教学课程资源库 更多>>

关键词： 数学分析法   回归方程   预测区间  

摘要： 陡河水库东岸山体裂缝较多,易发生塌坑。通过整理历年库水位和山脚测压管水位观测资料,选取有代表性的样本数据进行回归分析,建立反映库水位和测压管水位相关关系的数学模型,预报各库水位对应的测压管水位预测区间,与实测测压管水位进行对比,从而提早预测东岸塌坑的发生。

关键词： 教师资格考试   数学分析   统计分析  

摘要： 本文以2016年至2020年共9套高级中学数学学科知识与教学能力笔试题中的数学分析问题为研究对象,通过对试题的类型数量、试题分值、试题考查要点进行统计分析,对知识点和题目的开放性等问题进行思考。

关键词： 数学分析   课程思政   极限   聚点   数学实验  

摘要： 立德树人是教育的根本任务,课程思政是健全课程育人协同机制的重要环节。文章探讨了数学分析这门经典的基础理论课程挖掘思政要素的几种教学思路,以期助力“三全育人”发挥协同效应。

关键词： 教学法   名人名言   课程思政  

摘要： 在数学分析课堂教学中,运用"主题词教学法"通过引入数学家名人名言、数学家生平故事以及数学悖论等方式将思想政治元素渗透到教学全过程,获得了一些将思想政治元素融入到数学分析课程的日常教学中的途径。激发了学生对课程及数学科学的热爱与兴趣,提高了学生的学习效率,提高了教育绩效。

关键词： 数学分析   “居家式”线上教学   探究   实践  

摘要： 受疫情影响,学校延迟开学。为贯彻落实“停课不停教、不停学”的要求,信阳学院数学与统计学院《数学分析》课程教学团队积极探索有效的“居家式”线上教学方式,保证了课程的正常开展。本文从“居家式”线上教学理念、线上教学设计、线上教学实施三个方面探讨了这半年来《数学分析》“居家式”线上教学的开展情况,并结合教学成果提出了几点教学展望,以期提高教育教学质量。

关键词： COVID-19   Brownian motion   Quarantine   Social distancing   Reproduction number   Legendre collocation scheme  

摘要： This paper is associated to investigate a stochastic SEIAQHR model for transmission of Coronavirus disease 2019 that is a recent great crisis in numerous societies. This stochastic pandemic model is established due to several safety protocols, for instance social-distancing, mask and quarantine. Three white noises are added to three of the main parameters of the system to represent the impact of randomness in the environment on the considered model. Also, the unique solvability of the presented stochastic model is proved. Moreover, a collocation approach based on the Legendre polynomials is presented to obtain the numerical solution of this system. Finally, some simulations are provided to survey the obtained results of this pandemic model and to identify the theoretical findings. (c) 2021 Elsevier Ltd. All rights reserved.

关键词： Biomechanics   Curve fitting   Motion capture   Temporomandibular joint  

摘要： The understandings of motional regular and dynamic information during the mandibular motions are essential to investigate the dysfunctions of temporomandibular joints (TMJ). This study aims to develop a method to record the mandibular movements and analyze the condylar trajectory, velocity, and acceleration in asymptomatic individuals during mandibular motions. Thirteen asymptomatic subjects were strictly selected without symptoms of temporomandibular disorders (TMDs). An optical tracking system was chosen for recording mandibular motions. Curve fitting was used for fitting the trajectories of condyles, notches and lower incisor, and the articular eminence outlines. The sagittal plane (YoZ) provided a better view for condylar trajectories during mouth opening and mandibular protrusion, whereas the coronal plane (XoZ) offered a superior view during lateral protrusions. A parabola had good performance in fitting the trajectories of the condyle, incisor, and outlines with a superior goodness of fit (r(2)) during mouth opening and mandibular protrusion;linear functions were suitable for fitting the trajectories of the contralateral condyle during lateral protrusions. The velocity during the opening process was lower than that during the closing process, and so were the accelerations. The sagittal space between the articular eminences and condyles during mouth opening and mandibular protrusion were close, 2.8 and 2.7 mm, respectively. The sagittal space, velocity, and acceleration can provide dynamic information of TMJs.

关键词： Cholera transmission   Hyperinfectious vibrios   Hypoinfectious vibrios   Waning vaccine-induced immunity   Stability   Sensitivity analysis  

摘要： In this paper, a cholera infection model with vaccination is investigated, in which hyperinfectious and hypoinfectious vibrios, both human-to-human and environment-to-human transmission pathways, and waning vaccine-induced immu-nity are considered. The basic reproduction number is calculated and verified to be a threshold determining the global dynamics of the model. In addition, an application is demonstrated by investigating the cholera outbreak in Somalia, and the relevant control measures in the short term are given by elasticity and sensitivity analysis. (C) 2020 Elsevier Ltd. All rights reserved.

关键词： 30度倾斜体育训练夸腿装置   设计与制造   数学分析   研究与分析  

摘要： 一般的体育训练进行胯腿部训练时,是坐在地上训练,坐在地上没有滑动力,胯腿效果不好,肌肉疼痛难受,于是设计一个30度倾斜体育训练夸腿装置,制造成实物产品进行胯腿训练试验,同时本文运用数理统计法,对体育训练胯腿前训练曲线图和体育训练胯腿后训练曲线图相一致,符合体育锻炼的需要,证明该种产品在胯腿训练的可行性;同时,在陇东学院体育学院进行了试验取得良好的效果;同时,在其他的地方体育的教学和训练具有较强的借鉴意义。

关键词： 数学分析   习题课   无穷小量   极限理论  

摘要： 借助讲授数学分析教材课后习题的过程中总结出的无穷小量间的等价关系的结论,示范解答若干极限问题,以阐释数学分析课程的习题课对该门课程的教与学都有重要助益。