将思政元素融入概率论与数理统计"金课"建设与实践

在课程思政理念下进行"金课"建设,对新时代高校全面提高人才培养质量具有重要意义.概率论与数理统计课程是大学数学三大基础必修课之一,受众面广.做好概率论与数理统计"课程思政"工作,关键是充分发挥任课教师的主体作用,调动每位教师建设课程思政的积极性和主动性,挖掘独具育人特色的课程思政资源,将课程思政元素与课程知识内容紧密融合,切实发挥"润物无声"的育人功效.     

MHD Boundary Layer Flow of a Non-Newtonian Fluid on a Moving Surface with a Power-Law Velocity

A theoretical analysis for MHD boundary layer flow on a moving surface with the power-law velocity is presented. An accurate expression of the skin friction coefficient is derived. The analytical approximate solution is obtained by means of Adomian decomposition methods. The reliability and efficiency of the approximate solutions are verified by numerical ones in the literature.     

疫情背景下微积分“课程思政”的教学探索与实践

结合当前的疫情,采用画龙点睛式、隐性渗透式等教学方式,多角度、全方位把“思政”元素融入到微积分教学之中,通过调查问卷评估了课程思政教学效果,为高校微积分课程的“课程思政”改革提供一种思路.     

案例式中心极限定理教学研究

以案例教学法作为中心极限定理教学的主要手段,选取贴近实际生活的案例——合理规划用电问题和竞争问题,作为教学切入点,激发学生学习兴趣,引导学生从实际情景中发现问题解决问题.课堂实践表明,案例式教学加深了学生对中心极限定理的理解和应用,开阔了学生视野,并对促进课堂教学,课程建设,师生能力提高都有重要意义.     

An Approximately Analytical Solution for the Marangoni Convection in an In-Ga-Sb System

We present a similarity analysis for the Marangoni convection in a rectangular open boat. Furthermore, an efficient analytical decomposition and a numerical technique are provided. The approximately analytical solution may be represented in terms of a rapid convergent power series with elegantly computable terms. The results are compared with the numerical ones in the literature and the associated transfer behaviour is analysed.     

MHD flow of power-law fluid on moving surface with power-law velocity and special injection/blowing

The problem of magnetohydrodynamic （MHD） flow on a moving surface with the power-law velocity and special injection/blowing is investigated. A scaling group transformation is used to reduce the governing equations to a system of ordinary differen- tial equations. The skin friction coefficients of the MHD boundary layer flow are derived, and the approximate solutions of the flow characteristics are obtained with the homotopy analysis method （HAM）. The approximate solutions are easily computed by use of a high order iterative procedure, and the effects of the power-law index, the magnetic parameter, and the special suction/blowing parameter on the dynamics are analyzed. The obtained results are compared with the numerical results published in the literature, verifying the reliability of the approximate solutions.