Mathematical modeling is the process of developing mathematical descriptions, or models, of real-world systems. These models can be linear or nonlinear, discrete or continuous, deterministic or stochastic, and static or dynamic, and they enable investigating, analyzing, and predicting the behavior of systems in a wide variety of fields. Every mathematical modeling enterprise has four aspects: the content of the application field, the mathematical formulation and analysis, the analytical and computational methods (which often involve high-performance computing), and the interpretation and analysis of the results. Through extensive research, graduates of this program will have the expertise not only to use the tools of mathematical modeling in various application settings, but also to contribute in creative and innovative ways to solve complex interdisciplinary problems and to communicate effectively with domain experts in various fields.
Plan of study
The degree requires at least 60 credit hours of course work and research. The curriculum consists of three required graduate common courses, three required graduate concentration courses, a course in scientific computing and high-performance computing (HPC), elective courses focused on the student’s chosen research concentration, and a doctoral dissertation. At least 30 credit hours of course work, including the common curriculum, is required. In addition, at least 30 credit hours of research, including the Graduate Research Seminar and an interdisciplinary internship outside of RIT, is required. At least three years of full-time study or its equivalent in part-time study is required. Students must pass two qualifying exams (one based on common courses and one on concentration courses) by the end of their second year and a candidacy examination at least one year before completing their dissertation.
Students will develop a plan of study in consultation with an application domain advisory committee. This committee will consist of the program director, one of the concentration leads and an expert from an application domain related to the student’s research interest. The committee will ensure that each student has a roadmap for completing their degree based on the student’s background and research interest. The plan of study may be revised as needed.
Elective courses for the mathematical modeling program are be available from within the School of Mathematical Sciences; in addition, the program makes use of elective courses from the doctorate programs in astrophysical sciences and technology, imaging science, color science, and computing and information sciences, as well as courses from additional graduate programs at RIT. These programs provide application domain-specific courses that can be of interest for particular research projects.
Middle States Association of Colleges and Schools, Middle States Commission on Higher Education