定积分概念教学中的几个重要例题探析  

A Preliminarily Discussion on Several Important Examples in Definite Integral Concept Teaching

作　　者：周宗好[1] 宋汩[1] 

机构地区：[1]黄山学院数学与统计学院,安徽黄山245041

出　　处：《黄山学院学报》2014年第3期114-116,共3页Journal of Huangshan University

基　　金：安徽省教育厅自然科学研究项目(KJ2013B272);黄山学院自然科学研究项目(2014xkjq006)

摘　　要：定积分计算是高等数学教学的重点,由于计算方法多因此也构成教学的难点之一。文章介绍了定义法、蒙特卡罗(Monte Carlo)法计算定积分以及利用定积分计算任意两条曲线围成图形面积,旨在让学生理解定积分的定义及本质。It is important to calculate definite integral, and it is difficult to calculate it because there are a number of methods for doing this. The paper introduces how to calculate definite integral using definition method and Monte Carlo method, and how to calculate the area of arbitrary figure modeled by two functions in order to help the students understand the definition and essence of definite integral.

关 键 词：定积分 蒙特卡罗法 定义法 教学 

分 类 号：G642.44[文化科学—高等教育学]