高等数学应用案例教学的设计与实践--以二阶常系数齐次线性微分方程为例

The Design and Implementation of Applied-case Teachingin Higher Mathematics: Taking Second -order LinearHomogeneous Differential Equation with Constant Coefficients as an Example

顺应新工科背景下建设一流本科课程的潮流,以应用性较强的二阶常系数齐次线性微分方程为例,采用案例教学法设计并实施符合高等数学课程特点的教学过程。教学实践表明,应用案例教学可以提高教学效果,提升学生分析和解决问题的能力,助力新工科背景下高素质专业人才的培养。

In order to comply with the development of first-class undergraduate curriculum under the background of new engineering,this paper selects second-order linear homogeneous differential equation with constant coefficients,which has many applications,as an instance and adopts case teaching method to design and implement teaching process conforming to the characteristics of higher mathematics.The teaching practice shows that applied-case teaching method can be used to improve teaching effectiveness and students'ability to analyze and solve problems,so it is useful to cultivate qualified professionals.