DOCTOR OF PHILOSOPHY

Requirements for the doctoral degree are primarily qualitative rather than quantitative. All students’ programs must have the approval of the guidance committee. The number of graduate units of course work usually associated with doctoral programs is 60 credits (course=3 credits). These courses are to be selected from a well-balanced programs in one major and two minor fields. The minor fields are encouraged to be chosen outside the Department of Mathematics, selected from such fields as applied mechanics, financial engineering, control theory, computer science, traffic engineering, and electrical engineering.
Thirty-nine credits of course work and at least 21 credits of thesis is required.

Required (core) courses, 12 credits, 3 credits each:

Linear Algebra I, MA7033
Linear Algebra II, MA7043
Element of Real Analysis I, MA6213
Element of Real Analysis II, MA6223

A grade of A is necessary in these required courses for PhD credit (they may be repeated).
Only courses with grades of B or better can be used to satisfy the Ph.D. requirements.
A PhD candidate must maintain at least a 3.0 average.
Students are required to pass a Part 0 written examination covering fundamental topics; a Part 1 written examination covering real and complex analysis and linear and abstract algebra, and a Part 2 oral examination on topics chosen by the student and thesis advisor.
After passing the Part 2 examination, the student writes a dissertation under the supervision of a faculty advisor.
The final requirement for the PhD degree is a public oral exam on the student's dissertation.
Students must demonstrate the ability to read mathematical text written in French, German or Russian.
For more information visit the Math Website.