With the vigorous development of fields such as big data, artificial intelligence, the Internet of Things, and computer vision, the demand for basic engineering capabilities of university students has undergone a qualitative change. Therefore, the market has put forward higher requirements for the design of relevant courses, especially basic courses. It is hoped that basic courses can closely revolve around emerging disciplines, particularly vibrant fields such as artificial intelligence. In this context, this study aims to explore the deep integration of university-level advanced mathematics courses and computational mathematics courses through the framework of applied research projects, and to investigate their effects on cultivating students’ computational thinking abilities. By combining practical application scenarios, the integration of advanced mathematics and computational mathematics methods is explored to enhance students’ comprehensive abilities and innovative thinking.