In order to be able to better assess the overall quality of the school’s overall educational management in a comprehensive way, colleges and universities need to conduct a comprehensive evaluation of each class. In this paper, the comprehensive evaluation model of university management quality was constructed by combining the network hierarchy analysis method (ANP) and the material element topologizable theory, and the quality of university education management was dynamically evaluated by calculating the correlation function and correlation degree of the constructed evaluation index system. The sensitivity of the 16 index factors in the model was analyzed in detail by using SD software, and the results of the sensitivity analysis combined with the weight values made a comprehensive analysis of the importance of the indexes, which provided a certain basis for the evaluation of university management. And a university class A to be evaluated is selected as a sample, and its evaluation grade is excellent by using the model of this paper, which is consistent with the results of the class in the comprehensive evaluation of the previous semester. It shows that the method can not only reduce the subjective human factors, but also simple calculation and reliable results, which provides a strong support for colleges and universities to effectively improve teaching quality management.