Written qualifying examinations are given in four areas: (1) Algebra, (2) Geometry/Topology, (3) Differential Equations, and (4) Real and Complex Analysis. Parallel to these exams the department offers four ``core'' sequences: (1) Algebra -MTH 818-819, (2) Geometry/Topology - MTH 868-869, (3) Differential Equations - MTH 848-849, and (4) Real and Complex Analysis - MTH 828-829. ....
The qualifying examination requirements can be satisfied in two ways: (1) Pass exams in three areas; (2) Pass examinations in two areas and complete a core sequence in a third area with a grade of at least 3.5 each semester. These requirements must be completed within four semesters of entering the doctoral program. ...