The three tracks in the Ph.D. program (pure, applied, actuarial) each require four prelims, which are typically the following:
(Note: the exams for Math 5160 and Math 5637 are open ONLY to actuarial students.)
For other options, consult the PhD in mathematics page.
Please note that course numbers at UConn changed from 3 digits to 4 digits in August 2008, so prelim exams before and after this date have different numbers. E.g., Algebra used to be Math 315 and became Math 5210.