Rochester Institute of Technology (RIT)
Ph.D. in Mathematical ModelingRochester, USA
DURATION
5 Years
LANGUAGES
English
PACE
Full time
APPLICATION DEADLINE
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EARLIEST START DATE
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TUITION FEES
USD 41,424 *
STUDY FORMAT
On-Campus
* $41,424 - $54,974 | based on credits taken
Key Summary
Introduction
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. Through extensive study and 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 the solution of complex interdisciplinary problems and to communicate effectively with domain experts in various fields.
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Admissions
Scholarships and Funding
RIT awards more than $37 million in merit scholarships and assistantships to graduate students each year. Scholarship awards range from 5% of tuition all the way up to full tuition. Awards are based on an applicant's academic excellence. Many things are considered when awarding scholarships - undergraduate grades, graduate placement test scores, and your research and work experience all factor in.
Graduate assistantships are offered to full-time matriculated graduate students to serve as teaching, research, or administrative assistants. Graduate Assistants receive wages (determined by the department making the appointment) in exchange for work performed. Many graduate assistants also receive tuition remission (i.e., tuition support) in addition to receiving wages for assistantship duties.
Graduate students can be awarded both scholarships and assistantships. These funding opportunities are the same for both US and international applicants.
RIT awards more than $30 million in merit scholarships and assistantships to graduate students each year. Scholarship awards range from 10% - 40% of tuition. Our median scholarship amount is around 30% of tuition or $13,000. Awards are based on an applicant's academic excellence. Many things are considered when awarding scholarships - undergraduate grades, graduate placement test scores, and your research and work experience all factor in.
Graduate assistantships are offered to full-time matriculated graduate students to serve as teaching, research, or administrative assistants. Graduate Assistants receive wages (determined by the department making the appointment) in exchange for work performed. Many graduate assistants also receive tuition remission (i.e., tuition support) in addition to receiving wages for assistantship duties.
Graduate students can be awarded both scholarships and assistantships. These funding opportunities are the same for both US and international applicants.
Optional Co-Op
Cooperative education is paid work assignments with corporations and organizations around the U.S. and abroad. Co-op allows students to spend one or more semesters employed in a full-time, paid position related to their academic program before they graduate. Many students use co-op earnings to help finance their education.
Work-Study
Graduate students studying full-time may apply to work part-time on campus. RIT has more than 9,000 jobs available each year, and students typically work 10 – 20 hours per week. International students studying on an F-1 or J-1 visa may work up to 20 hours per week on campus and 40 hours during break periods.
Curriculum
The degree requires at least 60 credit hours of course work and research. The curriculum consists of three required core courses, three required concentration foundation courses, a course in scientific computing and high-performance computing (HPC), three elective courses focused on the student’s chosen research concentration, and a doctoral dissertation.
Elective courses are available from within the School of Mathematical Sciences as well as from other graduate programs at RIT, which can provide application-specific courses of interest for particular research projects. A minimum of 30 credit hours of course work is required. In addition to courses, at least 30 credit hours of research, including the Graduate Research Seminar, and an interdisciplinary internship outside of RIT are required.
Students develop a plan of study in consultation with an application domain advisory committee. This committee consists 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 ensures that all students have a roadmap for completing their degree based on their background and research interests. The plan of study may be revised as needed.
Qualifying examinations
All students must pass two qualifying examinations to determine whether they have sufficient knowledge of modeling principles, mathematics, and computational methods to conduct doctoral research. Students must pass the examinations in order to continue in the Ph.D. program.
The first exam is based on the Numerical Analysis I (MATH-602) and Mathematical Modeling I, II (MATH-622, 722). The second exam is based on the student's concentration foundation courses and additional material deemed appropriate by the committee and consists of a short research project.
Dissertation research adviser and committee
A dissertation research adviser is selected from the program faculty based on the student's research interests, faculty research interests, and discussions with the program director. Once a student has chosen a dissertation adviser, the student, in consultation with the adviser, forms a dissertation committee consisting of at least four members, including the dissertation adviser. The committee includes, in addition to the dissertation adviser, one other member of the mathematical modeling program faculty, and an external chair appointed by the dean of graduate education. The external chair must be a tenured member of the RIT faculty who is not a current member of the mathematical modeling program faculty. The fourth committee member must not be a member of the RIT faculty and maybe a professional affiliated with industry or with another institution; the program director must approve this committee member.
The main duties of the dissertation committee are administering both the candidacy exam and the final dissertation defense. In addition, the dissertation committee assists students in planning and conducting their dissertation research and provides guidance during the writing of the dissertation.
Admission to candidacy
When a student has developed an in-depth understanding of their dissertation research topic, the dissertation committee administers an examination to determine if the student will be admitted to candidacy for the doctoral degree. The purpose of the examination is to ensure that the student has the necessary background knowledge, command of the problem, and intellectual maturity to carry out the specific doctoral-level research project. The examination may include a review of the literature, preliminary research results, and proposed research directions for the completed dissertation. Requirements for the candidacy exam include both a written dissertation proposal and the presentation of an oral defense of the proposal. This examination must be completed at least one year before the student can graduate.
Dissertation defense and final examination
The dissertation defense and final examination may be scheduled after the dissertation has been written and distributed to the dissertation committee and the committee has consented to administer the final examination. Copies of the dissertation must be distributed to all members of the dissertation committee at least four weeks prior to the final examination. The dissertation defense consists of an oral presentation of the dissertation research, which is open to the public. This public presentation must be scheduled and publicly advertised at least four weeks prior to the examination. After the presentation, questions will be fielded from the attending audience and the final examination, which consists of a private questioning of the candidate by the dissertation committee, will ensue. After the questioning, the dissertation committee immediately deliberates and thereafter notifies the candidate and the mathematical modeling graduate director of the result of the examination.