Upon arrival, new students take the Masters Preliminary Exam; this serves as a placement exam. Those who pass the exam take the beginning Ph.D.
600-level courses as outlined in The Second Year. Those students who do not pass the Preliminary Exam will take Masters level
courses as outlined in The First Year.
In addition to the general requirements for a Ph.D. mandated by the Graduate School, a minimum of 36 600-level (or above) mathematics credits must
be earned. All four basic sequences 630-631, 632-633, 640-641, and 661-662 are required.
Most students will devote their first year to gaining a solid foundation in basic topics by taking three year-long 500-level courses: algebra (MTH 561/562), topology/geometry (MTH 531/532), and analysis (MTH 533/534).
Every student must pass the Preliminary Exam before the start of their second year, to demonstrate their ability to move on to more advanced
material. The exam is given once in May and once in August.
Students normally take at least three 600-level courses during their second year. Two of the three courses will concern material for their
qualifying exams. In particular, students should pass two qualifying exams (given once in May and once in August) before the start of their third
year. The exams are chosen from:
- One exam covering material from either MTH 630/631 or MTH 632/633
- One exam covering material from either MTH 661/662 or MTH 640/641
No exam may be taken more than twice.
A specialty is chosen and coursework will begin concentrating in this area. Any remaining required 600-level courses will be completed this year.
Find an advisor and discuss a topic for your last exam. This exam can cover topics from any year long 600-level course or any two one-semester
600-level courses, subject to approval of faculty in your speciality.
Research and coursework in your area of research.
Research continues and the dissertation is written. For students who wish to continue in academics, applications are sent out in the fall.
Only in exceptional cases will support be extended to a sixth year.
© 2000-2008, University of Miami Department of Mathematics.
A View of Hypersphere courtesy of Hüseyin Koçak and
David Laidlaw.
Questions or Comments to:
webmaster@math.miami.edu
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