Advanced mathematics, as a basic compulsory course in colleges and universities, lays the foundation for various professional studies and plays an important role in cultivating students' follow-up study. It is precisely because higher mathematics has such a role that it determines its position in various scientific and technological fields. Advanced mathematics has increasingly become a tool to solve practical problems in various disciplines, and plays a decisive role in solving problems in many cases. With the rapid development of science and technology in today's society, the requirements for advanced mathematics are getting higher and higher. This requires people to change the traditional teaching concept and carry out innovative reform and development of higher mathematics education, so that higher mathematics can keep up with the pace of the times and meet the needs of modern development. In the past time, people have never stopped the reform of advanced mathematics, but the teaching methods and modes have not changed fundamentally. The traditional and outdated teaching mode can't meet the development of various disciplines at all. Therefore, the reform of higher mathematics education is imminent. Second, the concept of higher mathematics education reform, (1) education quality, pay attention to the cultivation of students' quality by the content of higher mathematics courses. It is emphasized that advanced mathematics course can not only learn knowledge, but also promote the healthy development of students' body and mind, cultivate students' good moral character, make students learn to learn and cultivate the idea of lifelong learning, so that students can better handle the relationship between theoretical knowledge, practical ability and personal quality in advanced mathematics course. We should avoid focusing only on the accumulation of knowledge and ignoring the development of students' experience and skills, practice and innovation, quality and morality. (2) The practical application of theoretical knowledge, the first thing to be solved in the practical application of theoretical knowledge is the difference and connection between the teaching content of advanced mathematics and the elementary mathematics learned in junior and senior high schools, as well as the emphasis on the connection between knowledge. According to the needs of modern society and the development of disciplines, we should change the problem that traditional courses are too numerous, miscellaneous, old, difficult and complicated. (3) Inquiry learning emphasizes that students are the main body of learning, and highlights students' ability to learn and transfer advanced mathematics knowledge. In the teaching of advanced mathematics, there should be more scenarios and problems. Improve students' ability to find, ask, analyze and solve problems. Paying attention to students is the main body of analyzing and solving problems, which can better train students' ability to collect and process information. Third, the practice of higher mathematics teaching reform Nowadays, in view of the problems existing in higher mathematics, various colleges and universities have carried out various reforms. There are mainly the following reforms: (1) the change of teaching concept, from the traditional emphasis on knowledge transmission to the emphasis on quality education and the cultivation of practical innovation ability. (2) The implementation of a variety of teaching methods, the traditional teaching methods focus on imparting knowledge, the method is single, and can not stimulate students' interest in learning. (3) Reasonably adjust the teaching content, and set the corresponding higher mathematics teaching content according to different majors. Through targeted learning, improve efficiency and stimulate interest. Let's introduce the teaching contents, methods and means in colleges and universities.