数学分析教学中教学方法的一些探讨

DISCUSS TEACHING METHOD OF MATHEMATICAL ANALYSIS

作为数学专业基础课的数学分析，在教学上历来都受到重视。本文针对该课程中的部分重点与难点问题，如几个重要极限的关系，洛必达法则与阶的估计的结合使用，一元函数可积的充要条件，三重积分化成累次积分后积分限的意义、第二类曲面积分侧的概念以及幂级数的求和等的教学方法，提出了作者的一些想法和建议．

Mathematical analysis,as a basic courses of a college mathematical curriculum,is being paid more attention all through the ages.In this article,the author puts forward some opinion and suggestion on teaching method about key and difficult problems of mathematical analysis,such as the relationship between important limits,using both L’Hospital’s rule and order estimation for problem solving,the sufficient and neccessary integrable condition of function with one variable,etc.