Abstract: With the continuous development of big data, artificial intelligence and blockchain technology, the importance of advanced mathematics in emerging fields is becoming more and more prominent. The way to improve the teaching quality of advanced mathematics in application-oriented universities has always been concerned because the mathematics foundation of students in application-oriented universities is not ideal. Implementing the modular teaching of “case + knowledge point + popularization of application” can effectively improve the teaching effect. Attract students’ attention through practical cases and guide students to have interest in knowledge points; Students analyze, understand and master knowledge points under the guidance and refining of teachers, and finally apply these knowledge points to practical problems in their own professional fields, and use the knowledge points to solve problems flexibly.