On the Ideological and Political Course of General and Special Solutions of Differential Equations

In order to achieve the educational goal of “Building Morality and cultivating people”, the paper analyzes the feasibility of integrating ideological and politi-cal 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.

Cite this paper

Xue, Z. , Teng, Y. and Ma, Q. (2020) On the Ideological and Political Course of General and Special Solutions of Differential Equations. Open Access Library Journal, 7, 1-6. doi: 10.4236/oalib.1106015.

1. 引言

2. 微分方程通解和特解的基本概念

$\frac{\text{d}y}{\text{d}x}=2{\text{e}}^{x}$ (1)

$\frac{\text{d}y}{\text{d}x}+y=2x$ (2)

3. 科学社会主义基本原理和中国特色社会主义理论

4. 微分方程通解和特解的课程思政内涵

4.1. 微分方程的通解与特解的辩证关系

4.1.1. 微分方程的通解到特解体现了辩证唯物主义认识论的一般规律

4.1.2. 微分方程的通解和特解关系体现了矛盾普遍性与特殊性的辩证关系

4.1.3. 微分方程的通解和特解关系是理论与实践的辩证关系

4.1.4. 微分方程的通解和特解关系是抽象与具体的辩证关系

5. 结束语

[1] 习近平谈治国理政[M]. 第二卷. 北京: 外文出版社, 2017.

[2] 滕跃民, 张玉华, 肖纲领. 高职专业“课程思政”的“道法术器”改革[J]. 辽宁高职学报, 2018(8): 53-61.

[3] 薛中会, 滕跃民, 马前锋, 周晓中. 从冰冷的美丽到火热的价值――矩阵思维下的社会主义核心价值观解读[J]. 辽宁高职学报, 2019, 21(3): 100-103.

[4] 刘雄伟, 王晓. 常微分方程通解, 特解, 所有解的区别与联系[J]. 大学数学, 2014 30(2): 88-90.

[5] 毛泽东思想和中国特色社会主义理论体系概论[M]. 北京: 高等教育出版社, 2018.

[6] 张景中. 数学哲学[M]. 北京: 中国少年儿童出版社, 2017.

[7] 吕亚男. 从数学文化视角探讨高等数学与课程思政的有机融合[J]. 西部学刊, 2019(2): 97-100.

Conflicts of Interest

The authors declare no conflicts of interest regarding the publication of this paper.

 [1] 习近平谈治国理政[M]. 第二卷. 北京: 外文出版社, 2017. [2] 滕跃民, 张玉华, 肖纲领. 高职专业“课程思政”的“道法术器”改革[J]. 辽宁高职学报, 2018(8): 53-61. [3] 薛中会, 滕跃民, 马前锋, 周晓中. 从冰冷的美丽到火热的价值——矩阵思维下的社会主义核心价值观解读[J]. 辽宁高职学报, 2019, 21(3): 100-103. [4] 刘雄伟, 王晓. 常微分方程通解, 特解, 所有解的区别与联系[J]. 大学数学, 2014 30(2): 88-90. [5] 毛泽东思想和中国特色社会主义理论体系概论[M]. 北京: 高等教育出版社, 2018. [6] 张景中. 数学哲学[M]. 北京: 中国少年儿童出版社, 2017. [7] 吕亚男. 从数学文化视角探讨高等数学与课程思政的有机融合[J]. 西部学刊, 2019(2): 97-100.