Generally speaking, these foundations are necessary, but you don't need to master them skillfully. Basically, as long as math can pass the college entrance examination, you can learn advanced mathematics well, even if it is the advanced mathematics exam in Tsinghua.

But if you want to learn advanced mathematics well and learn advanced mathematics well, your high school foundation is very important, because advanced mathematics needs many elementary methods, especially in the proof problem and series part of unary calculus. In addition, the problem of surface integral requires you to cultivate strong spatial thinking ability in high school. Specifically, if you can't get 65,438+020,65,438+030 in the college entrance examination, it's no problem to study high numbers, but it will be more difficult to take the postgraduate entrance examination and compete, and it will be difficult to get high marks. Because the requirements of higher mathematics teaching for undergraduate students are not high, far below the requirements of competition and postgraduate entrance examination, it is not easy to have a good foundation if you want to go deeper.