Mathematical Modeling 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, Linear Algebra, Graph Theory, etc. Examples that can be treated with these tools
include mathematical models that describe the flow of water in a pipe, Keynesian cross model
of a national economy, opinion dynamics, protein dynamics, chemical oscillators, predator-prey
model, genetic control systems, chaotic waterwheels, neural networks and network flows.

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.


  • Mathematics courses: MTH 222, MTH 245 (MTH 246 or MTH 347), MTH 252, and MTH 331 (MTH 331 is only required for MTH 432 and MTH 438).
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
Mathematical Modeling Seminar
Theory and Applications of Graphs
Total Credit Hours12