With the development of modern mobile communication, artificial intelligence (AI) has begun to enter people’s life, and it is also constantly changing the modern education mode. First, the structure of BPN (back-propagation network) is designed in this paper. On this basis, genetic algorithm is applied to optimize, which can accelerate the convergence speed and achieve the effect of global optimization. The results obtained from the research also meet the expected value, realizing the purpose of optimizing the BP algorithm. This paper analyzes the AI teaching expert system, summarizes their functions and characteristics, and points out that the college students’ ideological and political teaching system based on the mobile AI terminal can be used as the teaching manager, teaching assistant, and even as the teaching object to guide students’ learning. At the same time, the article also points out that the application and development direction of artificial intelligence in the teaching field can be divided into three stages: primary application, intermediate application, and advanced application, so as to provide theoretical guidance for the construction and analysis of ideological and political teaching system for college students using mobile artificial intelligence terminals.
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