Abstract: Higher mathematics is one of the compulsory basic courses for students majoring in science and Engineering in Colleges and universities,in order to meet the needs of application-oriented talents at present, the classroom teaching of higher mathematics should carry out profound reform and bold innovation from the aspects of teaching concept, teaching content and teaching mode, so as to fundamentally break the dilemma of difficult teaching and learning of higher mathematics, cultivate students' mathematical consciousness, and effectively improve students' ability to solve practical problems with mathematical knowledge.

Key words: Applied talents training, Advanced mathematics, Classroom teaching reform