计算函数卷积的两种方法  

Two Kinds of Methods on Calculation of Function Convolution

作　　者：王桂花[1] 蒋里强 孟祥德 兰社云[1] 

机构地区：[1]郑州师范学院数学与统计学院,郑州450044 [2]防空兵学院基础部,郑州450052

出　　处：《大学数学》2013年第3期151-155,共5页College Mathematics

基　　金：河南省软科学研究计划项目--数学探究教学的理论与实践研究

摘　　要：用图形变换法和积分法分别计算函数的卷积.图形变换法有助于培养学生的直观想象、绘图和工程实践能力,积分法有助于培养学生的逻辑思维和分析能力.两种方法都非常典型,有特点,从不同角度培养学生的计算能力.教学中,教师应将两种方法做一对比,兼收图形变换法形象直观和积分法分析自然之特点,让学生对卷积计算融会贯通.This paper provides two methods on calculation of function convolution to train calculating capability of students from different points of view. The figure transformation method is helpful to cultivate the capabilities of students in visual imagination , painting ,engineering practice and so on. The calculus method is helpful to cultivate the capabilities of students in logic thinking and analysis. The two classical methods have remarkable characters. During the teaching process, teachers should compare and summarize the advantages and disadvantages of the two methods leading students to understand and get the key points of calculation of function convolution.

关 键 词：函数卷积 图形变换法 积分法 

分 类 号：O172.2[理学—数学]