This oral examination can take place at any time mutually agreed by the Examining Committee and student.Students entering with a Bachelor's degree must pass the Candidacy Exam by the beginning of their 6th semester of study (by the beginning of the 4th semester of study for those entering with a Master's degree). A second and final attempt is permitted following a failed attempt. Dismissal will be recommended for a student who does not pass the Candidacy Exam on the second try.
The student should take the following steps to organize their oral examination and are advised to allow ample time for the process:
It is the responsibility of the examining committee to decide the duration of the exam (typically 2-3 hours). They should report the results of the exam and a recommendation of Pass or Fail with written justification to the Director of Graduate Studies within two days of the exam. A final decision on the outcome of the exam is the responsibility of the Graduate Committee.
In this examination a student must choose 2 topics from the following table:
| Topic | Graduate Courses Pertaining to this Topic |
| Algebra | MATH 650 and MATH 845 |
| Analysis | MATH 805 and MATH 807 |
| Applied Mathematics | MATH 616, MATH 617 and MATH 810 |
| Discrete Mathematics | MATH 688 and MATH 689 |
| Numerical and Functional Analysis | MATH 611, MATH 612 and MATH 806 |
Should a candidate fail a part of the Candidacy Exam, the candidate need only retake the failed topic. In no case will a candidate be allowed to take the candidacy exam more than twice.