As an important compulsory basic course for relevant majors in universities, public mathematics is an important part of the course system in the talent training program of local application-oriented universities. From the perspective of the construction of local application-oriented high-level universities, this paper takes Sichuan University of Arts and Science as an example, investigates and analyzes the current conditions of the course of public mathematics, and gives a reasonable optimization scheme of the course system of public mathematics combined with optimization ideas and improvement direction.