MATLAB在重积分计算中的应用

Application of MATLAB to Computing Multiple Integral

重积分是高等数学教学的重点和难点,特别是重积分的计算比较复杂,其中涉及积分区域的确定、交换积分次序等;Matlab软件在求解重积分的数值解方面有较大优势,其函数库中包含了求解简单重积分的函数;对复杂的积分,可以先利用Matlab绘制出积分区域,确定积分区域类型,再利用相应函数进行求解;针对二重积分和三重积分的几种不同情况利用Matlab进行了实例说明,并给出了相应的程序;Matlab操作和演示较为方便,在辅助重积分教学方面优势明显。

Multiple integral is an important and difficult part in advanced mathematical teaching, especially in multiple integral＇s calculation ,which involves in the determination of integral domain and the sequence of exchange integral and so on. The Matlab software has more advantages in calculating numerical solutions to multiple integral, its function-library furnishs several functions for solving simple multiple integral. For complicated integral, Matlab is used to draw the integral domain for identifying the type of integral doman at first, then corresponding functions are used to calculate. Several different examples of double and triple integral are discussed in this paper by using Matlab, and the corresponding codes are given. The operation and demonstration of Matlab is convenient, it has more advantages in aiding multiple integral＇s teaching.