本文探讨了医学院校工科专业本科高等数学教学的创新模式。在医工、医理交叉融合的背景下,高等数学课程的重要性日益凸显。然而,传统的数学教学模式未能有效地满足工科学生的需求,缺乏与专业知识的紧密联系。因此,本文提出将科研前沿与高等数学教学相结合的模式,以提高学生的学习兴趣和数学素养,培养创新型人才。通过国内外研究现状的分析,发现许多先进的教学理念和实践经验可供借鉴。结合医学与工程中数学的应用实例,突出数学在解决实际问题中的重要性。最后,提出了融合教学模式的设计与理论基础,并对高等数学课程设计与教学方法进行了探讨,希望为医学院校工科专业的高等数学教学提供新思路和方法。This paper aims to explore innovative models for teaching advanced mathematics in undergraduate engineering programs at medical university. In the context of the integration of medical and engineering disciplines, the importance of advanced mathematics courses has become increasingly prominent. However, traditional mathematics teaching methods have not effectively met the needs of engineering students, lacking close connections to professional knowledge. Therefore, this article proposes a model that combines research frontiers with advanced mathematics education to enhance students’ learning interests and mathematical competence, fostering innovative talent. By analyzing the current state of research at home and abroad, many advanced teaching concepts and practical experiences are identified as references. Utilizing examples of mathematics applications in medicine and engineering, the importance of mathematics in solving real-world problems is emphasized. Finally, the paper presents the design and theoretical foundations of an integrated teaching model, as well as discussions on course design and teaching methods for advanced mathematics, aiming to provide new ideas and methods for teaching advanced
