Abstract: As an important part of China's education, the teaching quality of private schools affects the growth of students and the reform of China's education. Therefore, teachers in private colleges and universities need to actively master advanced teaching ideas and methods in the teaching process, and integrate scientific teaching ideas and methods into classroom teaching. As a basic course of higher mathematics, private schools should be able to reform the teaching form of Higher Mathematics according to the new curriculum standard. In order to solve the problems of the application-oriented teaching in private colleges and universities, this paper puts forward some countermeasures.

Key words: Privately run, Applied undergraduate, Higher mathematics course