数学建模思想融入数值分析课程的改革与实践

Reform and Practice of Integrating Mathematical Modeling into Numerical Analysis Course

数值分析是一门理论与实践紧密结合的课程。在教学的实践过程之中,既要注重讲解课程内容的基本概念、算法思想和解题方法,更要通过实际问题来说明方法的应用。针对数值分析课程的特点,阐述了将数学建模思想融入数值分析的重要意义和改革内容,并结合曲线拟合和插值法这两个知识点,相应地设计出数学建模实践教学案例。

Numerical analysis is a course which closely combines theory with practice.In the process of teaching practice,we should not only pay attention to the basic concept of the course content,the algorithm thought and the method of solving the problem,but also explain the application of the method through the practical problems.According to the characteristics of the numerical analysis course,this paper expounds the significance and reform content of integrating mathematical modeling into numerical analysis.Combining with two knowledge points of curve fitting and interpolation,we design corresponding practice teaching cases with the mathematical modeling,respectively,which can enrich classroom teaching methods,stimulate students interest in learning,improve the level of mathematical modeling,and enhance the ability of computer programming.