本科毕业论文-线性代数教学案例编写及实例研究.doc

线性代数教学案例编写及实例研究 摘 要 线性代数是高等院校理工科及经济学科各专业均开设的一门重要的基础课程，随着计算机技术的迅速发展，线性代数在理论和应用层面上越来越显示其重要作用；它也是学习力学、运筹学、计算数学、离散数学、数学建模等后续课程的必要基础。由于该课程的抽象性，在该课程的教学实践中，需要通过精心编写课堂中的教学案例与现实生活中的实例来提炼相关概念，并用理论解决实际问题。本文首先对线性代数的历史追溯，阐明线性代数主要由三个基本计算单元构成的，即：向量（组）、矩阵、行列式。其次，研究线性代数在各学科领域以及在学习研究中的作用。再者，就是编写课堂教学案例和线性代数的实际运用，对所编写的教学案例进行分析，阐明编写的缘由。最后，是探讨案例教学与能力的培养的关系，以及积极关注教学案例研究对教与学的促进作用。 关键词：线性代数；教学案例；实例研究；行列式；矩阵 Teaching case writing and living examples study of Linear Algebra Abstract Linear Algebra and economic disciplines of science and engineering institutions of higher learning are the professional opened an important foundation courses, with the rapid development of computer technology, linear algebra in the theory and application level has increasingly shown its important role; it is also learn mechanics, operations research, computational mathematics, discrete mathematics, mathematical modeling and other necessary basis for follow-up courses. Since the course abstraction, in the course of teaching practice, need well-written classroom teaching cases and real life examples to refine the concepts and use theory to solve practical problems. This article first traced the history of linear algebra, linear algebra consists of three main clarify basic computational unit consisting of, namely: vector (group), matrix, determinant. Secondly, the study of linear algebra in various subject areas as well as the role of research in the study. Furthermore, is the preparation of teaching cases and the practical application of linear algebra, for the preparation of teaching case analysis to clarify the reason for writing. Finally, the case study is to explore the relationship and ability, as well as an active interest in teaching case studies on teaching and learning role in promoting. Keywords linear algebra;teaching case;study examples;matrix;determinant 目 录 第1章 绪论 1 1.1 本论文的背景和意义 1 1.2 本论文的主要方法和研究进展 1 1.2 本论文的主要研究内容与预期目标 2 第2章 线性代数的发展历程 3 2.1 线性代数概述 3 2.2 行列式的发展 32.3 矩阵的发展 4 第3章 线性代