张量分析教学内容改革的研究与实践

The Thinking and Practice of the Teaching Reformation on the Course Content for Tensor Analysis

张量的概念和张量分析在力学和物理学中得到了广泛应用。目前在高等院校理工科本科教学中,不可避免地涉及到《张量分析》课程或相关内容的讲授。在该课程教学中,除了训练学生扎实、系统地掌握张量的定义、本质、运算和应用外,还应注重对学生综合能力、实践能力和创新能力的培养。结合笔者教学工作体会,为了提高教学效果提出了课程教学内容改革的措施,包括优化和拓展教学内容、加强与先修和后修课程的联系等。实践证明,该方法的教学效果良好。

The concept of tensor and tensor analyses has wide application in mechanics and physics.At present,teaching tensor analyses as an independent course or a chapter in relevant courses is very popular for science and engineering undergraduate students in college or university.For the course of tensor analysis,the objective is to systematically training the students to master the definition,basic characters,calculation and application of tensor algebra,as well as to improve .their comprehensive,practical and innovation abilities in scientific thinking.Based on many years teaching experience of the authors,some reformation measures on the course content are proposed to improve teaching effect, which includes optimization and extension of course content and strengthen the relation with the prerequisites and subsequent courses.The application of these measures in teaching has received good effect.