Abstract: Through a comprehensive use of the mathematica Software in its powerful functions of programming,
numerical computing and drawing, and animation, two cases of teaching— the teaching of double integral concept and the research teaching of positive term series convergence method—are selected to illustrate the applications and advantages of applying the mathematica software in aiding mathematical analysis of curricular teaching. With the help of MOOC and Internet
plus, the Mathematica software is useful to promote the interactive dynamic visualization and enhance the teaching efficiency, and simultaneously spur students’ interest in learning and scientific research. And also, the quasi-logarithmic discriminant method of positive term series convergence is generated.