Doctor of Philosophy All students who intend to pursue the
Ph.D. degree should plan to
take the Ph.D. Qualifying Examination
soon after completing an M.S. program. At this time the student also should identify
an area of emphasis. A typical program of study for a Ph.D. student in mathematics or statistics will include at least 72 hours (90 is more common) of graduate work beyond the bachelor's degree, consisting of coursework and research. In addition, there is a Ph.D. Comprehensive Examination and the Ph.D. Thesis Defense. A reading knowledge of one modern foreign language (usually either French, German, or Russian) is required for the Ph.D. degree. Again, see the Graduate Bulletin for more details.
The Department of
Mathematics and Statistics has adopted the following course requirements
for the Ph.D. degree. Any of these courses may be a part of the M.S.
program, since UMR courses taken for the M.S. degree may be included in the
Ph.D. program of studies.
- MATHEMATICS EMPHASIS: A Ph.D. program with emphasis in
mathematics must include three year-sequences chosen from MATH 415-416
(Real Analysis), MATH 417-418 (Functional Analysis), MATH 430-431
(Differential Equations), MATH 451-452 (Complex Analysis), MATH 485-486
(Topology). In addition, the program must include two other 400-level
courses and an algebra course requiring MATH 305 as prerequisite.
- STATISTICS EMPHASIS: A Ph.D. program with emphasis in
statistics must include MATH 315 (Introduction to Real Analysis), STAT 346
(Regression Analysis), STAT 443-444 (Advanced Statistical
Methods I and II), STAT 453 (Linear Statistical Models I). In addition,
the program will include at least five of the following: MATH 415
(Functions of a Real Variable I), STAT 441 (Stochastic Processes), STAT
445 (Advanced Statistical Methods III), STAT 446 (Intermediate
Probability), STAT 454 (Linear Statistical Models II), STAT 457 (Advanced
Mathematical Statistics I), STAT 458 (Advanced Mathematical Statistics
II), STAT 470 (Theory of Reliability).