Ph.D. in Engineering Applied Mathematics

This is a coordinated program between the College of Engineering and the
Department of Mathematics. It is designed to train students in the formulation,
analysis, and solution of mathematical models in a variety of application areas.
It also emphasizes interdisciplinary research and teamwork. The program
addresses the State and Regional needs for students with advanced training
in interdisciplinary research, and prepares students for employment in
government agencies, industry, and universities. 

Detailed admission requirements can be found in the Graduate Bulletin under the
section Doctor of Philosophy in Engineering Degree. On gaining full admission to
the Ph.D. program, the student will meet with an applied mathematics advisor from
the Department of Mathematics to discuss issues relating to fundamental courses,
transfer credits, and degree requirements.

Students without a bachelor's or master's degree in mathematics may be required
to complete the following fundamental courses or their equivalents. This course
work is in addition to the other degree requirements. (Note that most of these
courses can be taken for graduate credit and some will count as electives in the
Applied Mathematics or Engineering Master's programs.)

The fundamental courses are:

  • 3450:525 Complex Variables (3 credits)
  • 3450:527-528 Applied Numerical Methods I and II (6 credits)
  • 3450:521-522 Advanced Calculus I and II (6 credits)
  • 3450:538-539 Advanced Engineering Mathematics I and II (6 credits)

Students without a bachelor's or master's degree in engineering may be
required to complete fundamental course work in engineering in addition to the
other degree requirements. (Note that the graduate credits can count as
electives in the applied mathematics Master's degree program.):

To receive the degree of Ph.D. in Engineering in the Engineering Applied
Mathematics program, the student must:

  1. Meet with the initial advisor committee to conduct a placement review
    and to establish a first year plan of study.
  2. Identify a Dissertation Director, and an Interdisciplinary Doctoral
    Committee whose membership shall be equally distributed between
    faculty in the Department of Mathematics and the College of
    Engineering. This committee should be formed before the student
    has completed 18 credits of work in the doctoral degree program.
  3. Complete a formal Plan of Study that is acceptable to the Interdisciplinary
    Doctoral Committee. The Plan of Study must have at least 36 credits of
    course work, at the 600/700 level. At least 18 credits of course work must
    be from the College of Engineering and at least 18 credits must be from
    the Department of Mathematics. The minimum total credit hours for the
    doctoral program is 96.
  4. Satisfy the language requirement specified by the Interdisciplinary Doctoral Committee.
  5. Pass a Qualifying Examination composed and administered by program
    faculty from the Department of Mathematics and from one department in the
    College of Engineering. The purpose of the qualifying examination is to
    determine admissibility to the doctoral program and to identify any technical weakness.
  6. Present an acceptable Dissertation Proposal describing the proposed
    research to the Interdisciplinary Doctoral Committee.
  7. Pass a Candidacy Examination whose purpose is to test the student's ability
    to conduct independent research.
  8. Present and successfully defend the dissertation before the Interdisciplinary Doctoral Committee.
  9. All this must take place within ten years of the student's admission to the
    Ph.D. program and must satisfy the University's residency requirement of
    two successive semesters of full-time study.