复变函数教学中直观性原则应用的思考与实践

Thinking and Practice on Using Intuitive Principle in the Teaching of Complex Function

复变函数教学过程中直观性原则的应用,就是在直观性原则的理念下,结合复变函数课程的自身特点应用不同的直观形式,恰当地向学生讲解复变函数的内容.可以通过背景直观形式、模式与类比直观形式和经验与类比直观形式等方法进行教学.

Complex function is a required course for students of engineering. The learning of complex function is based on mathematical analysis or higher mathematics. Its abstract and logic are far more than mathematical analysis and higher mathematics. The students are confused about the theoretical background and they can＇t understand the value of learning it. It＇s generally difficult to learn for students. How to develop the interest in learning and improve the learning efficiency in the use of intuition and experience is one of the problems that must be resolved in the teaching of complex function. In this paper, combined with the characteristics of complex function, we will show how should we use intuitive principle appropriately in the teaching of complex function.