The Doctoral Qualifying Examination (DQE)
To make normal progress toward the PhD degree, all students must
pass the Doctoral Qualifying Examination (DQE) subject to the rules
specified in this section.
The DQE consists of two parts. Part I, titled Real Analysis, is based predominantly on material in Math 501. Part II, titled Linear Algebra, is based predominantly on material in Math 511. Appendix B contains specific lists of topics covered by and suggested references for these two parts. Each part is a four-hour examination. The two parts are given on two separate days. The two-part DQE is given twice a year. See §2 for specific dates.
The DQE is prepared and graded by a committee of four graduate faculty members chosen by the Chair of the Department.
The rules concerning the DQE are as follows:
Rules (a), (b), and (c) will be strictly enforced except in very extraordinary circumstances, and then with the special approval of the graduate faculty of the Department.
Students who face their last attempt at the DQE under the above rules, and feel that they have extraordinary circumstances that make them unfit to take the examination at that offering, must submit a written request to the Graduate Studies Committee for taking the examination at a later time. Such requests should include written evidence of the relevant extraordinary circumstances. The only requests that will be considered are ones made prior to the scheduled date of the examination, and that allow sufficient time for the Graduate Studies Committee to review the request before the examination date.
Appeals on the results of the DQE or on the enforcement of the above rules should be made in writing to the graduate faculty of the Department within one week after the results have been announced. The Chair of the Graduate Studies Committee will act as the liaison between the student and the graduate faculty in this appeal process. If a student completes the examination and then makes an appeal to retake the examination based on circumstances not reported prior to the examination, such an appeal is unlikely to be approved.
The Program of Study
Soon after completion of the Doctoral Qualifying Examination,
a PhD candidate should choose an area of specialization and
make arrangements for an appropriate faculty member to chair
his/her Doctoral Committee. The Doctoral Committee,
in consultation with the candidate, will decide upon a
Program of Study and tentatively set a time for the
Preliminary Examination (see §8.4.2.3).
The Preliminary Examination
This examination consists of two parts: a written examination
and an oral examination. The written examination is three hours
in length and covers the candidate's area of specialization.
The student's Doctoral Committee will define the material
to be covered on the written examination, compose and grade this
examination, and make a recommendation of ``pass'' or ``fail'' to
the graduate faculty of the Department. The oral part of the
examination will be given according to the rules of the
Graduate School for the Preliminary Examination indicated in
the Graduate
School Policies and Procedures Manual. A graded
copy of the written part of the examination
(including the recommendation of ``pass'' or ``fail'') shall
be available for inspection by the graduate faculty at least
a full day before the oral part of the examination
takes place. Each member of the graduate faculty can attend, ask
questions, and vote at the oral examination.
Although there is no restriction on the questions to be asked by the
examiners, the candidate's proposed area of specialization
ordinarily receives special emphasis. To pass the Preliminary Examination,
the candidate must pass the written and oral parts as a unit.
Thus a fail on one part does not necessarily mean a fail
on the whole examination. The candidate may repeat the
Preliminary Examination once.
The candidate is expected to take the Preliminary Examination
within one year of passing the Qualifying Examination.
The Final Examination
This is an oral examination for the defense of the thesis,
normally held after the Doctoral Committee
approves the thesis. It is devoted mainly, though not always entirely,
to a presentation of the content of the thesis and normally lasts
approximately two hours.
It must follow the preliminary examination by at least four and
at most thirty-six months.
It is proper for students to ask their major professors for explicit advice about preparing for this examination. Before this examination may be scheduled, a Thesis Acceptance/Final Examination Form must be filled out. This form may be obtained from the Graduate School Office or downloaded from its web site.
The examining committee consists of the Doctoral Committee, the Representative of the University Graduate Studies Committee, and other members of the graduate faculty present.