Dynamical Systems and Mathematical Modeling Graduate Certificate

This certificate prepares students to describe, formulate and analyze real world problems in mathematical terms. Students will be exposed to a broad range of applicable analytical tools arising in different areas of mathematics such as Dynamical Systems, Partial Differential Equations, etc. Examples that can be treated with these tools include mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, the random motion of particles in the air, and the number of fish each springtime in a lake, predator-prey model, Keynesian cross model of a national economy, binocular rivalry in visual perception, opinion dynamics, and protein dynamics.

Program Requirements

  • At least 12 credit hours

  • All courses must be taken for a grade.

  • A grade point average of 3.0 or above is required for the completion of the certificate.

  • All four courses must be taken at Miami University.


  • A grade of C- or better in MTH 222, MTH 245 (MTH 246 or MTH 347), MTH 252, MTH 331, and  MTH 441/541 or their equivalents (MTH 441/541 is only required for MTH 655 and this prerequisite can be waived by permission of the instructor). 
Select at least three of the following:9
Applied Linear Algebra
Introduction to Partial Differential Equations
Introduction to Applied Nonlinear Dynamics
Select enough additional courses from the following list, or from the list above, to meet the hours requirement:3-4
Mathematical Modeling Seminar
Introduction to Complex Variables
Advanced Differential Equations
Total Credit Hours12-13