高数课程中内容扩展时的更新问题

Updating in content extending for the courses of higher mathematics

在高等数学课程中,从平面解析几何扩展到空间解析几何,从一元微积分扩展到多元微积分时,既有量的直接扩展,又全面存在着质的变化,对许多概念、命题、方法需要重新审视,进行改造和更新。就高数课程中多元函数微积分教学的基本思路,笔者进行了一些分析、探讨。

In the higher mathematics course,from graphic analytic geometry extended to the space analytic geometry,from unitary calculus expanded to multiple calculus,both the amount of direct expansion,and comprehensive exist a qualitative change,for many concept,proposition,method need reviewing,transformed and updated.This paper discusses some basic teaching problems about multivariate function calculus in the courses of higher mathematics.