The Industrial Mathematics track in the Mathematical Science MS program prepares graduate students to pursue careers in industry by providing them with high quality professional training in branches of mathematics valuable to high-technology industries. This track has three components: training in the necessary mathematics to pursue a career in industrial mathematics, professional training to prepare for the environment of the industrial workplace, and a required experiential component.
Total Credit Hours Required: 30 Credit Hours Minimum beyond the Bachelor's Degree
Track Prerequisites
The following courses are required as prerequisites to this track: Calculus with Analytic Geometry I, II, and III; Differential Equations; Linear and Matrix Algebra (or a course equivalent); proficiency in a computer language (Python or MatLab or C); Advanced Calculus and Statistics.
A working knowledge of undergraduate calculus, differential equations, linear algebra (or matrix theory), and maturity in the language of advanced calculus (at the level of MAA 4226).
Degree Requirements
Required Courses
12 Total Credits
- Complete 1 of the following
Option 1- Complete the following:
- MAA5210 - Topics in Advanced Calculus (3)
- MAS5145 - Advanced Linear Algebra and Matrix Theory (3)
- MAT5712 - Scientific Computing (3)
- MAP6385 - Applied Numerical Mathematics (3)
Option 2- Complete the following:
- MAA5237 - Mathematical Analysis (3)
- MAS5145 - Advanced Linear Algebra and Matrix Theory (3)
- MAT5712 - Scientific Computing (3)
- MAP6385 - Applied Numerical Mathematics (3)
Mathematics Restricted Electives
6 Total Credits
- Complete all of the following
- Complete 1 of the following
- Complete at least 2 of the following:
- MAA6508 - Hilbert Spaces with Applications (3)
- MAA6306 - Real Analysis (3)
- MAA6506 - Functional Analysis (3)
- Complete at least 2 of the following:
- MAA6405 - Complex Variables (3)
- MAA6404 - Complex Analysis (3)
- Complete at least 2 of the following:
- MAD5205 - Graph Theory I (3)
- MAD6309 - Graph Theory II (3)
- Complete at least 2 of the following:
- MAS5311 - Algebra I (3)
- MAS6312 - Algebra II (3)
- Complete at least 2 of the following:
- MAP6195 - Mathematical Foundations for Massive Data Modeling and Analysis (3)
- MAP6197 - Mathematical Introduction to Deep Learning (3)
- Complete the following:
- MAP5641 - Financial Mathematics I (3)
- MAP6642 - Financial Mathematics II (3)
- Complete the following:
- MAP6207 - Optimization Theory (3)
- MAP6387 - Numerical Linear Algebra (3)
- Complete the following:
- MAP6416 - Applied and Computational Harmonic Analysis (3)
- MAP6445 - Approximation Techniques (3)
- Complete at least 2 of the following:
- MAP5336 - Ordinary Differential Equations and Applications (3)
- MAP6356 - Partial Differential Equations (3)
- MAP7359 - Advanced Topics in Partial Differential Equations (3)
- Complete at least 2 of the following:
- MAP6218 - Stochastic Calculus (3)
- MAA6238 - Measure and Probability I (3)
- MAA6245 - Measure and Probability II (3)
- Complete at least 2 of the following:
- MAP6111 - Mathematical Statistics (3)
- MAP6469 - Bayesian Analysis and Approximation Theory (3)
- MAA7239 - Asymptotic Methods in Mathematical Statistics (3)
- Complete at least 2 of the following:
- MAA6416 - Topology (3)
- MTG6345 - Algebraic Topology (3)
- MTG5256 - Differential Geometry (3)
- After the completion of the core courses, the program requires all students to complete one of the following two-semester sequences or two courses of three-course sequence. Sequences are pairs of related courses that give advanced knowledge in an area of mathematics. The course sequence listed above shows examples of acceptable sequences using current courses. Each sequence other than sequences listed above must be approved by the graduate program director. We expect that other sequences will be developed as our program grows.
Mathematics Unrestricted
6 Total Credits
- Earn at least 6 credits from the following types of courses: Unrestricted electives should be chosen in consultation with the graduate program director or the student's thesis adviser and may be chosen from the suggested options: Approximation Theory, Applied and Computational Harmonic Analysis, Big Data and Mathematical Statistics, Combinatorics and Graph Theory, Commutative Algebra and Algebraic Geometry, Control and Optimization, Differential and Symplectic Geometry, Fluid and Plasma Dynamics, Functional Analysis, Inverse and Ill-posed Problems, Mathematical Biology, Mathematical Finance, Machine Learning, Nonlinear Waves and Nonlinear Dynamics, Numerical Analysis, Orthogonal Polynomials, Partial Differential Equations, Probability and Stochastic Analysis, and Tomography and Medical Imaging. A list of courses for these elective options can be obtained from the graduate program director. Students are encouraged to take more than one sequence of restricted electives. At most 6 credit hours on Independent Study or Directed Research can be used as Mathematics Unrestricted. At most 6 credit hours of graduate courses outside the department may be used as Mathematics Unrestricted. Courses taken outside the mathematics department must be approved by the graduate program director.
Professional Development Restricted Electives and Internship
6 Total Credits
- Complete 1 of the following
Option 1- Complete at least 2 of the following:
- ENT6016 - New Venture Design (3)
- ENT6617 - Entrepreneurship in Established Organizations (3)
- ENT6946 - Small Business Consulting (3)
- MAN6245 - Organizational Behavior and Development (3)
Option 2- Complete all of the following
- Complete at least 1 of the following:
- ENT6016 - New Venture Design (3)
- ENT6617 - Entrepreneurship in Established Organizations (3)
- ENT6946 - Small Business Consulting (3)
- MAN6245 - Organizational Behavior and Development (3)
- Earn at least 3 credits from the following types of courses: A student takes an industrial internship (MAP 6946) with satisfactory completion, or takes the seminar sequence: MAP5931 -Proseminar for Financial Mathematics (1) and MAP 5933 -Seminar in Financial Mathematics (2).
Option 3- Complete all of the following
- Complete at least 1 of the following:
- ENT6016 - New Venture Design (3)
- ENT6617 - Entrepreneurship in Established Organizations (3)
- ENT6946 - Small Business Consulting (3)
- MAN6245 - Organizational Behavior and Development (3)
- Complete at least 1 of the following:
- MAP5117 - Mathematical Modeling (3)
- MAP6197 - Mathematical Introduction to Deep Learning (3)
- MAP6195 - Mathematical Foundations for Massive Data Modeling and Analysis (3)
Grand Total Credits: 30
Application Requirements
Financial Information
The program has limited amount of graduate teaching assistantships available for full-time students in the master program.
Graduate students may receive financial assistance through fellowships, assistantships, tuition support, or loans.
For more information, see the College of Graduate Studies Funding website, which describes the types of financial assistance available at UCF and provides general guidance in planning your graduate finances. The Financial Information section of the Graduate Catalog is another key resource.
Fellowship Information
Fellowships are awarded based on academic merit to highly qualified students. They are paid to students through the Office of Student Financial Assistance, based on instructions provided by the College of Graduate Studies. Fellowships are given to support a student's graduate study and do not have a work obligation. For more information, see UCF Graduate Fellowships, which includes descriptions of university fellowships and what you should do to be considered for a fellowship.
The program consists of 30 credit hours of courses and internship. Students will work with an adviser to design a program of study, which will be presented to the program director for approval. If a student has an industrial sponsor, the student's program of study will be developed in consultation with a representative from his sponsoring company. Students are expected to obtain hands-on experience. The capstone requirement for this track is fulfilled by students completing an experiential learning requirement (3 credit hours). At least one-half of the program courses must be taken at the 6000 level.
