Mathematics is a subject that studies quantitative relations and spatial forms in the real world. With the development of modern science and technology and mathematical science, the connotation and extension of "quantitative relationship" and "spatial form" are getting richer and richer. Mathematics is not only a tool, but also a way of thinking. It is not only a kind of knowledge, but also a kind of accomplishment; It is not only a science, but also a culture. Mathematics education plays a unique and irreplaceable role in cultivating high-quality scientific and technological talents. For undergraduates majoring in engineering in colleges and universities, advanced mathematics is a very important basic course with rich content, rigorous theory, wide application and far-reaching influence. It not only lays the necessary foundation for the study of the following courses and further expands the knowledge of mathematics, but also cultivates students' abstract thinking, logical reasoning ability, comprehensive application of what they have learned to analyze and solve problems and strong autonomous learning ability.