All students pursuing the Ph.D degree are required to demonstrate a basic understanding of Algebra (MTH 661/662), Topology (MTH 631/632), and Real Analysis (MTH 633/634) by passing preliminary exams on these subjects or by the decision of the graduate committee based on the students course load and performance before arriving to the program.

Students must pass all of these exams by the beginning of their second year in the program.

The preliminary exams are given two times in each academic year: i) in the end of May or beginning of June and; 2) in the middle of August. Passing (or being waived by the graduate committee) any of the preliminary exams enables a student to bypass the corresponding 600-level course sequence. Incoming students are welcome to take any of the August exams prior to the start of the fall semester.

The following syllabi are intended as a rough guide. The actual contents of the exams are determined by the exam committee.

Syllabi