微积分思想在保险精算课程教学中的应用  

Applications of Calculus Thought in Teaching ″Actuarial Science″ Course

作　　者：姚俊[1] YAO Jun(Teaching Quality Evaluation Center, Changzhou Institute of Technology, Changzhou 213032)

机构地区：[1]常州工学院教学质量评估中心,江苏常州213032

出　　处：《常州工学院学报》2017年第2期82-86,共5页Journal of Changzhou Institute of Technology

基　　金：常州工学院课程建设项目(A3-4401-14-035)

摘　　要：在数学与应用数学专业的课程体系中设置保险精算课程,既有助于精算教育的推广,也符合学生多样化发展的需求。为提高课程目标达成度,将微积分思想融入保险精算的教学过程,从导数定义的角度阐述了利息强度和死力两个概念的本质内涵,用微元法重新推导了连续条件下人寿保险的一些精算公式。Incorporating the course of actuarial science in the curriculum system for mathematics and applied mathematics specialty helps popularize actuarial education and meets students＇ demand for diversified development. In order to better fulfill the course objective,calculus thought was integrated into the teaching process of actuarial science. The connotations of force of interest and fierce of mortality were elaborated from the angle of derivative definition. Some actuarial formulas of life insurance under continuous conditions were rederived by the infinitesimal method.

关 键 词：保险精算 导数 微元法 精算现值 

分 类 号：G642.0[文化科学—高等教育学]