常微分方程教学中的案例分析

Some Case-teaching Analysis in the Course of Ordinary Differential Equation

常微分方程作为一门实践性很强的课程,案例教学能提高学生的学习兴趣。讨论了常微分方程教学过程中的几个具体案例,包括人口学中的Logistic模型、传染病问题中的SIR模型、湖水污染模型以及捕食者-食饵模型。通过案例教学,能使学生理论联系实际,更好地掌握常微分方程理论。

As a practical course and case teaching ,ordinary differential equation can improve students′in-terest in learning course .It discussed several specific cases in the process of the ordinary differential e-quation teaching ,which contain the Logistic model of population problem ,the SIR model of infectious dis-eases problem,the lake water pollution model and prey-predator model.Through the case teaching,the students can make integrating theory with practice and grasp better the theory of ordinary differential e -quations .