【摘要】 培养学生对知识的融会贯通、综合运用的能力是数学物理方法教学的重要教学目的之一.通过运用留数定理方法求解一类复杂周期函数R(cos x,sinx)的傅里叶级数展开问题与常见的解题方法的比较,说明了知识点融合对学生理解和掌握数学物理方法以及对学习后续课程的重要影响.教师在数学物理方法教学中应注重知识点的有机融合和注重培养学生综合运用知识的能力,并提出数学物理方法教学应以培养学生的发散性思维方式和对知识的综合运用能力为首要目的.更多还原

【Abstract】 The most important teaching aim of the methods of mathematical physics is to foster students’ capacity in synthetically utilizing knowledge.By using the residue theorem to solve the problem of Fourier series expansion for a type of complicate periodical function,and comparing with the common method,we discuss the organic integration of the knowledge points in the lesson"methods of mathematical physics",as well as fostering the students’ capacity of synthetically utilizing knowledge.The important effects of the organic integration of the knowledge points on grasping this course and learning the other subsequent courses are illustrated.Moreover,we propose the ideas that the lesson of methods of mathematical physics should aim at fostering the divergent thinking mode and the ability of synthetically utilizing knowledge.更多还原