3 credits
Fall 2025 Lecture Upper Division
An introduction to analysis of complex system dynamics that appear in biology, medicine, and healthcare. Key topics include nonlinear dynamical concepts associated with phase plane, bifurcation, stability diagram, oscillation, and chaotic systems along with concepts from discrete systems and stochastic processes. These topics are taught within the context of mathematical and computational models related to both non-communicable diseases (i.e. cancer) and communicable diseases (i.e. HIV/AIDS). Courses projects are drawn from recent literature.
Learning Outcomes1Graphically, analytically, and numerically analyze nonlinear dynamical models and numerically analyze discrete-event and stochastic models of biological, medical, or healthcare systems.
2Describe possible behaviors of a given system, including how a system may be manipulated within the inherent boundaries.
3Present, in oral and written format, an analysis and critique of the application of dynamical modeling of a biological system to solve or understand an engineering problem.
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made by Purdue students.