第二类曲面积分教学难点之突破  

The Break-through of the Difficulty in Teaching Surface Integrals of the Second Type

作　　者：孙庆虎[1] 

机构地区：[1]安徽大学数学科学学院,合肥230039

出　　处：《合肥学院学报（自然科学版）》2011年第1期74-77,81,共5页Journal of Hefei University :Natural Sciences

基　　金：安徽大学211工程三期教学质量工程经费(XJ200904);安徽省2010年高等学校教学质量与教学改革工程项目(20100175)基金资助

摘　　要：运用微元分析法由浅入深导入第二类曲面积分概念,根据被积表达式构成元素分析得出第二类曲面积分定义的不同形式,通过定义不同形式的变化关系推导了第二类曲面积分的基本计算方法,结合竞赛题的一题多解说明基本算法的要点,有效突破高等数学的这一教学难点.The concept of surface integrals of the second type is introduced by Infinitesimal Analysis Method from easy to complex. The analysis of the elements in the surface integrals expression suggests the different forms of the concept. Analyzing the relationship of different forms deduces the elemental computational methods. This paper illustrates the essentials of each computational method by explaining several solutions to one problem in competition, which effectively breaks through this difficulty in teaching advanced mathematics.

关 键 词：微元法 第二类曲面积分 有向投影 教学难点 

分 类 号：G642.5[文化科学—高等教育学]