游明琳

摘 要：微分幾何的教學过程中往往由于抽象和运算复杂，使学生难以理解和接受，通过运用Matlab强大的绘图和计算能力，对微分几何中的几个重要概念，向量函数的导数和极限，曲线弧长，曲线的曲率与挠率，通过典型范例运用Matlab编程计算以及图形描绘，教学效果表明Matlab与微分几何结合能有效克服内容抽象，有助于激发学生的学习兴趣。

关键词：Matlab；微分几何；算法实例

中图分类号：G642 文献标志码：A 文章编号：2096-000X（2017）06-0092-02

Abstract： In the process of teaching differential geometry， it is difficult for students to understand and accept because of the complexity of abstraction and operation. By using Matlab's drawing and calculating ability， several important concepts in differential geometry such as derivative and limit of vector function， Arc length， curvature and torsion of the curve can be shown by using Matlab programming and graphing. The teaching results show that the combination of Matlab and differential geometry can effectively overcome the content abstraction and help stimulate students' interest in learning.

Keywords： Matlab； differential geometry； algorithm examples