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Students
Tuition Fee
Start Date
Medium of studying
On campus
Duration
Program Facts
Program Details
Degree
PhD
Major
Applied Mathematics | Mathematics | Statistics
Area of study
Mathematics and Statistics
Education type
On campus
Timing
Full time
Course Language
English
About Program

Program Overview


Overview

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 the mathematical modeling Ph.D. 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.


Plan of Study

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 Mathematics and Statistics 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 credits 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.


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.


Dissertation Research Advisor and Committee

A dissertation research advisor is selected from the program faculty based on the student's research interests, faculty research interest, and discussions with the program director. Once a student has chosen a dissertation advisor, the student, in consultation with the advisor, forms a dissertation committee consisting of at least four members, including the dissertation advisor.


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.


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.


Residency

All students in the program must spend at least two consecutive semesters (summer excluded) as resident full-time students to be eligible to receive the doctoral degree.


Maximum Time Limitations

University policy requires that doctoral programs be completed within seven years of the date of the student passing the qualifying exam.


Curriculum

Mathematical Modeling, Ph.D. degree, typical course sequence

  • First Year
    • MATH-602: Numerical Analysis I
    • MATH-606: Graduate Seminar I
    • MATH-607: Graduate Seminar II
    • MATH-622: Mathematical Modeling I
    • MATH-722: Mathematical Modeling II
    • MATH Concentration Courses
    • MATH Elective
  • Second Year
    • MATH-751: High-performance Computing For Mathematical Modeling
    • MATH-790: Research & Thesis
    • MATH Concentration Course
    • MATH Electives
  • Third Year
    • MATH-790: Research & Thesis
  • Fourth Year
    • MATH-790: Research & Thesis
  • Fifth Year
    • MATH-790: Research & Thesis

Concentrations

Applied Inverse Problems

  • MATH-625: Applied Inverse Problems
  • MATH-633: Measure Theory of Elements and Functional Analysis
  • MATH-741: Partial Differential Equations I

Biomedical Mathematics

  • MATH-631: Dynamical Systems
  • MATH-702: Numerical Analysis II
  • MATH-761: Mathematical Biology

Discrete Mathematics

  • CSCI-665: Foundations of Algorithms
  • MATH-645: Graph Theory
  • MATH-646: Combinatorics

Dynamical Systems and Fluid Dynamics

  • MATH-631: Dynamical Systems
  • MATH-741: Partial Differential Equations I
  • MATH-831: Mathematical Fluid Dynamics

Geometry, Relativity and Gravitation

  • ASTP-660: Introduction to Relativity and Gravitation
  • ASTP-861: Advanced Relativity and Gravitation
  • MATH-702: Numerical Analysis II

Admissions and Financial Aid

This program is available on-campus only.


  • Offered: Fall
  • Admit Term(s): Fall
  • Application Deadline: January 15 priority deadline, rolling thereafter
  • STEM Designated: Yes

Application Details

To be considered for admission to the Mathematical Modeling Ph.D. program, candidates must fulfill the following requirements:


  • Learn tips to apply for a doctoral program and then complete a graduate application.
  • Submit copies of official transcript(s) (in English) of all previously completed undergraduate and graduate course work, including any transfer credit earned.
  • Hold a baccalaureate degree (or US equivalent) from an accredited university or college. A minimum cumulative GPA of 3.0 (or equivalent) is recommended.
  • Satisfy prerequisite requirements and/or complete foundation courses prior to starting program coursework.
  • Submit a current resume or curriculum vitae.
  • Submit a statement of purpose for research which will allow the Admissions Committee to learn the most about you as a prospective researcher.
  • Submit two letters of recommendation.
  • Entrance exam requirements: None
  • Submit English language test scores (TOEFL, IELTS, PTE Academic), if required.

Cost and Financial Aid

An RIT graduate degree is an investment with lifelong returns. Ph.D. students typically receive full tuition and an RIT Graduate Assistantship that will consist of a research assistantship (stipend) or a teaching assistantship (salary).


Program Outline

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 the mathematical modeling Ph.D. 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.

Read More

Students are also interested in: Applied and Computational Mathematics MS


Research

The College of Science consistently receives research grant awards from organizations that include the National Science Foundation, National Institutes of Health, and SA, which provide you with unique opportunities to conduct cutting-edge research with our faculty members.

Faculty in the School of Mathematical Sciences conducts research on a broad variety of topics including:

  • applied inverse problems and optimization
  • applied statistics and data analytics
  • biomedical mathematics
  • discrete mathematics
  • dynamical systems and fluid dynamics
  • geometry, relativity, and gravitation
  • mathematics of earth and environment systems
  • multi-messenger and multi-wavelength astrophysics

Learn more by exploring the school’s mathematics research areas.


SHOW MORE
About University
PhD
Masters
Bachelors
Diploma
Courses

Rochester Institute of Technology (Dubai)

Overview:

Rochester Institute of Technology (Dubai) is a branch campus of the renowned Rochester Institute of Technology in the United States. Located in Dubai Silicon Oasis, a special economic zone for knowledge and innovation, RIT Dubai offers a comprehensive range of undergraduate and graduate programs in various fields, including engineering, business, computing, and design. The institution is committed to providing students with a high-quality American education in a dynamic and international setting.

Services Offered:

RIT Dubai provides a wide array of services to support student success, including:

Academic Support Center:


  • Offers tutoring, study skills workshops, and other resources to enhance academic performance.

Advising Resources:


  • Provides guidance on academic planning, career exploration, and personal development.

Health and Wellness:


  • Offers access to healthcare services, counseling, and wellness programs.

Athletics and Recreation:


  • Provides opportunities for students to participate in sports, fitness activities, and recreational programs.

Student Leadership:


  • Encourages student involvement in clubs, organizations, and leadership initiatives.

Student Accommodation:


  • Offers on-campus housing options for students.

Parking and Transportation:

  • Provides parking facilities and transportation services for students.

Student Life and Campus Experience:

RIT Dubai fosters a vibrant and inclusive campus community where students can engage in a variety of activities and experiences, including:

Student Life at RIT Dubai:


  • Offers opportunities for students to connect with peers, participate in social events, and explore cultural activities.

New Student Orientation:


  • Provides a welcoming introduction to campus life and resources.

Co-op and Internship Program:

  • Offers students practical work experience through co-op and internship opportunities.

Key Reasons to Study There:

American Degree:


  • RIT Dubai offers a true American degree, recognized globally for its quality and rigor.

State-of-the-Art Campus:


  • The campus features modern facilities and technology to support learning and research.

Co-op and Internship Program:


  • Provides students with valuable work experience and career development opportunities.

Study Abroad Options:


  • Offers students the chance to study at other RIT campuses or partner institutions around the world.

Global Connectivity:

  • RIT Dubai is located in a dynamic and international hub, providing students with diverse perspectives and networking opportunities.

Academic Programs:

RIT Dubai offers a range of undergraduate and graduate programs, including:

Undergraduate Programs:

  • Bachelor of Fine Arts in New Media Design
  • Bachelor of Science in Psychology
  • Bachelor of Science in Industrial Engineering
  • Bachelor of Science in Cybersecurity
  • Bachelor of Science in Computing and Information Technologies
  • Bachelor of Science in Electrical Engineering
  • Bachelor of Science in Mechanical Engineering
  • Bachelor of Science in Marketing
  • Bachelor of Science in Finance
  • Bachelor of Science in Global Business Management

Graduate Programs:

  • Master of Science in Organizational Leadership and Innovation
  • Masters of Science in Professional Studies: Future Foresight and Planning
  • Masters of Science in Engineering Management
  • Masters of Science in Mechanical Engineering
  • Masters of Science in Professional Studies: Data Analytics
  • Masters of Science in Professional Studies: Smart Cities
  • Masters of Science in Cybersecurity
  • Masters of Science in Electrical Engineering

Other:

  • RIT Dubai has a strong focus on innovation and entrepreneurship, with dedicated labs and centers supporting student projects and research.
  • The institution boasts a diverse student body representing over 75 nationalities, creating a rich and multicultural learning environment.
  • RIT Dubai has a high employability rate, with over 80% of graduates securing employment within six months of graduation.
  • The institution has a strong network of alumni, providing students with valuable connections and career support.

Total programs
226
Average ranking globally
#442
Average ranking in the country
#132
Admission Requirements
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