Abstract

As an important branch of higher mathematics, complex function occupies a core position in many fields such as mathematics, physics, and engineering, which not only involves rich theoretical knowledge but also shows great value in practical applications. Therefore, the teaching of complex functions is extremely important for students of mathematics and related majors. However, traditional teaching methods often emphasize theory over practice, lack effective ways to stimulate students' innovative thinking and limit the overall development of students' abilities. Based on this, this study will explore how to cultivate students' innovative thinking more effectively through the teaching of functions of a complex variable, aiming at finding and evaluating different teaching strategies and methods to better stimulate students' interest, improve their innovative and practical abilities, and promote the overall development of students' comprehensive abilities.

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