Mathematical Science (MS)

The Master’s program in Mathematics provides broad mathematical foundation, preparing students for careers in applied, financial, and industrial mathematics. Combining theoretical coursework driven by practical applications, the program emphasizes mathematical modeling, statistical analysis, financial mathematics, and computational methods. Students develop strong problem-solving skills through projects that simulate realworld scenarios, and they benefit from expert faculty and advanced resources. This program is ideal for those seeking a balance of mathematical depth and practical skills, ready to excel in fields that demand high-level mathematical expertise. This degree also offers two specialized tracks: Financial Mathematics and Industrial Mathematics, each designed to provide targeted expertise in these fields. Detailed information on these tracks can be found in this catalog.

The program requires a minimum of 30 credit hours beyond the bachelor’s degree and offers both thesis and non-thesis options to suit varying academic and career goals.

Total Credit Hours Required: 30 Credit Hours Minimum beyond the Bachelor's Degree.

Program Prerequisites

Bachelor's degree in mathematics or closely related field.

Students are expected to possess a solid foundation in undergraduate mathematics, including the calculus sequence, differential equations, and linear algebra. Additionally, they should demonstrate mathematical maturity comparable to that attained in an Advanced Calculus course, such as UCF’s MAA 4226.

Degree Requirements

Required Courses

• Complete at least 5 of the following:
  • MAA5237 - Mathematical Analysis (3)
  • MAA6405 - Complex Analysis I (3)
  • MAS5311 - Algebra I (3)
  • MAD5205 - Graph Theory I (3)
  • MAA6416 - Topology (3)
  • MTG5256 - Differential Geometry (3)
  • MAS5145 - Advanced Linear Algebra and Matrix Theory (3)
  • MAT5712 - Scientific Computing (3)
  • MAP5336 - Ordinary Differential Equations and Applications (3)
  • MAP6356 - Partial Differential Equations (3)
  • MAA5238 - Measure and Probability I (3)
  • MAP6111 - Mathematical Statistics (3)

Restricted Elective Sequences

• Earn at least 9 credits from the following types of courses: Students must complete additionally a minimum of 9 credit hours in advanced mathematical courses at the 6000 or 7000 level. This may include up to 3 credit hours from Independent Study (XXX 6908), Directed Research (XXX 6918), or Special Topics/Seminars (XXX 6939). Of the total required credits, at least 6 credit hours must be earned from courses offered by the Department of Mathematics. Any coursework taken outside the department requires prior approval from the graduate program director. Additionally, 6000-level courses from the list of core required courses that were not used to meet the required course requirements may count toward the 9-credit-hour minimum of restricted elective. Students' coursework must be planned in coordination with their advisor or the graduate program director. The list of approved electives includes: o MAA6245 - Measure and Probability II (3) o MAA6306 - Real Analysis (3) o MAA6408 - Complex Analysis II (3) o MAA6506 - Functional Analysis (3) o MAA7239 - Asymptotic Methods in Mathematical Statistics (3) o MAD6309 - Graph Theory II (3) o MAP 7386 - Numerical Solutions of PDE (3) o MAP6118 - Introduction to Nonlinear Dynamics (3) o MAP6195 - Mathematical Foundations for Massive Data Modeling and Analysis (3) o MAP6197 - Mathematical Introduction to Deep Learning (3) o MAP6207 - Optimization Theory (3) o MAP6218 - Stochastic Calculus (3) o MAP6385 - Applied Numerical Mathematics (3) o MAP6387 - Numerical Linear Algebra (3) o MAP6416 - Applied and Computational Harmonic Analysis (3) o MAP6445 - Approximation Techniques (3) o MAP6469 - Bayesian Analysis and Approximation Theory (3) o MAP7119 - Advanced Nonlinear Dynamics (3) o MAP7359 - Advanced Topics in Partial Differential Equations (3) o MAS6312 - Algebra II (3) o MTG6345 - Algebraic Topology (3)

Thesis/Nonthesis Option

• Complete 1 of the following
  Thesis Option
  • Earn at least 6 credits from the following types of courses: Thesis Option: Students in the Thesis option must complete a minimum of 6 credit hours of Thesis (XXX 6971). This option requires a total of at least 30 credit hours for the MS degree, consisting of at least 24 credit hours of coursework and 6 credit hours dedicated to the thesis. An oral defense of the thesis will be required.
  Nonthesis Option
  • Earn at least 6 credits from the following types of courses: Non-thesis Option: Students in the non-thesis option must complete at least 15 credit hours from restricted electives. Compared to the thesis option, non-thesis students take an additional 6 credit hours of coursework.

Independent Learning

• In the Mathematical Science MS program, the thesis option provides an independent learning experience through directed research, reading relevant research articles, and writing and defending a comprehensive thesis. The non-thesis option requires students to complete research-oriented advanced courses, including project-based activities.

Grand Total Credits: 30

Application Requirements

Application Deadlines

Financial Information

Fellowship Information