With the large -scale university enrollment, the individual, regional and mathematics - foundation discrepancies between students are bound to occur. Accordingly, the teaching of higher mathematics should not be of a single mode and the same requirement. At the same time, the social structure of the demand for talent has undergone so great a change that the university has to not only nurture students of social applicability but also to train elitist high - tech talent. Therefore, due to the discrepancies of students and social demand, higher ma...