Mathematical Science Graduate Certificate

The Graduate Certificate in Mathematical Science is designed to enhance mathematical foundation, rigor and proficiency, equipping students with the knowledge and skills needed to teach college-level mathematics effectively in high schools or colleges. The program provides a robust foundation in essential mathematical concepts and promotes analytical thinking and problem-solving skills, preparing students for both teaching and professional applications of mathematics.

The certificate requires the successful completion of 18 credit hours of graduate coursework selected from a pool of 12 foundational courses. This structure ensures that students gain a strong foundation in core mathematical principles while providing the flexibility to explore topics aligned with their individual interests and career aspirations.

This program is ideal for individuals seeking to advance their teaching credentials or deepen their mathematical expertise to contribute to the growing demand for qualified mathematics educators at the secondary and postsecondary levels.

Total Credit Hours Required: 18 Credit Hours Minimum beyond the Bachelor's Degree

Program Prerequisites

This is a rigorous postgraduate program in mathematics, and as such, all required courses in the program are proof-based, emphasizing logical reasoning and the formulation and validation of mathematical arguments. The program is designed to build on a strong mathematical foundation, ensuring students are well-prepared for advanced study and professional applications of mathematics.

To be eligible for admission to the graduate certificate program, students must demonstrate proficiency in foundational undergraduate mathematics. This includes mastery of the calculus sequence, differential equations, and linear algebra. In addition, applicants are expected to have familiarity with the principles and techniques of mathematical proof. This prerequisite knowledge should be equivalent to UCF’s MHF 3302: Logic and Proof in Mathematics, and, ideally, students should have completed MAA 4226: Advanced Calculus I or a comparable course to strengthen their readiness for the program's proof-intensive curriculum.

Degree Requirements

Required Courses

• Complete the following:
  • MAA5237 - Mathematical Analysis (3)
  • MAS5145 - Advanced Linear Algebra and Matrix Theory (3)

Elective Courses

• Earn at least 12 credits from the following:
  • MAA6405 - Complex Analysis I (3)
  • MAS5311 - Algebra I (3)
  • MAD5205 - Graph Theory I (3)
  • MAA6416 - Topology (3)
  • MTG5256 - Differential Geometry (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)

Grand Total Credits: 18

Application Requirements

Application Deadlines