Degree Requirements
Doctor of Philosophy in Mathematics
This degree requires completion of at least 135 quarter hours (see following details) beyond the BA or BS degree; completion of a written dissertation that makes a significant contribution to the research literature in mathematics; and completion of a tool requirement. Although a master’s degree is not a prerequisite for acceptance into the PhD program, each student must have completed a master’s degree in mathematics before completing 80 hours of the PhD program.
Course Requirements
Of the 135 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 academic advisor.
Examinations
By the time a student has completed 80 hours of graduate credit, students should have successfully passed a written qualifying exam covering three topics from the following list. One of the examinations must be in real analysis.
• real analysis
• complex analysis
• linear algebra
• abstract algebra
• automata theory
• computational complexity
Tool Requirement
It is strongly recommended that students satisfy their tool requirement by demonstrating the 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; or a significant laboratory experience involving mathematics.