Under the background of New Engineering，as an important basic course in science and Engineering Education，the course of Complex Variable Function and Integral Transformation is in urgent need of teaching reform according to the training concept of new engineering talents．According to the problems existing in the classroom teaching of the course，we will carry on the research from the teaching object，the teaching content and the teaching mode so as to realize student-centered teaching，to stimulate students’learning interest and promote students’sense of learning on the basis of strengthening students’basic knowledge，and to improve students’ability of practice and exploration and cultivate comprehensive and applied talents who could meet the needs of social development