重庆工商大学学报:自然科学版
重慶工商大學學報:自然科學版
중경공상대학학보:자연과학판
Journal of Chongqing Technology and Business University:Natural Science Edition
2012年
4期
50-54
,共5页
Matlab%重积分计算%积分区域%投影区域
Matlab%重積分計算%積分區域%投影區域
Matlab%중적분계산%적분구역%투영구역
Matlab%multiple integral calculation%integral domain%projection area
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Mmlab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。
重積分是高等數學教學的重點和難點,特彆是重積分的計算比較複雜,其中涉及積分區域的確定、交換積分次序等;Matlab軟件在求解重積分的數值解方麵有較大優勢,其函數庫中包含瞭求解簡單重積分的函數;對複雜的積分,可以先利用Matlab繪製齣積分區域,確定積分區域類型,再利用相應函數進行求解;針對二重積分和三重積分的幾種不同情況利用Mmlab進行瞭實例說明,併給齣瞭相應的程序;Matlab操作和縯示較為方便,在輔助重積分教學方麵優勢明顯。
중적분시고등수학교학적중점화난점,특별시중적분적계산비교복잡,기중섭급적분구역적학정、교환적분차서등;Matlab연건재구해중적분적수치해방면유교대우세,기함수고중포함료구해간단중적분적함수;대복잡적적분,가이선이용Matlab회제출적분구역,학정적분구역류형,재이용상응함수진행구해;침대이중적분화삼중적분적궤충불동정황이용Mmlab진행료실례설명,병급출료상응적정서;Matlab조작화연시교위방편,재보조중적분교학방면우세명현。
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.