复变函数与高等数学内容比较与教学实践

Comparison of Contents and Teaching Practice between Complex Function and Advanced Mathematics

复变函数与高等数学同属于分析类课程,有很多相似的知识点.已有的研究更多地专注于将两门课程类比,以提高课堂上的教学效率.本文着重探究两门课程的不同,不仅全面地比较了课程内容,而且探讨了与之相关的典型的教学实施案例,提出具体的实施程序和扼要的关键点.

Complex function and advanced mathematics belong to the analysis course and have many similar knowledge points.The existing research works focus more on the analogy of the two courses to improve the efficiency of classroom teaching.This paper though focuses on the differences between the two courses,not only compares the contents of the courses comprehensively,but also explores the typical teaching implementation cases related to them,and puts forward specific implementation procedures and key points as well.