Automotive electronic control, bionic control, industrial automation and intelligent information processing have broad development prospects and strong vitality. If the four majors of mathematics, physics, statistics and computer don't delay the transfer to finance, the tutor still likes it, and the financial employment is also very wide. I think it may be difficult, because these majors are difficult to take the exam by themselves, and your daughter is not majoring in this major.
Mathematics is a good major, and I am a girl. It is recommended to transfer to professional financial mathematics and big data. It is best to study for a doctorate. Stay in colleges and universities for teaching and research. If you are a girl, you should consider actuarial, biostatistics, quantitative economics and other applied disciplines based on mathematics. If you choose a subject that has nothing to do with the original, you will have to study again and it is very difficult, and the chances of being admitted will also be reduced. Take an examination of a graduate student in finance. It is not a problem to go to a large state-owned bank after graduation, and the job stability is good.
My son's mathematics, boasting that his major is quantitative economy and computer, or new materials, or nuclear physics, can all take the postgraduate entrance examination for mathematics. Many professional tutors are willing to take the popular electrical engineering or computer courses at present, but it is difficult to cross majors (although it is better for you to cross from science to engineering). Let's see what your children like. If you are willing to study, you'd better study for a doctorate, which is the place with the largest range of mathematics majors. Neither you nor your girlfriend knows what to study. Ask someone else. How do others know what she wants?