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

Graduation Requirements and Procedures



Ph.D. Graduates (1990-Present)


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, the student is also required to take two statistics courses from MATH 5311, 5318, 5353, 5354, 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 (1) Math 5317/5321, or (2) Math 5331, or (3) Math 5312 & Math 5313, or (4) Math 5339. (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. The student's subject choice for Prelim B must be approved by the graduate advisor or the student's Ph.D. advisor prior to passing Prelim B. All of the Ph.D. Preliminary Examinations are offered twice a year in January and August.

    List of Prelim Dates for August 2014:
    • Tuesday, August 12, 2014, 10:00AM-12:00noon
      Prelim A: Linear Algebra

    • Thursday, August 14, 2014, 10:00AM-12:00noon
      Prelim A: Mathematical Analysis

    • Friday, August 15, 2014, 10:00AM-12:00noon
      Prelim B

    Unless informed otherwise, the room will be PKH 311.


    Requests for disability accommodations should be submitted informally to the Chair of the Graduate Affairs Committee. Documentation authorizing said disability will be required from the Office of Disabilities.




    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.




    To request further information about graduate programs at UT Arlington, please visit the Graduate School information request website. To apply, please visit the Graduate School application website.

    The Mathematics Graduate Catalog lists the Admissions Requirements for the different graduate programs in mathematics at UT Arlington. It also contains information pertaining to Graduation Requirements and Procedures.

    For inquiries about the Ph.D. Program in Mathematics, write or send an email to:
    Dr. Hristo V. Kojouharov
    Professor of Mathematics
    Graduate Advisor for Ph.D. and M.S. Programs
    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