This study aims to apply mathematical modelling methods focusing on the fishing songs of Poyang Lake for its conservation and digital reform. Through the principles of abstraction, model building and parameter estimation of mathematical modelling, we will quantitatively analyse the efficiency of cultural heritage and the degree of influence of digital reform. Specific methods include time series analysis, data mining and optimisation models. These tools will provide theoretical support and quantify the complexity of the problem by introducing corresponding mathematical models and formulas.

Under the background of the continuous development of science and technology, the era of big data has come in an all-round way, and big data technology has also been widely used in the education industry. The course of financial management in applied colleges and universities is a highly applied course, which focuses on the substance of the course. Teachers need to create a good learning environment for students with the help of information technology, and constantly cultivate students' professional skills and professionalism. In order to improve the quality of financial management courses in colleges and universities, this paper mainly analyzes the management courses in application-oriented colleges and universities, expounds the factors affecting the practical teaching quality of management courses in colleges and universities, and analyzes the teaching methods of management courses in application-oriented colleges and universities. Finally, it is concluded that only when teachers constantly improve their teaching level, can students' learning level be improved by combining theory with practice.

Experimental teaching is an efficient way of education, through practical operation and experimental activities to help students deeply understand theoretical knowledge, cultivate practical ability and solve practical problems. As an important engineering practice course, "Electrical and Electronic practice" has a special status and function in application-oriented undergraduate colleges. In the face of the rapid development of science and technology, the way of education must be innovated constantly. In this paper, a combination of Online and offline teaching reform is carried out for the Course "Electrical and Electronic Practice" offered by application-oriented undergraduate colleges. SPOC (Small Private Online Course) is established on the basis of MOOC, which combines online and offline teaching to promote the all-round development of students. It cultivates their practical ability and competitiveness, and lays a solid foundation for their future career and academic path.