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Can normal mathematics and applied mathematics be programmers?
Of course.

Computer direction, including image processing, machine learning, etc., has good requirements for mathematical foundation.

Software engineering specialty is based on computer science and technology, and emphasizes the engineering nature of software development, so that students can master the basic knowledge, methods and skills necessary for software requirements analysis, software design, software testing, software maintenance and software project management on the basis of computer science and technology knowledge and skills, highlight the cultivation of students' professional knowledge and skills, and cultivate senior professionals who can engage in software development, testing, maintenance and software project management.