Some professional courses are all in English, but you don't have to worry about not keeping up with English in class. If you want to make up for it during the holiday, you can improve your speaking and listening first, and you'd better find software in this field.
As for mathematics, it is really the content of Mathematics III, with emphasis on calculus, advanced algebra, probability theory and mathematical statistics. Well, you don't need to study in advance, just follow the course when you get to school.
There are many kinds of school scholarships. National scholarships, national inspirational scholarships, scholarships set by enterprises, academic scholarships, etc. If you do well in any aspect, you can get it
As the first batch of public universities supported by the national study abroad fund, studying abroad at public expense has opportunities for public schools. However, there is also some competition in the school. It seems that 50 or 60 people can get the indicators every year. Official website, the National Scholarship Fund Committee, asked for more detailed conditions for studying in public schools, so you can learn more about them.