医用高等数学中“凑微分”思想浅析  

On the Method "Minato Differential" to Advanced Mathematics

作　　者：安洪庆[1] 孔雨佳[1] 王培承[1] 

机构地区：[1]潍坊医学院公共课教学部数学教研室,潍坊261053

出　　处：《数理医药学杂志》2010年第6期744-746,共3页Journal of Mathematical Medicine

基　　金：现代化教学手段和教学方法(包括双语教学)在医药类人才培养数学教学中的应用(BIA010092-A07全国高等学校教学研究中心)

摘　　要：不定积分的求解一直是高等数学的重点,但由于其方法的灵活性以及结果的不确定性,又一直是高等数学的难点。针对不定积分求解方法的核心思想——"凑微分",就其技巧、步骤的形式化方面做了相关分析和总结,并给出了一系列行之有效的"凑微分"的形式化步骤和技巧。Indefinite integral calculus to solve has been the focus to the medical advanced mathematics,but because of the flexibility of its methods as well as the uncertainty of the outcome,but also has been a difficult calculus.This solution method for the indefinite integral the heart—— ＂Minato differential＂,for his skill,has done a formal steps related to analysis and summary,and gives a series of effective ＂Minato differential＂ Formal Steps and skills.

关 键 词：不定积分 凑微分 换元积分法 分部积分法 医用高等数学 

分 类 号：O172[理学—数学] G642[理学—基础数学]