Integrating ideological and political elements into the teaching of basic courses is not only an urgent need to fulfill the fundamental task of fostering morality and cultivating talent, but also an inevitable choice to play the main role of classroom education. Firstly, this paper analyzes the current status of "emphasizing knowledge over ideological and political education" in university basic course classrooms and provides suggestions. Then, combined with teaching practice, it discusses teaching cases of ideological and political education in the "Mathematical Analysis" course from three perspectives: "using classical theories to stimulate learning interest, using frontier knowledge to cultivate an exploratory spirit, and using applied knowledge to cultivate a patriotic ideal," providing valuable reference for teachers' lectures.