把数学建模融入高等数学教学中的两个案例  

Two Cases for Merging Mathematical Modeling IntoTeaching of Higher Mathematics

作　　者：崔海英[1] 侯文宇[1] 李林杉[1] 

机构地区：[1]北京联合大学基础部,北京100101

出　　处：《北京联合大学学报》2010年第1期82-84,93,共4页Journal of Beijing Union University

基　　金：中国高等教育学会"十一五"高等教育科学研究课题(06AIJ0010072)

摘　　要：简单介绍了数学建模,提出了可以将数学建模融入到高等数学教学中去,给出了两个案例:分针时针的重合问题和罐装饮料罐的样子。对案例具体的切入点提出了建议。通过案例,给出了数学建模的全过程:模型假设、符号说明、模型建立、模型求解、模型结果分析等,同时指出了数学建模随处可见。The mathematical modeling is introduced, and an idea of merging mathematical modeling into teaching of higher mathematics is put forward. Two cases： the coincidence between minute hand and hour hand, the shape of canned drink container are given. Their entry point is demanstrated. Using two cases, the whole process of mathematical modeling is given, which includs model assumption, sign explanation, model building, model solving, and result analyzing. Mathematical modeling exist everywhere is pointed out.

关 键 词：数学建模 高等数学教学 案例 

分 类 号：O22[理学—运筹学与控制论]