Abstract: Knowledge graph technology has significant value in the reform of higher mathematics teaching, it constructs a semantic network of mathematical concepts, transforming abstract mathematical knowledge into visual structures and revealing the inherent connections between knowledge points. Practice has shown that knowledge graphs empower innovative teaching models to improve teaching effectiveness and enhance students'understanding of core knowledge such as multivariate function differentiation and double integration. Building an intelligent teaching environment based on knowledge graph technology, achieving personalized learning path guidance, and forming a systematic curriculum reform plan. Exploration of teaching practice has found that the teaching quality monitoring system supported by knowledge graphs effectively promotes the optimization of the teaching process and overall improvement of the quality of higher mathematics teaching.

Key words: Knowledge graph, Advanced mathematics, Teaching reform, Intelligent teaching, Personalized learning, Teaching quality