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关键词： 数学分析   教学模式   传统教学模式   多媒体  

摘要： 通过对多种模式进行数学分析教学实践的比较,得出适合数学分析课程教学的主要模式是传统模式和多媒体相结合模式。

关键词： 数学分析   递推关系   分类  

摘要： 该文主要对《数学分析》中的递推关系的应用进行分类、整理,且针对不同的应用类别进行相应的解析,以便为《数学分析》教学提供参考。

关键词： 数学分析   心理接受顺序   启发研讨式教学模式   数学综合素质  

摘要： 为深化教育教学改革,提高"数学分析"课程的教学质量,数学分析教学组针对如何使学生学好"数学分析"课程的问题,在教学内容,教学方法以及提高学生学习"数学分析"课程的兴趣等方面进行了改革和探索,并在教学中进行了多年的实践,取得了学生的高度认可。

关键词： AutoCAD   教学分析   教学设计   课程整合  

摘要： 随着信息技术的发展和教学理念的更新．对于信息技术与数学课程的整合提出了新的执战．如何将信息技术应用于数学分析公共课的教学，实现数学分析课程中相关图形生成的可视化、动态化、丰富化显得尤为重要．论文介绍了一个精确高效的绘图软件AutoCAD，同时给出了一个传统教学模式与多媒体技术相结合的教学设计方案，最后给出了一个将AutoCAD应用于教学分析公共课教学中的图形绘制与动态演示的实例．

关键词： 瑕积分   敛散性   收敛性   学生学习   数学分析   判断方法   特性   技巧   规律  

摘要： 瑕积分收敛性的判断是数学分析中学生学习的难点之一,本文总结了瑕积分收敛性的几个特性及判断暇积分收敛的一些技巧和规律,以期降低学生学习的难度,从而使学生在学习时能够更快、更好的掌握瑕积分收敛性的判断方法。

关键词： 风采   白城师范学院   数理统计   白城师院   数学分析   学人   东北师范大学数学与统计学院  

摘要： 段智力教授段智力,女,1962年11月出生,1984年7月毕业于东北师范大学数学系,1988年复旦大学统计与运筹助教班结业,2002年在东北师范大学数学与统计学院访学,2006年获吉林大学数理统计专业硕士学位。现任白城师范学院数学研究所所长,教授。

关键词： 数学分析   分层教学   傅里叶级数  

摘要： 为了适应大众化教育,高等学校的许多课程实行了各种形式的分层教学。数学分析作为数学各专业最重要的基础课,更需要实施分层教学,以使不同层次的学生在学习中有不同的发展;在教学实践的基础上,我们就"傅里叶级数"给出了分层教学的实施方法。

关键词： 数学分析   教学方法   改革  

摘要： 从分析高师数学分析课程教学存在的问题入手,对数学分析课程教学方法的改革进行了思考,并提出一些具体做法。

关键词： SOCCER matches   COLLECTIVE behavior   SOCIAL psychology   HUMAN behavior   MATHEMATICAL analysis   GEOSPATIAL data   AESTHETIC distance   SOCCER   BALL games  

摘要： Detailed time series analysis of a soccer match is given based on the detailed data of the 2D motions of all 22 players and of the ball for the match. The whole analysis includes two parts. In Part I, the individual and collective behaviors of the players of the two teams as well as the motion of the ball are presented as various time series. Geometrical centers, radii, expansion speeds, possession functions of the two teams are defined and calculated as functions of time. Major ranges of all players as well as of different groups of players ( defenders, midfielders, forwards) of the two teams during the entire first half, the attacking phase of team A and the attacking phase of team B are calculated, respectively, showing the structures of the two teams during different phases. Distance coverage of each player and the mean distances covered by different groups of players ( defenders, midfielders, forwards) during different phases are calculated. The time portions of possession of the ball by each team and the time portions of different phases are also calculated. In Part II, energy and spectral analysis and various correlations will be derived. The relation between various parameters and potential indicators will be discussed. The major purpose of the present study is to offer some general mathematical tools for the detailed analysis and to reveal some general features of soccer match when the detailed 2D data are available. The results would offer the raw materials for various potential indicators which may eventually be used in the coaching process to enhance the performance and in the prediction of the results of soccer matches.

关键词： ANALYTICAL mechanics   FORCE & energy   DYNAMICS   SOCCER   BALL games   ENERGY level densities   SOCCER matches   COLLECTIVE behavior   SOCIAL psychology  

摘要： Following the calculations on the individual and collective behaviors of players and the ball in Part I, further calculations are carried out in Part II concerning (i) the specific kinetic energy of each player, (ii) the power densities of various quantities for different groups of players (forwards, defenders) and for the geometrical centers of the two teams, as well as for the ball, and (iii) the correlations of various quantities among different groups of players and the ball, as well as among the geometrical centers and the ball. Some parameters are compared between the two teams. The relation between these parameters and the potential indicators and all the influencing factors to the final result of a soccer match are discussed. Advantages and limitations of the present approach and some ideas for the future research are outlined.