Ph. D. Program
The School of Mathematics administers programs leading to the degrees of Ph.D. in pure mathematics, probability and mathematical statistics, applied mathematics and operational research and control theory. Students in these programs may specialize in the Foundations of Mathematics, but are also expected to obtain a broad education in mathematics, and in particular to pass the regular examinations and qualifying examination.
1. Course Requirements
During the first year in the Ph.D. program, the student must enroll in at least 31 credits courses. At least 12 credits courses of these must be graduate courses in Mathematics Degree courses.
2. PhD Written Preliminary Qualifying Examination
The School of Mathematics offers four Ph.D. degrees: pure mathematics, probability and mathematical statistics, applied mathematics and operational research and control theory. The general rules governing the four degree programs are the same. In outline, to qualify for either of these degrees, the candidate must pass a three-hour written Preliminary Qualifying Examination, on material which is primarily at the graduate level, within 12 months of entering the master degree program. To arrange for the Qualifying Examination, a student must first settle on an area of concentration, and a prospective Dissertation Supervisor, someone who agrees to supervise the dissertation if the examination is passed.
3. PhD Oral Qualifying Examination
Pass an oral Qualifying Examination emphasizing, but not exclusively restricted to, the area of specialization. This examination must be attempted within twenty-four months of entering the master program. If it is not passed on the first attempt, a second try may be allowed.
Each student is required to complete a seminar in which he or she gives a talk of at least four-hour duration. Seminars generally explore the frontiers of knowledge and help in preparing the student for research.
5. PhD Dissertation
Write a dissertation embodying the results of original research and acceptable to a properly constituted dissertation committee. The dissertation committee has the responsibility for determining whether the dissertation is acceptable for the Ph.D.
|Pure Mathematics||Differential Geometry|
|Probability and Mathematical Statistics||Stochastic Processes|
|Applied Mathematics||Symbolic Computation of Non-linearSystems|
|Operational Research and Control Theory||Optimization of Communication Networks|
|Optimization Algorithms for Computer and Communication Networks|