在每次讲授高等数学时,常见同学犯一些同样类型的错误,我们分析其原因主要有二,一是同学们对一些内容没有理解清楚,容易出现疏忽,二是有些内容同学们很难理解、不易掌握。针对这些情况,我们例举一些典型的问题,分析说明,以供大家参考。为了配合当前电视大学的教学,本文仅就多元函数求导和重积分计算中的问题谈一谈。 Every time I teach advanced mathematics, students often commit some of the same types of mistakes. There are two main reasons for our analysis. First, students do not understand some of the contents and are prone to negligence. Second, some students find it hard to understand, Not easy to grasp. In response to these situations, we cite some typical problems, analysis and explanation, for your reference. In order to cope with the teaching of the current TV universities, this article only talks about the problem of multivariate function derivation and re-integration.