Ph.D. in Mathematics - Computational and Applied Mathematics Emphasis
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 Missouri S&T courses taken for the M.S. degree may be included in the Ph.D. program of studies.
A Ph.D. program with emphasis in computational and applied mathematics must include:
- Required courses
MATH 5601 (Numerical Analysis) and MATH 5602 (Finite Elements Methods). - Four of the following courses
MATH 5603 (Methods of Applied Mathematics),
MATH 5604 (Introduction to Numerical Methods for Differential Equations),
MATH 6108 (Applied Matrix Theory),
MATH 6215-6216 (Real Analysis),
MATH 6417-6418 (Functional Analysis),
MATH 6330-6331 (Differential Equations),
MATH 6351-6352 (Complex Analysis),
MATH 6461-6462 (Harmonic Analysis),
MATH 6601 (Numerical Analysis),
MATH 6602 (Mathematical Foundation of Finite Element Methods II),
STAT 6841 (Stochastic Processes). - Other requirement
(a) Two other 6000 level courses, and
(b) one of Math 5108, Math 6108, or Math 6417.
If Math 6108 or Math 6417 is used to fulfill requirement 3 (b), then the same course can simultaneously count toward requirements 2 and 3 (a).
The complete set of eight courses is to be chosen by the Ph.D. candidate in accordance with the candidate's research interests; the courses must also be approved by the student's Ph.D. advisory committee. Ph.D. candidates are encouraged to include courses from other departments that align with their research interests.
All students who intend to pursue the Ph.D. degree must take the Ph.D. Qualifying Examination within the first few semesters of entering our program. At this time the student also should identify an area of emphasis. A typical program of study for a Ph.D. student in computational and applied mathematics includes 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. Please see the Graduate Catalog for more details.
(Revised 5/12/20)