What's the difference between college mathematics and high school mathematics? The difference is that college mathematics belongs to advanced mathematics, that is, advanced mathematics, while high school mathematics belongs to intermediate mathematics, that is, intermediate mathematics.
In terms of grade, college mathematics is higher than high school mathematics, with higher grade and wider content. Just like a driver's license, it is also a bus driver's license. A 1 driver's license is higher than b 1 driver's license. A 1 driver's license can drive large buses, and b 1 driver's license can only drive small and medium-sized buses.
There is a certain relationship between college mathematics and high school mathematics. If you want to learn college mathematics well, you must learn high school mathematics well. If you can't learn math well in senior high school, you can't learn math well in college. There are calculus, partial derivatives, infinite series, spatial analytic geometry and so on in the university.
If you don't even know the derivatives, series and plane analytic geometry in high school, do you think your college mathematics is ok? This is obviously impossible. College mathematics has a wider range of knowledge and more contents than high school mathematics. Therefore, if you want to learn college mathematics well, you must learn high school mathematics well.
There is still a certain relationship between high school mathematics and college mathematics. Those who can do high school mathematics may not be able to do advanced mathematics, but those who can do advanced mathematics will definitely do high school mathematics. It's like asking undergraduates from the Department of Mathematics of Tsinghua Peking University to do the college entrance examination paper. The total score of 130 and 140 is normal.
If the top students in key middle schools are asked to do the advanced mathematics papers in those universities, although these top students can also take 130 in mathematics in the college entrance examination, the full score is also 150, not to mention that unless they are geniuses, it is difficult to pass the exam.
However, those who are good at advanced mathematics must be good at high school mathematics. Only ordinary high school students can get 100 points in mathematics in the college entrance examination. Unless you are a master, it is possible to get scores above 130 and 140. So there is a certain relationship between high school mathematics and college mathematics. In fact, learning college mathematics can get twice the result with half the effort, and high school mathematics is not too difficult.