借助数学软件掌握复变函数概念和函数级数  

Mastery of Complex Function and Functional Series with Mathematical Software

作　　者：杨建荣[1] 胡清华[1] 毛杰键[1] 

机构地区：[1]上饶师范学院物理与电子信息学院,江西上饶334001

出　　处：《上饶师范学院学报》2015年第3期18-22,共5页Journal of Shangrao Normal University

基　　金：江西省教改课题(JXJG-13-16-4);江西省科技落地项目(KJLD13086);国家自然科学基金(11365017;11465015)

摘　　要：为了培养学生对数学物理方法的兴趣,学会用先进的数学软件解决实际问题,研究了用Maple中的作图功能,帮助学生理解复变函数,建立直观清晰的概念;应用了符号运算功能,解决繁杂的运算问题;用fseries、Taylor、series和convert等功能求级数,通过图像分析比较了函数展开成级数的误差问题。In order to develop students＇ interest in mathematical- physical method and master advanced mathematical software to solve practical problems,we study the plotting function in Maple to help students understand complex function and to establish intuitive conception; employ the computational function of sign to solve complex operation problems; use fseries,Taylor,series,convert,et al to solve series,and compare the error problem in expansion of series by analyzing plots. These have significances to enhance teaching effects and promote students＇ development for future.

关 键 词：复变函数 数学软件 作图 级数 

分 类 号：O174.5[理学—数学]