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对比教学法在复变函数教学中的应用
引用本文:杨祺,曹月波,王娜.对比教学法在复变函数教学中的应用[J].甘肃教育学院学报(自然科学版),2014(1):106-110.
作者姓名:杨祺  曹月波  王娜
作者单位:[1]新疆师范大学数学科学学院,新疆乌鲁木齐830054 [2]石河子大学理学院,新疆石河子832003 [3]新疆教育学院数学学院,新疆乌鲁木齐830043
基金项目:新疆师范大学本科教学质量工程建设教学研究与改革项目(SDJGY2013-19)
摘    要:复变函数内容抽象,学生在学习这门课程时容易和数学分析中的类似概念混淆,产生思维定势,不能正确理解概念.把复变函数中的概念和数学分析中的类似概念进行对比讲解,不但能增加课堂趣味性,而且能充分展示类似概念的异同,进而让学生达到真正理解概念的目的.文中将探讨如何恰当地利用对比教学法向学生讲解复变函数.

关 键 词:复变函数  实变函数  对比教学法  应用

Study on Comparative Teaching in Complex Analysis
YANG QI,CAO Yue-bo,WANG Na.Study on Comparative Teaching in Complex Analysis[J].Journal of Gansu Education College(Natural Science Edition),2014(1):106-110.
Authors:YANG QI  CAO Yue-bo  WANG Na
Institution:1. School of Mathematical Sciences,Xinjiang Normal University, Urumqi 830054, China; 2. School of Science, Shihezi University, Shihezi 832003, China; 3. School of Maths and Information Sciences, Xinjiang Education Institude,Urumqi 830043, China)
Abstract:Complex function is abstract. It is easy to cause confusion and thinking set, to lack a proper understanding for the concept. Compared to the similar concepts of mathematical analysis in the teaching of complex function, not only can increase the fun in the class, and can fully demonstrate the similarities and differences between the similar concepts, then let the students to understand the concept. In this paper, how to properly teaching complex function of using comparative teaching was discussed.
Keywords:complex function  real variable function  comparative teaching  application
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