The requirement consist of the following:
- a minimum of 135 quarter hours beyond the BA or BS degree,
- passing of preliminary examinations,
- completion of a written dissertation,
- completion of a tool requirement.
In addition, although a masters degree is not a prerequisite for acceptance into the PhD program, each student must have completed a masters degree in mathematics before completing 80 quarter hours of the PhD program.
See also the University's official Graduate Bulletin for the Department of Mathematics (or download it here [PDF]).
Of the 135 quarter hours, at least 36 must be at the 4000 level. Up to 35 credits may be taken in other relevant disciplines, as approved by the Mathematics Department Graduate Committee. Courses should be chosen in consultation with, and are subject to the approval of, the student's advisor. (See the catalog of MATH courses.)
Preliminary exams are for students admitted to the PhD program. For more information about the exams, see the preliminary exams page.
The dissertation must make a significant contribution to the research literature in mathematics.
After the dissertation has been completed, the student must defend it in a final examination, as specified by the Office of Graduate Studies.
You can download the LATeX template for a PhD dissertation.
It is strongly recommended that students satisfy their tool requirement by demonstrating an understanding of, and ability to use, a modern computer typesetting system. Other options include
- reading competency in two languages selected from French, German, and Russian,
- a series of outside courses in another discipline
- significant laboratory experience involving mathematics.