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Dec 30, 2024
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MATH 554 - Functions and Modeling(3 cr) This course is an introduction to mathematical modeling of deterministic systems that can be represented by ordinary differential equations. The main thrust of the course is the study of the stability of models about equilibrium using Maple, which is introduced early in the course and seems to make phase-plane analysis very accessible. The student becomes familiar with the necessary background literature in ordinary differential equations to understand the different types and aspects of stability, Lyapunov functions, and a sufficient understanding of phase-plane analysis to make a complete analysis on nonlinear systems. Some of the models: predator/prey models, competition and combat models. In addition, students are required to make a presentation in class of a particular model with a detailed analysis furnished to the class. Prerequisites: MATH 310 .
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