New engineering is a reform direction from the overall development strategy of the country

in order to meet the new situation of international competition and the new requirements of moral education

and its main purpose is to cope with the changes of economy and society and to shape future talents. In the curriculum of higher education institutions

university mathematics courses are the compulsory basic courses for almost all engineering majors

which not only can lay a good foundation for the subsequent professional courses

but also can improve the learning ability of other disciplines through the cultivation of students’ thinking logic ability and knowledge skills. Therefore

the innovative thinking of teaching mode of applied university mathematics in the context of new engineering is of great practical value to cultivate students’ comprehensive literacy and improve the level of composite application talents. Therefore

this paper analyzes the teaching status and innovative development path of mathematics courses in applied universities

aiming to promote the innovative construction of teaching mode and the improvement of students’ literacy.