Teaching Research and Practice of Mathematics Course

University mathematics has always been the basic course of most majors in colleges and universities because of its basic, quality and application characteristics. With the expansion of university enrollment in recent years and the further deepening of high school curriculum reform, as the new students first faced the reform of the university mathematics curriculum and curriculum system, they encountered unprecedented new problems and challenges. This paper briefly introduces the problems existing in the teaching of university mathematics courses, and puts forward some ideas for the reform and exploration of university mathematics courses. It is hoped to explore, improve and construct a more effective teaching system of college mathematics courses to improve the quality of teaching and talent training.