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Division of Natural Sciences & MathematicsDepartment of Mathematics

Degree Programs

Degree Programs

Doctor of Philosophy

Degree Requirements

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.

Required courses

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 examinations

All students admitted to the PhD program must pass preliminary exams in algebra and analysis by the end of the Winter quarter of their second year of study. For complete rules, syllabi, and sample exams, please see the following documents:

For students admitted to the PhD program before Fall 2010, see the qualifying exams page.

Dissertation

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.

Tool requirement

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.