UT Arlington, Department of Mathematics The University of Texas at Arlington

Ph.D. Degree Requirements

Ph.D. Degree Requirements for the B.S.-Ph.D. track

Ph.D. Preliminary Examinations

Ph.D. Comprehensive Examination

Ph.D. Dissertation Examination


Doctor of Philosophy in Mathematics

The Department of Mathematics offers doctoral degree programs in Mathematics (algebra, applied mathematics, game theory, geometry, numerical analysis, probability/stochastic analysis) and in Statistics.



Ph.D. Degree Requirements*

All doctoral students must complete one of the following:



Ph.D. Degree Requirements for the B.S.-Ph.D. track*

The student must complete either the mathematics or statistics core requirements.

  • General MATHEMATICS core requirements:

    In addition to the mathematics core requirements, students are also required to take three area-related courses.

  • General STATISTICS core requirements:

    In addition to the statistics core requirements, students are also required to take two statistics courses from MATH 5311, 5314, 5353, 5354, 5356, 5357, 5358, 5359, 6353, 6356, 6357.

    *Effective for students entering the graduate program starting Fall, 2001. Returning students may choose the old core requirements.




    Students entering the PhD program in Spring 2007 or later must pass the following written and/or oral examinations.


    Ph.D. Preliminary Examinations:
    • A two-hour Ph.D. Preliminary Examination on material similar to that in Math 5307. (Prelim A-AN)

    • A two-hour Ph.D. Preliminary Examination on material similar to that in Math 5333. (Prelim A-LA)

    • A two-hour Ph.D. Preliminary Examination on material similar to that in either Math 5317 or Math 5331 (Prelim B)

    Students are expected to pass Prelim A-AN and Prelim A-LA within the first year to maintain their GTA stipend. Students are expected to pass Prelim B within the first three long semesters to maintain their GTA stipend. All of the PhD Preliminary Examinations are offered twice a year in January and August.

    List of Prelim Dates for August 2008:
    • Mon August 18, 2008, 2:00-4:00 pm
      Prelim A: Linear Algebra

    • Tues August 19, 2008, 10:00-noon
      Prelim A: Mathematical Analysis

    • Tues August 19, 2008, 2:00-4:00 pm
      Prelim B: Algebra/Analysis

    The room will be decided nearer the time, but will probably be PKH 308.




    Ph.D. Comprehensive Examination:

    Students must pass a PhD Comprehensive Examination. The content and format (oral/written) of this examination will be at the choosing and under the sole direction of the student's PhD Dissertation Committee, but it should be after the completion of a majority of the core requirements. For an oral presentation by the student before the comprehensive examination committee, the student will prepare and make a brief presentation of a research proposal or a report based on a research paper related to his or her dissertation area.

    The presentation will be followed by questioning from the committee members. Questions will likely focus on, but not be restricted to, one or more components of the following:

    • the presentation (i.e., the research proposal or report),

    • the specialized field of the proposed dissertation area,

    • current research periodicals/monographs related to the presentation, and

    • general core courses of the Ph.D. curriculum.

    Written presentation/examinations are similar in coverage except that they are conducted in written form.

    A student will be allowed to take the Comprehensive Examination a maximum of two times, but a repeat must be done no later than the following long semester. Students are expected to pass the PhD Comprehensive Examination by the end of the 5th long semester to maintain their GTA stipend.

    GRANDFATHERING: Those PhD students who entered the PhD program prior to Spring 2007 may choose between the format described here and the old format.



    Ph.D. Dissertation Examination:

    Students in every degree plan must pass a final PhD Oral Examination based on his or her PhD Doctoral Dissertation.




    For further information and application forms, visit the Graduate School website.

    For inquiries about the Department of Mathematics, write or send an email to:
    Dr. Jianzhong Su
    Director of Graduate Studies
    Department of Mathematics
    The University of Texas at Arlington
    P.O. Box 19408
    Arlington, TX 76019-0408

    Metro 817-272-3261
    FAX 817-794-5802