Abstract: As an important public basic course for science and engineering majors in colleges and universities, advanced mathematics plays an important role in cultivating students' logical thinking, innovative consciousness and application analysis ability. This paper analyzes the problem in the traditional teaching, designs three-stages progressive teaching process, creates four-levels Stereoscopic teaching resources, implements the five-link reform of "teaching, learning, extension, supervision and evaluation", and actively carries out the practice of mixed teaching reform, so as to promote students' sense of satisfaction, curriculum satisfaction, teachers' growth and development The positive development of curriculum has achieved remarkable results.

Key words: Advanced mathematics, Mixed teaching, Innovation consciousness