基于MATLAB的高职数学教学设计——以二重积分概念的引入为例

Design of Higher Vocational Mathematics Teaching based on MATLAB——Taking the introduction of the concept of double integral as an example

二重积分是高等数学教学中的重难点,在引入该知识点时,通常通过计算曲顶柱体的体积,但利用“微元法”分割、近似、求和、取极限求曲顶柱体体积的过程非常抽象,学生较难掌握。利用MATLAB软件详细计算“微元法”每一步的结果,通过实际数据帮助学生直观理解,从而轻松化解课程的重难点。

Double integral is a difficult point in the teaching of advanced mathematics. When introducing this knowledge point,we usually calculate the volume of the curved top cylinder. However,the process of dividing,approximating,summing,and taking the limit of the volume of the top cylinder by the"micro-element method"is very abstract,and it is difficult for students to master. Use Matlab software to calculate the results of each step in detail,and help students understand intuitively through actual data,thus easily solving the difficult points of the course.