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

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.