【摘要】 通过分析常微分方程课程的教学现状和学生的数学基础,制定课程教学设计策略,剖析教学难点.以解的存在唯一性定理为例,探讨"融合背景、剖析思想、延伸课堂、应用分析"为设计理念,培养学生分析问题、解决问题和科研创新的能力.更多还原

【Abstract】 By analyzing the teaching situation of ordinary differential equation and the mathematical foundation of the students,the strategy of curriculum teaching is designed,and the difficulty of teaching is analyzed.As an example for the existence and uniqueness theorem of solutions,the design idea of"fusion background,analysis of ideas,extension of the classroom,application analysis"is discussed.This will develop students’ ability of analyzing problems,solving problems and scientific research innovation.更多还原