571 Financial and Environmental Time Series
• 6573 Statistical Genetics
• 6570-6589 Selected Topics in Statistics and Probability (excluding 6571, 6573, 6586)
• Note that, although the courses 6160, 6310, 6332, 6351, 6500, 6510 and 6560 cannot be used to fulfill the 6 credit hours graduate courses requirement, any of them can be listed as part of the program of study as additional course work, whenever the supervisory committee deems it appropriate.