实验班数学分析课程教学改革初探

Preliminary Discussion about the Teaching Reform of the Course on Mathematical Analysis for Experimental Classes

数学分析课程是数学及相关专业如数学与应用数学、信息与计算科学、统计学、理工科等的核心专业课,是实变函数、复变函数、泛函分析、常微分方程、概率论与数理统计、拓扑学、微分几何等大学后续课程的基石。结合近年来数学分析课程教学的实践,针对实验班数学分析课程的教学体会与经验共享于同行。

The course on Mathematical Analysis is the core course of mathematics and related majors,such as mathematics and applied mathematics,information and computing science,statistics,science and engineering etc.,and it is the cornerstone of the follow-up courses,such as Real Variable Function,Complex Variable Function,Functional Analysis,Ordinary Differential Equation,Probability Theory and Mathematical Statistics,Topology,Differential Geometry,etc.Based on the teaching practice of the course of Mathematical Analysis in recent years,the author gives some suggestions on the teaching of Mathematical Analysis for experimental classes.