新工科背景下高等数值分析课程教学改革的思考

高等数值分析是数学系为理工科研究生开设的一门公共选修课程,其理论体系介于纯数学和工程应用之间,具有鲜明的特征。文章以高等数值分析课程改革为例,分析新工科背景下研究生课程教学存在的问题,针对研究生计算思维和工程思维的培养,探讨课程定位、教学内容、教学模式、考核方式、课程思政等问题。这些讨论有助于对新工科背景下研究生计算系列课程教学的现状作出一个客观评价,有助于提高计算系列课程的教学效果。

Advanced Numerical Analysis is a public elective course offered by the department of Mathematics for postgraduates of science and engineering.Its theoretical system is between pure mathematics and engineering application,and has a distinct character.Taking the reform of advanced numerical analysis course as an example,this paper analyzes the problems existing in the teaching of postgraduate course under the background of new engineering education.Aiming at the cultivation of graduate students'computational thinking and engineering thinking,it discusses the course positioning,teaching content,teaching mode,evaluation mechanism,ideological and political education,etc.These discussions are helpful to make an objective evaluation of the current situation of the teaching of graduate computational courses under the background of new engineering education,and are helpful to improve the teaching effect of the series courses.