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Mathematics Graduate Certificate

About The Program

The Graduate Certificate in Mathematics is an 18-credit-hour program consisting of elective graduate-level mathematics and statistics courses designed to deepen and broaden students' knowledge, application, and appreciation of advanced mathematics and statistics.

The program is intended for:

  • Post-baccalaureate students who seek to extend their undergraduate mathematics and statistics education.
  • High school teachers who seek professional development, especially towards the qualification to teach college-level math courses in concurrent enrollment programs.
  • Mathematics instructors who seek qualification to teach at colleges and universities.
  • Individuals who seek professional advancement in their current careers.

Course Scheduling

Graduate courses are offered in the fall, spring, and summer sessions. Courses that meet during the fall and spring terms are 15 weeks in length and meet one evening per week, generally on Thursday evenings starting at 6:00 pm. Courses offered during the summer generally meet five days per week (MTWHF) for two weeks at the end of June.

Shown below is a tentative schedule of upcoming course offerings:

Spring 2023 Math 615 Advanced Discrete Mathematics
Summer 2023 Math 611 Data Science and Analytics
Fall 2023 Math 620 Stochastic Processes
Spring 2024 Math 650 Dynamical Systems

Student outcomes

Upon attaining the graduate certificate, students will be able to:

  • Demonstrate understanding of graduate-level topics arising in diverse area of mathematics and/or statistics.
  • Communicate mathematical concepts in writing and orally at an advanced level.
  • Demonstrate mathematical problem-solving skills at an advanced level.


How to enroll

Program eligibility requirements

Students must have a Bachelor's degree in Mathematics, Mathematics Education or a closely related field.

International Students

This is not a degree-granting program, therefore applications from international students studying on an F-1 student visa cannot be accepted into this program.

Application instructions

Metro State University is participating in the common application for graduate programs (GradCAS). Applications are only accepted via the CAS website.

CAS steps

  1. Select the term for which you are seeking admission (below), and navigate to the CAS website. Open applications include:
  2. Create or log in to your account and select the Mathematics Graduate Certificate program.
  3. Carefully review all instructions and complete all four sections of the application.

Specific application requirements for individual programs can be found on each program page in CAS. Carefully read the instructions that appear throughout the application pages. You can only submit your application once. If you need to update information you have submitted, please notify

Application fee

A nonrefundable $38 fee is required for each application.
Applications will not be processed until this fee is received.

Active-duty military, veterans, and Metro State alumni can receive an application fee waiver. Contact

Courses and Requirements


To complete the Graduate Certificate of Mathematics program, students must complete a minimum of 18 credit hours of graduate-level course work in mathematics or statistics. At most 4 credit hours of graduate coursework may be transferred into the program, with approval of the Mathematics & Statistics Department.

The Department of Mathematics & Statistics offers a diverse range of course options. All courses in this program are elective. New 600 level mathematics courses may be developed that are not yet on this list. Check with your advisor to be sure any courses not on this list will count toward your certificate.

Grad Certificate Requirements

Take 18 credits from the courses listed below.

+ Courses

This graduate course studies the logical foundations of mathematical analysis using fractal examples to direct our intuition. The tools of analysis give us the machinery for constructing the most complicated mathematical objects, which are used to solve the problems in differential equations, probability, geometry, calculus and functional analysis. Learning how to construct fractals of various types helps us understand the apparatus researchers use to construct solutions to differential equations, stochastic processes, and the most difficult extremal problems. These solutions form the basis of the theories of all classical hard sciences, as well as many new fields such as signal processing, control theory and systems engineering. We will explore the topics of metric spaces and point set topology, measure theory and probability, Hausdorff dimension and chaotic dynamics. This course will serve students with a bachelor's degree in mathematics or closely related fields wishing to deepen…

Full course description for Analysis and Fractals

This course is the application of statistical knowledge in reading, evaluating, and utilizing research findings. Students will know and understand the advanced statistical methods applied in the health sciences, and the students will develop the skills required to critique research, especially nursing research, and to have an understanding of the fundamental requirements of conducting their own research studies.

Full course description for Advanced Biostatistics in Health Research

This course covers the techniques for construction, analysis and evaluation of mathematical models that are used to aid in the understanding of questions arising in the natural, physical and social sciences, business and engineering. Students will learn how to implement mathematical models on the computer and how to interpret and describe the results of their computational experiments.

Full course description for Mathematical Modeling and Its Applications

This course presents a broad introduction to the subject of dynamical systems, both continuous and discrete. We analyze the existence, uniqueness, stability, and control of linear and nonlinear systems and the topics of bifurcation, flows, limit cycles, chaos, and catastrophe theory. This course will serve students with bachelor¿s degrees in mathematics or closely related fields wishing to deepen their mathematics education, and technical professionals, high school teachers, and math instructors seeking professional development or qualifications for teaching community college courses.

Full course description for Dynamical Systems

This course covers divisibility; congruences and residues, including the Chinese Remainder Theorem; primes and their distribution; the Euler-phi function; quadratic reciprocity; public-key cryptography, particularly the RSA cryptosystem; elliptic curves and their group structure.

Full course description for Number Theory