STUDY OF CONTROL THEORY FROM MATHEMATICAL VIEW POINT

该项目计划实现两个目标。一是将工程中出现的数学引入基础课程，二是从代数的角度进行研究。总而言之，第一个目标实现了，但第二个目标没有实现。然而，第二个目标的研究被用来开发第一个目标的教材。此外，张在控制理论方面取得了新的成果，作为她过去研究路线的延续。为了发展教材，我们在线性代数课和专门为此而设置的练习课中改进了教材，并在改进过程中掌握了如何将控制论中出现的数学课题引入线性代数课程的诀窍。我们还研究了这个介绍改变了学生的想法，从消极的推理学习线性代数积极的推理。这种变化的百分比也表明，物流和信息科学专业的学生对控制理论材料的兴趣较低，这表明有必要为这些学生开发不同类型的教材。本项目开发的教科书将于2000年秋季由日本孝龙公司出版。

This project is planned to achieve two goals. One is to introduce mathematical subjects appearing in engineering to basic courses, the other is the study from algebraic viewpoint. To summarize, the first is achieved, but the second is not. Nevertheless, the study for the second goal is utilized to develop teaching materials for the first goal. Further, Zhang has obtained new results in control theory as a continuation of her past line of research. To develop the teaching materials, we improved them in using them in linear algebra classes and exercise classes specially set for this purpose, and in the course of the improvement, we have obtained knowhow how to introduce mathematical subjects appearing in control theory into linear algebra courses. We have also examined that this introduction has changed student's mind from negative reasoning to study linear algebra to positive reasoning. The percentage of this change also reveals that students majoring in logistics and information sciences have less interest in control theoretical materials, which shows necessity to develop different type of the teaching materials for these students.The textbook based on the knowhow and developed in this project will be published in Fall 2000 by Nihon-Hyoron co.