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关键词： 高等数学   定积分   解题方法  

摘要： 高等数学教学不仅是传授知识的过程，也是培养学生思维能力的过程。文章对一道典型定积分的多种解法进行探究，以期突破学生思维的局限性，开阔其解题思路，从而培养其解题的综合能力。

摘要： 函数与导数构造问题涉及数式特征的观察、函数性质的综合、代数变形的运用,破解此类问题的关键就是“构造函数”,通过观察题目式子的特点,联想导数乘法或除法法则,构造出新函数。本文对这类试题进行了梳理和归类,以期为同学们解决此类问题提供便捷的思路。

关键词： 大数据   高校领导   数字领导力  

摘要： 教育数字化背景下，数字领导力的提升对高校领导能力提升有着重要的指引作用，能够助推高校和高等教育事业发展。文章通过立足领导力的“五力”模型，分析出相对应的数字领导力的结构维度，并结合大数据技术，提出高校领导数字领导力提升策略。希望能够有效促进数字领导力落地，推进学校事业发展。

摘要： 所谓数学生态课堂是指数学课堂教学做到两个尊重和把握两个度，即尊重学生的认识规律，尊重知识的发生、发展规律.两个度是指思想高度(主要指哲学思想)和文化厚度.王靓老师这节“导数的概念”课，笔者认为既做到了两个尊重又把握了两个度.具体表现在以下几个方面.1 精彩引入，一石数鸟问题从运动学的平均速度过渡到瞬时速度，这是学生熟悉的知识.通过问题2的追问1—4,计算自由落体运动的物体在1到3秒内的平均速度.然后，分解为1到2秒，

关键词： Mathematics  

ISBN: (数字)9789811271694 ISBN: (纸本)9789811271687

摘要： This accessible monograph is devoted to a rapidly developing area on the research of qualitative theory of fractional ordinary differential equations and evolution equations. It is self-contained and unified in presentation, and provides the readers the necessary background material required to go further into the subject and explore the rich research literature. The tools used include many classical and modern nonlinear analysis methods such as fixed point theory, measure of noncompactness method, topological degree method, Picard operators technique, critical point theory and semigroups theory. This book is based on the research work done so far by the author and other experts, and contains comprehensive up-to-date materials on the *** this third edition, four new topics have been added: Hilfer fractional evolution equations and infinite interval problems, oscillations and nonoscillations, fractional Hamiltonian systems, fractional Rayleigh-Stokes equations, and wave equations. The bibliography has also been updated and *** book is useful to researchers, graduate or PhD students dealing with fractional calculus and applied analysis, differential equations, and related areas of research.

关键词： 导数法   方法与步骤   真题再现   类题演练   方法与技巧  

摘要： 运用导数求函数最值的方法具有普遍性，通常是找出该区间上导数值为0的点，不必判断出是极大值点还是极小值点，只需将这些点对应的函数值与端点处的函数值进行比较，其中最大的就是函数的最大值，最小的就是函数的最小值.

关键词： Mathematics  

ISBN: (数字)9781800613584 ISBN: (纸本)9781800613577

摘要： The modelling of systems by differential equations usually requires that the parameters involved be completely known. Such models often originate from problems in physics or economics where we have insufficient information on parameter values. One important class of stochastic mathematical models is stochastic partial differential equations (SPDEs), which can be seen as deterministic partial differential equations (PDEs) with finite or infinite dimensional stochastic processes — either with colour noise or white noise. Though white noise is a purely mathematical construction, it can be a good model for rapid random *** Integral and Differential Equations in Mathematical Modelling concerns the analysis of discrete-time approximations for stochastic differential equations (SDEs) driven by Wiener processes. It also provides a theoretical basis for working with SDEs and stochastic *** book is written in a simple and clear mathematical logical language, with basic definitions and theorems on stochastic calculus provided from the outset. Each chapter contains illustrated examples via figures and tables. The reader can also construct new wavelets by using the procedure presented in the book. Stochastic Integral and Differential Equations in Mathematical Modelling fulfils the existing gap in the literature for a comprehensive account of this subject area.

关键词： 课程思政   导数的概念   教学设计  

摘要： 以高等数学中导数的概念为例，旨在探究融入课程思政导数概念的教学设计。通过实际案例创设两个问题情境：速度问题和切线问题，归纳其共性，得到导数的概念。在讲解数学知识的同时，自然融入爱国情怀、唯物辩证主义等思政元素，从而达到价值引领、能力培养与知识传授相统一。

关键词： 课程思政:高职数学   教学案例   教学融合  

摘要： 课程思政是一种新的教育理念，旨在教学中融合思政元素，促进思政与学科教学融合，让学生在学习学科知识中通过其中的思政内容产生深刻的感悟。在高职数学教学中融合课程思政理念是一种创新性做法，有助于促进教学改革深化，通过进行全面思考，优化教学设计有助于实现教学目标，为促进学生全面发展奠定基础。课程思政在高职数学教学中是提升教学内涵的必然发展，同时对于实现人才培养目标有着重要的作用。

关键词： BOPPPS模式   教学设计   参与式学习  

摘要： BOPPPS模式以有效教学设计著称，以建构主义为主要理论依据，重在强调学生参与和反馈。本文以“微积分”中“定积分概念”为例探讨BOPPPS模式的微课教学设计策略。