关键词: 数学物理方法, 课程衔接, 数字化技术, 直观化, 创新思维

Abstract: As a pivotal course in the physics curriculum, “Methods of Mathematical Physics” serves as an essential bridge, directly influencing students' understanding and application of advanced physical concepts. Given the courses highly abstract and complex content, the integration of digital technologies has become an imperative approach to enhancing teaching quality and stimulating student interest. This paper delves into how digital technology can be utilized to strengthen the connection between mathematical methods and other physics courses. By presenting specific examples such as the application of complex numbers in wave problems, the intuitive demonstration of Fourier transforms in signal analysis, and the application of spherical functions in quantum mechanics, the paper demonstrates that digital technology not only simplifies the comprehension of mathematical concepts within the course but also significantly enhances students ability to flexibly apply these concepts in solving physical problems. Overall, the introduction of digital technology not only facilitates the integration and linkage of different course contents, enriches teaching methods, but also inspires students practical interest and innovative thinking, thereby paving new paths for enhancing the teaching effectiveness of the Methods of Mathematical Physics course.

Key words: methods of mathematical physics, course integration, digital technology, visualization, innovative thinking