# 3.5-Course Requirements

**(3.5) Course Requirements**

Regular Ph.D. students must complete a program that includes a minimum of eight graduate courses (exclusive of seminar and research requirements), subject to the requirements below. Additional course requirements generally apply to Ph.D. students admitted provisionally. Subject to the requirements below, a student’s program should be chosen in agreement with the Graduate Director and the student’s dissertation advisor so as to meet the educational objectives of the program and the needs of the student’s research area.

For students whose dissertation area is represented by one of the subject areas in groups A and B below, four courses in a major area must be taken at the 700-level. Two courses must be taken at the 700-level in each of two minor areas. As a way of ensuring a measure of breadth in mathematical background, the major and minor areas must be chosen from the two major groups A and B below, so that at least one subject from each of the two groups is selected.

Students whose dissertation area is Research in Undergraduate Mathematics Education must complete the four course RUME sequence and six additional mathematics courses, chosen from the areas listed below and including at least four courses at the 700-level. At least two courses should be chosen from each group A and B so as to fulfill the requirements of a minor area. The remaining two courses can be used, for instance, to acquire additional breadth in mathematics or to achieve research level depth in an area.

A. Algebra/Number Theory/Discrete Mathematics/Set Theory.

B. Analysis/Differential Equations/Numerical Analysis and Computational Mathematics/Topology.

With the prior approval of the Graduate Programs Committee, a total of at most 3 hours of course work in each of the two minor areas may be at 500-600 level.

With the prior approval of the student's advisor and the Graduate Director, one minor area may be chosen outside of the areas listed in groups A and B, and may include suitable course work outside the mathematics department (see Attachment 1, Item 7). If this minor area achieves, in a comparable way, the objective of ensuring breadth in the student’s program, an exception to the requirement of including both groups A and B among the major and minor areas may be made, with the approval of the Graduate Director.

A minimum of 6 courses at the 700-level in the Mathematics Department must be included in the plan of study. Using an independent study to fulfill any of the major or minor course requirements must be approved by the Graduate Programs Committee.

Students interested in interdisciplinary research in computer science and/or statistics may pursue the option in Combinatorial Computing and Discrete Mathematics (CCDM) which is described in a separate document.

Doctoral students will register for one credit of graduate seminar (Math 696) each semester they are in residence. Format and expectations associated with the graduate seminar are described in Attachment 4.

Each Ph.D. student must satisfactorily complete the one credit hour “Professional Tools Seminar”, offered in the spring under Math 694. This is taken in place of Math 696 during the semester of enrollment.

Any exceptions to the above program requirements must be approved in advance by the Graduate Programs Committee.