Ideological and Political Elements in Complex Functions -- Taking Cauchy-Riemann Equation Teaching Design as an Example

Abstract

Ideological and political education has formed a consensus in higher education as an educational concept,all courses in universities shoulder the responsibility of value guidance. Complex Functions is an extension of the knowledge system of Mathematical Analysis in the complex fi eld,with both similarities and differences.We have deeper comprehensive and systematic understanding of the essence of theorem defi nitions only if by utilizing analogies and reverse mathematical thinking.The paper takes the Cauchy-Riemann equation in the analytical function as an example,fully exploring the ideological and political elements,carefully designing the teaching process,and integrating ideological and political education into the teaching knowledge.It enables students to fully understand the theory and thinking methods behind the problem and knowledge in the process of solving problems,stimulate their ideological collision and emotional experience, and achieve value guidance for students.