一道考研数学题的深度思考

Reflection on a Mathematical Problem from NEEP

本文通过对一道考研数学题错误的解法加以分析,引出《高等数学》中一系列问题也会犯同样的错误,进而找出出错的根源.另一方面作者发现,同济版《高等数学》内容上存在一些不足,为以后《高等数学》的教学、教材的编撰和修改提供了一定的理论参考.

By analyzing an incorrect solution of a mathematical problem selected from the National Postgraduate Entrance Examination （NEEP）, which can also be found in the study of Advanced Mathematics, this paper discusses the causes of the problem and some shortcomings in the content of Advanced Mathematics published by Tongji university press. This paper also provides a theoretical reference for the teaching and revision of Advanced Mathematics.