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Starting from the fact that the independent variable in calculus approaches a certain value infinitely in one direction, the uniqueness of the dependent variable's simultaneous infinite approximation function value and the importance and unshakability of the approach direction, the students are guided to think that "only by adhering to the socialist road can the Chinese dream of the great rejuvenation of the Chinese people be realized". This paper attempts to combine the importance of direction selection in the limit theory with function subsection. It explains Marx Lenin doctrine and Mao Zedong thought, guiding the Chinese people to go out for a long night, building a new China and carrying out the socialist revolution, so that the socialist road can be established in China, and Deng Xiaoping's theory makes China rich and Xi Jinping's new era of socialism with Chinese characteristics. In these three key stages, the importance and uniqueness of adhering to the road of socialism with Chinese characteristics has become stronger.

In order to achieve the educational goal of "Building Morality and cultivating people", the paper analyzes the feasibility of integrating ideological and political education into differential equation teaching, and holds that the general and special solutions of differential equation have the advantages of integration with scientific socialism and socialism with Chinese characteristics. With the special solution of differential equation and the explanation of mathematical knowledge prototype of general solution, the ideological and political elements of the general solution of differential equation and special solution course are excavated from the ideological perspective, so as to stimulate and improve the political correctness of students and strengthen the confidence of socialism with Chinese characteristics. In the new era, college mathematics teachers should cultivate students' rational thinking, guide students to establish correct values and form excellent humanistic quality by constantly mining the spirit of mathematics.

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