Coursework Policy "3+2+2" Requirement
The department offers twosemester “Prelim” course sequences in six core areas, making twelve Prelim segments in total: Algebra; Analysis (Real and Complex); Applied Mathematics (principally functional analysis); Numerical Analysis; Probability; and Topology (Algebraic and Differential). The course syllabi can be found here.
90minute examinations (“prelim exams”) covering the twelve areas are administered twice per academic year: in August before the start of the Fall semester, and in January before the start of the Spring semester.
Whenever possible, exams covering different areas are administered on different days. The two exams covering a single area (for instance, the two Algebra exams) are administered sequentially on the same day, with a brief rest break in between.
Of the 12 Prelim segments, students must pass at least 7, in distinct areas, of which at least 3 must be by exam. A passing grade in a Prelim course is a “B”, while the passing standard for a Prelim exam is determined by the faculty committee administering that exam.
Students are expected to meet the following milestones:

By the beginning of their 2nd Semester: Pass 1 Prelim exam.

“3+2”: By the beginning of their 4th Semester: pass 5 Prelim segments, all distinct, at least 3 by exam. Note that you become eligible to take a candidacy oral exam once the above requirements are completed.

“3+2+2”: By the beginning of their 8th semester (or before the beginning of the semester of their Ph.D. thesis defense, whichever comes first): pass two additional prelim courses or exams, distinct from the “3+2”.
While this schedule is not rigidly enforced, students are expected to make steady progress towards the completion of their prelim requirements. Students falling distinctly behind this schedule risk losing their good academic standing within the program, and should consult the Graduate Advisor.
Students are welcome to take both a prelim course and the corresponding exam, though they cannot both be counted towards the prelim requirements. There is no penalty for failing a prelim exam; they can be retaken on subsequent occasions. There are no waivers for prelim exam requirements.
There are three ways in which students may be allowed to skip some or all of required prelim courses:

As implied by the above rules, they may pass more exams instead of taking the courses.

Students with prior graduate coursework may appeal to the Graduate Advisor for waivers of one or more prelim course requirements.

Interdisciplinary students, with the advice of an academic supervisor and permission of the ASGSC (Administrative Subcommittee of the Graduate Studies Committee) may be allowed to substitute courses in their specialty for some of the four required prelim courses.
January 2022 Exam Schedule
 Monday, January 10: Applied Math
 Tuesday, January 11: Analysis
 Wednesday, January 12: Topology
 Thursday, January 13: Probability
 Friday, January 14: Numerical + Algebra
January 2022 Exam Procedure
Signup deadline: January 4.
 Exam 1: 12:30  2:30pm
 Exam 2: 3:00  5:00pm
You can sign up for exams here.
A listing of historical exams can be found here.