From the perspective of ideological and political education in the curriculum, we need to cultivate outstanding talents with comprehensive development in morality, intelligence, physical fitness, aesthetics, and labor. Emphasis should be placed on highlighting the supporting and leading role of basic disciplines, and mathematical cultural factors should be injected into mathematics classrooms. From the perspective of ideological and political education in the curriculum, this paper analyses the value of integrating mathematical culture into calculus classrooms. On this basis, further research was conducted on how to integrate the content of calculus courses into mathematical culture, that is, to explore mathematics. The general strategy of cultural infiltration is to transform the traditional knowledge-based education approach into a "trinity". The core teaching method of value shaping, ability cultivation, and knowledge imparting, with the ability as the core, greatly improves student's interest in learning.