How do universities teach themselves advanced mathematics?
1. A high school (or technical school) must first have solid basic skills. If you return all the knowledge in middle school to the teacher, I suggest you read the books in middle school first, especially exponential function, power function, logarithmic function, trigonometric function and so on. 2. The chapters of advanced mathematics are interrelated and promoted layer by layer, and each chapter is the foundation of the next chapter, so we must learn step by step. Only when you really understand this chapter can you move on to the next chapter. Don't learn too fast. 3. The most basic thing to learn advanced mathematics well is to be prepared before class, take notes in class, pay attention to problem-solving methods, and review well after class. These three steps are important links to learn advanced mathematics well. 4. Senior two should strengthen the understanding of basic concepts and master the basic examples in books. There is no need to extrapolate. Most of the questions, especially the big question of probability, are the same, which is nothing more than changing the examples in the book, so there is no need to do many questions, as long as you "really" know how to do the questions in the book. Therefore, in the process of learning, we must really understand the contents, concepts and theorems of each chapter, which can be done by reading books several times more. When reading a book, you must calm down, because the content of high school number two is difficult to understand. Don't give up when you can't stand it. You must grit your teeth and read on. One thing to note here is that the proof process of theorems and inferences in high number two may be many, long and complicated. I suggest that you don't have to look at these proofs, just grasp the essence-theorems and inferences and understand them well. Generally speaking, the content of Shu Gao Yi seems to be less, which is not difficult to understand. However, due to the variety, close relationship and variety of questions, a question may involve several chapters, which is more difficult. Senior two, the content is more, but also more difficult to understand, but the topic is relatively simple, the topic is relatively single, and it is possible to read them all. For their study, a very incisive sentence: first, do more questions; Senior two, read more books, understand!