《数学分析》课程教学改革与资源建设

Mathematics Analysis Course Teaching Reform and Resource Construction

《数学分析》课程是高等学校数学专业的一门必修的专业基础课。它是研究无穷级数、一元函数微积分学和多元函数微积分学等方面知识一门学科,是各大高校数学专业考研的必考专业课之一。本工作将对《数学分析》的基本教法,学法,教学大纲等进行深入改革,与当代数学新兴的专业课接轨,反映出新的发展趋势。保留原有的基本理论,加入新兴学科所需的基础知识,并配套相关知识数学史的教学,增强学生的学习积极性,激发学生的学习热情。实行数学分析的板书教学与多媒体课件教学,加强现代化的计算机技术与教学的有机融合,使得《数学分析》课程教学生动有趣。

The mathematics analysis course is a required professional basic course for mathematics in colleges and universities.It is a discipline that studies infinite series,univariate function calculus and multivariate function calculus.It is one of the required courses for mathematics majors in major universities.This thesis will carry out in-depth reform of the basic teaching methods,methodology,and syllabus of mathematical analysis,and integrate with the emerging professional courses of contemporary mathematics,reflecting new development trends.Retain the original basic theory,add the basic knowledge needed for emerging disciplines,and support the teaching of related knowledge about the history of mathematics,enhance students' enthusiasm for learning,and stimulate students' enthusiasm for learning.The implementation of mathematics analysis of blackboard teaching and multimedia courseware teaching,strengthening the organic integration of modern computer technology and teaching,making the mathematics analysis course teaching lively and interesting.