The construction of emerging engineering education puts forward new requirements for talent training. College mathematics, as a core curriculum in the university's basic curriculum, plays a vital role in talent training for emerging engineering. However, the current mathematics teaching emphasizes theory but neglects practice. To solve this problem, this paper proposed a teaching method based on a combination of case-studying of emerging engineering applications and student-centered teaching paradigm reform. Furthermore, this paper gave a specific example of instructional design based on image processing.