不同专业下曲线与曲面积分教学模式探讨

On the Teaching Model of the Curve and the Surface Integral to Different Specialties

曲线和曲面积分一直是理工类各专业《高等数学》课程中的教学重点和难点.为有效地提高课堂教学质量,通过对曲线与曲面积分的内容结构以及对现有课堂教学模式的分析,根据不同专业的不同教学要求,分别对理论性、应用性且前瞻性较强的三类专业提出应采用的教学模式,同时提出了有关背景教学、解法分析、结论梳理等教学环节以及一些实施策略.

The curve and the surface integral have been the technical focal point and difficulty in the teaching of Advanced Mathematics of science and engineering specialties. To improve the classroom teaching quality efficiently, this paper firstly analyses the structure and the existing classroom instruc- tion pattern of this partial content and then according to the different teaching requirement to this partial content of different specialty, this paper puts forward respectively the corresponding teaching model that should be used for the Strong theoretical, the strong utility, as well as the strong forward - looking spe- cialties. The strategy of enforcement in related teaching links are also proposed, such as the background teaching, the method analysis, the conclusion combination and so on, which may afford reference and lessons for the curve and the surface integral teaching of different specialties.