面向实际工程应用的线性代数教学研究

Research on Linear Algebra Teaching Based on Practical Engineering Application

面向实际工程应用的线性代数课程教学是线性代数教学发展趋势。以线性代数矩阵迹的实际工程应用为例,阐述了国防科学技术大学线性代数教学团队实践的一条以理论教学促进工程发展、科研实践丰富理论教学应用、科研相互促进的良性发展模式。该教学模式丰富了教学实验案例,提高了学生学习线性代数的兴趣,使得教师和学生均"在研究中学习、在学习中研究",培养了教师和学生的研究能力和创新能力。

The course teaching for linear algorithm based on problem motivating is the trend in linear algorithm teaching. Taking the practical engineering application for matrix trace in linear algorithm as an example, it is expounded that the teaching team of linear algebra of the National University of Defense Technology practice the benign development pattern which theory teach- ing promotes the development of engineering, scientific research practice enriches theory teaching application, scientific researches promote each other. The teaching model enriches teaching experiment case, improves the students＇ interest in learning linear alge- bra, so that both teachers and students ＂learn in research, research in learning＂, the teachers＇ and students＇ research abilities and innovation abilities are cultivated.