In the training program for physics majors, mathematics courses serve as both the theoretical foundation and research tools. However, the gap between their abstract nature and professional application often leaves students struggling with "focusing on computational skills while lacking physical interpretation." Complex functions, as a key node connecting mathematical analysis with core courses such as field theory and quantum mechanics, and as an important component of mathematical physics methods, have wide applications in fields such as electromagnetism and quantum mechanics. Yet, traditional teaching methods emphasize theoretical derivation and neglect the integration of physical context, making it difficult for students to establish the connection between mathematics and physics. This paper takes complex functions as an example to explore reform paths for teaching methods in mathematics courses for physics majors. Through literature research, interviews, and case analysis, it points out that while the traditional lecture method has advantages in systematic knowledge delivery, it is deficient in cultivating application abilities. Comprehensive improvement strategies are proposed, including integrating modern teaching technology, strengthening practical teaching, and implementing personalized teaching. Teaching effectiveness evaluation shows that after improvements, students have made significant progress in the depth of knowledge understanding and comprehensive abilities, and learning motivation, providing an operable new paradigm for teaching mathematics courses in physics majors.

Tingwei Chen, Qiuxia Wu, Jianhao Zhu, Shiyin Zhao. Teaching Methods of Mathematics Courses in Physics Majors: Taking Complex Functions as an Example. Frontiers in Educational Research (2026), Vol. 9, Issue 5: 212-221. https://doi.org/10.25236/FER.2026.090529.

[1] Liu Wenjun. Teaching Method Reform of Mathematical Physics Methods Course under the Background of Emerging Engineering Education[J]. Journal of Beijing Union University, 2024, 38(06): 49-54.

[2] Zhang Dingzong, Wang Xinwen. Teaching Reform of Mathematical Physics Methods Course under the Background of Normal Professional Certification[J]. Journal of Hunan University of Science and Engineering, 2025, 46(03): 80-84.

[3] Zhang Lihua, Han Zenan, Jiang Guisheng, Wu Zhaowang, Ma Yewan, Li Lingli. Innovative Exploration and Practice in the Teaching of Mathematical Physics Methods Course[J]. Journal of Anqing Normal University (Natural Science Edition), 2022, 28(01): 105-108.

[4] Yan Linli, Zhao Jinyu, Liu Yuan. Practical Experience of Ideological and Political Teaching in Mathematical Physics Methods Course[J]. Scientific Consult, 2024(12): 179-182.

[5] Qin Lirong, Zhao Jianwei, Ran Yangqiang, Chang Junli. Research on Practical Path of Curriculum Ideology and Politics in Physics Major Teaching——Taking Mathematical Physics Methods Course as an Example[J]. Journal of Higher Education, 2024, 10(08): 169-172.

[6] Yu Min. Research on Interdisciplinary Practical Teaching Design of Junior High School Physics[D]. Qufu Normal University, 2025.

[7] Tan Jia, Zhao Run, Su Mingming. Application of Mathematical Software in the Teaching of Mathematical Physics Methods Course[J]. Science & Education Review, 2023(14): 74-77.

[8] Zheng Yong. Teaching Treatment of Euler Equations in Mathematical Physics Methods Course[J]. Guangxi Physics, 2020, 41(04): 53-55.

[9] Li Qingliu. Teaching Reform of Mathematical Physics Methods Course[J]. Science & Technology Vision, 2020(18): 51-52.

[10] Tian Xiuyun, Xie Qin, Shi Wenqing, Xie Yuping, Li Shende. Teaching Exploration and Practice of Mathematical Physics Methods Course[J]. Innovation Entrepreneurship Theory Research and Practice, 2023, 6(12): 14-17.

[11] Yang Yuntong, Lü Xiuli, Mou Haiwei, Han Jian. Research on Teaching Design of Mathematical Physics Methods Course under Professional Certification Background[J]. Heilongjiang Science, 2020, 11(15): 20-21.

[12] Lu Junguo, Du Wenhe, Sun Yanmei, Cui Quanling, Ai Ruibo. Research on Teaching Methods of Mathematical Physics Equation Course for Electronic Majors[J]. Journal of Science of Teachers' College and University, 2014, 34(01): 40.

[13] Matthew Mears,Louise Dash,Ross Galloway,Calvin Karpenko,Nicolas Labrosse,Victoria Mason,Mark Quinn.Mixed-Methods Study of First-Year Physics Students:Soft Barriers to Coding[J]. Journal of Science Education and Technology,2025,34(2):1-16.

[14] Amanda de Barros Lima,Julia Sorroche,Armando Massao Tagiku,Jose Dutra de Oliveira Neto.Digital pedagogy:experiential learning theory improves mathematics learners’engagement and learning outcomes in optical physics course[J].Physics Education,2024,59(5):055007.

[15] Jeremy Levy,Chandralekha Singh.Teaching quantum formalism and postulates to first-year undergraduates[J]. American Journal of Physics,2025,93(1):46-51.

[16] Julio Elias Normey Rico,Marcelo Menezes Morato.Teaching Control with Basic Maths: Introduction to Process Control Course as a Novel Educational Approach for Undergraduate Engineering Programs[J].Journal of Control,Automation and Electrical Systems,2024,35(1):41-63.

[17] Donovan Skye,Negley Kelly J,Moran Megan W,Craig Jason A.The Impact of Modifications in Cadaver Dissection Time on Student Learning Outcomes in a Doctor of Physical Therapy Program.[J].Clinical anatomy(New York,N.Y.),2022,36(2):224-233.