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course description

course description - notions of equilibrium stability...

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One major objective of this course is to train students to understand and model the dynamics of change. Differential equations are used as a mathematical language to facilitate discussions on dynamic phenomena. A good fraction of the time in this course is spent in developing some mathematical tools to analyze the dynamic models. However, the focus is not on the tools but on how such tools can help us to think about the dynamics of change as well as on how to deal with such change. The analytical part of the course will be on mathematical analysis of linear and nonlinear dynamic systems. The
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Unformatted text preview: notions of equilibrium, stability, growth and limit cycle will be introduced and discussed in terms of some classic examples in ecology, economics and competition. The course will also give an introduction to Catastrophe Theory, which provides a mathematical model for certain discontinuous phenomena like the crash of the stock market and the extinction of species. The course also introduces optimal control theory and its application to dynamic economic analysis, dynamic pricing and dynamic platform competition. Prerequisites: Math 103 Matrix Theory and Its Applications or equivalent....
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  • Spring '08
  • EdisonTse
  • Optimal Control Theory, Nonlinear Dynamic Systems, certain discontinuous phenomena, dynamic economic analysis

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