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:

· Two of the following courses:

o MATH 5601 (Introduction to Numerical Analysis), MATH 5602 (Finite Element Methods), MATH 5604 (Introduction to Numerical Methods for Differential Equations).

· One of the following courses:

o MATH 6108 (Applied Matrix Theory), MATH 6417 (Functional Analysis I).

· Four of the following courses:

o One of MATH 5601, 5602, or 5604 if all three courses are taken,

o One of MATH 6108 or 6417 if both courses are taken,

o MATH 5215 (Introduction to Real Analysis), MATH 5680 (Mathematics of Machine Learning),

o MATH 6330-6331 (Theory of Differential Equations), MATH 6418 (Functional Analysis II),

o MATH 6601 (Numerical Analysis), MATH 6603 (Math Foundation of Finite Element Methods II),

o STAT 6841 (Stochastic Processes).

· At least 9 hours total of 6000-level lecture courses 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. In addition, there is a Ph.D. Comprehensive Examination and the Ph.D. Thesis Defense. Please see the Graduate Catalog for more details.

(Revised 7/2026)