在“常微分方程”教学中融入数学建模思想的探讨

Discussion on Permeating Mathematical Modeling Thought in Ordinary Differential Equation Teaching

以激发学生的求知欲望和创新精神为目标,本文在教学实践的基础上,探讨了在"常微分方程"教学中融入数学建模思想的方法和途径。笔者通过适当引入常微分方程模型案例,注重理论和应用相结合,加强计算机软件和实际算法实现等,进一步发挥常微分方程对提高大学生数学思维能力和数学应用能力的重要作用。

In order to stimulate students＇ enthusiasm and innovation in mathematics,this paper discusses the methods and approaches on permeating mathematical modeling thought in ordinary differential equation teaching,which is based on the teaching practice.By introducing appropriately ordinary differential equation modeling materials,integrating theories with practices,strengthening the computer software and actual algorithm and so on,the authors enhance the important role of ordinary differential equation in improving college student＇ mathematical thinking ability and application ability.