Degree Requirements

To pursue the PhD degree, a candidate would elect to study in one of three fields in the PhD program:

Discrete Mathematics and Networks
This field is supported by the following courses:

Code Description
AM9AAA Advanced Topics in Discrete Mathematics
AM8101 Principles and Techniques
AM8102 Advanced Numerical Analysis
AM8002 Discrete Mathematics and Its Applications
AM8205 Applied Statistical Methods
AM8204 Topics in Discrete Mathematics
AM8208 Topics in Mathematics
AM8209 Directed Studies

Financial Mathematics:
This field is supported by the following courses:

Code Description
AM9BBB Advanced Topics in Financial Mathematics
AM8101 Principles and Techniques
AM8102 Advanced Numerical Analysis
AM8001 Analysis and Probability
AM8205 Applied Statistical Methods
AM8201 Financial Mathematics
AM8208 Topics in Mathematics
AM8209 Directed Studies

Biomathematics and Fluids:
This field is supported by the following courses:

Code Description
AM9CCC Advanced Topics in Biomathematics and Fluids
AM8101 Principles and Techniques
AM8102 Advanced Numerical Analysis
AM8001 Analysis and Probability
AM8205 Partial Differential Equations
AM820 Topics in Biomathematics
AM8208 Topics in Mathematics
AM8209 Directed Studies

Other Requirements:

  1. PhD Seminar Course
  2. PhD Candidacy Examination
  3. PhD Research Thesis

A minimum of three one-term course credits will be required for the PhD degree, in addition to successful performance in the PhD candidacy examination and completion of the doctoral thesis and its defence. At the recommendation of the candidate’s thesis supervisor and with the approval of the Program Director, one or more additional courses may be required for students with a broader disciplinary background who need additional graduate preparation leading to the candidacy examination. The thesis supervisor, and the candidate’s supervisory committee, must approve the course selections or exemptions for each PhD candidate.

Candidacy Examination
All PhD students must take the candidacy exam within 20 months of the first date of registration in the PhD program. In order to attempt the exam, the candidate must first meet the following minimum criteria:

(a) They must have completed a minimum of one research progress meeting with their Supervisory Committee. The student’s status, as assessed at the last meeting before applying for the Candidacy Exam must be “satisfactory”.

(b) They must have successfully completed at least two graduate elective courses and two semesters of the seminar course.

The examination consists of two parts: (i) a written examination of three hours duration, the questions to be set by the student’s Supervisory Committee; and (ii) an oral defense of (a) the written examination, and (b) dissertation proposal.