As far as the major itself is concerned, the requirements for mathematics vary from person to person, depending on which direction to take.
According to my working experience (structural design of electronic equipment), I often use the following knowledge:
Advanced mathematics: differential, partial differential, integral transform (Fourier transform, Laplace transform, etc. ) higher requirements, especially dynamic analysis and automatic control. In fact, a vibration system is a differential system in time domain, and Fourier transform is needed to obtain the natural frequency information of each order of vibration. The control theory is the application of differential equations from a certain angle. Electromagnetic field theory also needs a lot of calculus knowledge. In fact, when it comes to "field", you should have a good understanding of differential, partial differential, gradient, curl and so on. )
Linear algebra: it is very important for mechanical system design and optimization design, especially for matrix transformation.
Probability theory: widely used in tolerance analysis, including WC analysis, RSS analysis and Monte Carlo analysis.
As far as the curriculum of the school is concerned, the requirements for mathematics in the undergraduate stage will not be too high, but the postgraduate stage will be higher. If you want to do finite element analysis, you need more knowledge.
Anyway, a lot of work is done by software now, and there is no need to do large-scale calculations. But a thorough understanding of this knowledge will help to design a more perfect product.
It seems a bit confusing, and it is really difficult to explain clearly the application of mathematics in machinery industry in a short space. I can only introduce myself from what I have done. If you don't do design in the future, you just want to follow the experience of your predecessors to make products, or you don't do this line at all in the future, then mathematics hardly matters, and the undergraduate course is not too sad. Otherwise, prepare to learn it hard.
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Answer Me is very good. I don't know much about other majors. I think science and engineering majors should have high requirements for mathematics.