You can teach yourself advanced mathematics. Tell me about my experience briefly.

1. In the process of learning advanced mathematics, it is extremely normal to encounter something that you can't understand. At this time, what you need is to check some basic elementary mathematics knowledge (pay attention to systematic mastery) and go back to your own research (be sure to study hard and have perseverance. For example, it took me 1 months to understand Taylor's formula, so there is no reason why you can't understand it.

2. In the process of self-study, the only way to test the effect is to do the questions, which is also an effective way to consolidate the learning results. If you don't do the problem, even if your memory is good, it is difficult to thoroughly digest the concepts you have learned. When I taught myself electricity, I read six concepts one day and almost forgot them the next day. After that, I joined the process of doing the problem when I taught myself, so I was able to use it all in just a few days)

The most important thing to learn advanced mathematics is to know what it is and why. Almost every theorem in the book "Advanced Mathematics" is derived in detail, and the derivation process must be "written" under the condition of thorough understanding (unlike rote learning in liberal arts, it may take several days), so that there will be a very smooth feeling in the process of doing the problem.

Mathematics is a science, not as "dead" as liberal arts. When you do the problem, you must do whatever you want, and you must never copy the steps in the solution. I never copy the math teacher's steps in class. I think and make my own process, unlike taking notes in Chinese class.

In addition, there is a video lecture on advanced mathematics in Cai Gaoting. When searching for videos online, an address will be provided first.

Is it difficult for universities to advance? Some people find it difficult, others find it that way. Anyway, I think there is a god.

Is it difficult to learn advanced mathematics in universities? It is not difficult to get an advanced number in college by yourself.

Three study habits

The quality of academic performance often depends on whether you have good study habits, especially thinking habits.

First, always stand at the height of the system to grasp knowledge.

Many students are used to studying with the teacher section by section and chapter by chapter, but they don't quite understand the relationship between chapters and the overall system of the subject, only the trees can't see the forest. With the passage of time and the increase of knowledge, you will feel that the content is complicated, the clues are unclear and the memory burden is aggravated. In fact, any subject has its own knowledge structure system. Before learning a subject, we must first understand the system, grasp the knowledge as a whole, and learn the position of each part in the whole system, which often makes the knowledge easier to master.

Second, trace back to the source and seek the internal relationship between things.

Rote memorization is the most taboo, especially in science study. It is more important to find out the truth. Therefore, no matter what you learn, you should ask why. The knowledge you have learned in this way seems to come from running water and Kinomoto. Even if you ask questions beyond the scope of middle school knowledge, even the teacher can't answer them, but it doesn't matter. It is important to have a thirst for knowledge and curiosity about everything, which is often an important way to cultivate our interest in learning. What's more important is to develop this kind of thinking habit, which is conducive to the training of thinking quality.

Third, divergent thinking, develop Lenovo's thinking habits.

In learning, we should always pay attention to the relationship between old and new knowledge, between disciplines, and between what we have learned and the reality of life. Don't look at knowledge in isolation, but cultivate the habit of thinking from multiple angles and consciously train the fluency, flexibility and originality of thinking. Persistence for a long time will inevitably promote the development of intellectual quality. Knowledge learning is mainly realized through thinking activities, and the core of learning is the core of thinking. It is important to master knowledge, but it is more important to improve intellectual quality through knowledge learning, which will make knowledge learning easier. So the three study habits mentioned above are essentially three thinking habits. The focus of learning is to learn how to think.

Is it really difficult to take the college advanced mathematics exam? If it is not a big problem to learn math well in high school, it will be very difficult to learn math badly in high school.

Is it difficult to learn advanced mathematics? So first of all, we should be familiar with the nature and operation of various functions. These contents are all in high school textbooks, but they are only an introduction in a high school book. Therefore, for those friends who are going to study in Grade One, they should first look at their own foundation. If you return all the knowledge of middle school to the teacher, I suggest you finish reading the middle school books first, especially exponential function, power function, logarithmic function, trigonometric function and so on. You must be familiar with them, otherwise it may take a lot of time to learn senior one well. With a solid foundation, you can start studying advanced mathematics now. Because each chapter of advanced mathematics is interrelated and promoted layer by layer, each chapter is the foundation of the next chapter, so we must learn it step by step. Only when you really understand this chapter can you enter the next chapter. Don't learn fast for speed, haste makes waste. Especially when we don't learn well in the front and in the back, we will gather more and more questions that we don't understand. At this time, the mentality of self-learners will become more and more agitated, and they don't know where to start to improve. So we must study chapter by chapter. When studying each chapter, it is recommended to read the content of the textbook first. If it is still unclear after reading it once, read it again. Then read the examples in the book and try to do the exercises at the end of the book. If you have the conditions, you can buy some reference books to read and do problems. After doing some questions, take a set of previous exam questions and see if there are any problems in this chapter, so you can see the way this chapter is written. Be sure to do more questions. When you are in high school, you should pay attention to "Practice makes perfect". "If you are familiar with 3,000 questions, you will certainly do well in the exam." Learning senior one is a long-term process, so in the later learning process, we must make plans and do some problems in the previous chapters regularly. In the process of learning, many candidates often forget the previous content when learning the later content. Learning while forgetting is definitely not enough, and it will also affect the later study. Advanced mathematics has been a subject with a low pass rate for a year, because it is very sad that you can only learn it if you really study hard. Its problems are ever-changing and impossible to estimate. Moreover, because the chapters are interrelated, it is impossible to distinguish between key and non-key points. Many students asked if they could draw the key points. My answer was that there were no key points, because they were all key points. In addition, it is strongly recommended that learners take part in some training or have an expert who can consult, so that they can solve problems in time and learn various problem-solving methods (there are too few problem-solving methods in general books). In addition, it should be emphasized that learning advanced mathematics is a coherent process, that is to say, a phased learning plan must be made, such as six months or one year. Many friends who have failed to study advanced mathematics repeatedly may have this experience: if they are going to take the advanced mathematics exam in 10 and sign up for class, but after watching it for an hour and a half, they may not be able to study for various reasons and will only give up after learning the integral chapter. They may think, alas, it's so difficult to get high numbers, so let's take the exam next year. I gave up the 10 exam as soon as I had an excuse. Then next year, this situation may repeat itself, so that all subjects have passed, leaving only the hard bone of high number, and the mind naturally gives birth to the idea that high number is difficult. This kind of situation often happens in my previous class. At the beginning of the class, the classroom was crowded with people, but before the course was halfway through, half of them left, and few people persisted until the end, and it was these students who finally passed the exam. So sometimes I think that when students are preparing for the advanced mathematics test, it is best to just take the advanced mathematics test and devote themselves to learning. When you feel that you can't stick to half of it, don't make any excuses to escape, but think about what the problem is and why you can't learn. Find the problem and overcome it, and you will eventually succeed! 2) There is a great difference in learning between Grade Two and Grade One. First, let's talk about the similarities and differences between them. First, high number two does not need much basic knowledge, and there are simple calculations of integrals and derivatives in probability. Second, the whole content of senior one runs through the line of differential derivation and integration, while the content of senior two is not very coherent; Third, the study of senior one should fundamentally strengthen the understanding of basic concepts and theories, broaden the thinking of solving problems, strengthen the analysis and comprehensive exercises of typical examples, and draw inferences about typical problems, so it is necessary to do a lot of questions, while senior two should strengthen the understanding of basic concepts and master the basic examples in books, so there is no need to draw inferences. Most of the exam questions, especially the big question of probability, are the same, except to change the number of examples in the book. According to the above points, let's talk about the study of senior two. First of all, 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 there may be many theorems and inferences to prove in Grade Two. These proofs are long and complicated. I suggest that you don't have to look at these proof processes. You just need to grasp the essence-theorems and inferences, and understand them well. When you understand the contents of a chapter, you can do the exercises at the end of the book, and you must know how to do it, not just finish it. The main questions in senior two are: (1) calculation of determinant; (2) matrix operation; (3) solving linear equations; (4) Calculation of eigenvalues and eigenvectors; (5) simplification of quadratic form; (6) Seeking probability in probability theory; (7) Looking for distribution and digital features; (8) Find the point estimation, interval estimation and rejection domain of the test in mathematical statistics. Be sure to read all the topics about these aspects in the book and understand how to do it. 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! The above viewpoints are my understanding in learning and teaching, and are for your reference only. For the majority of self-taught students, learning advanced mathematics must combine their own knowledge background and learning characteristics, and sum up their own methods and skills for learning advanced mathematics.

The deeper you learn, the harder it is.

It is said that it is difficult to get advanced mathematics in college. Is the difficulty really true?

But it's actually easier to solve than middle school.

Just remember the basic derivative integral formula.

Then fully understand its meaning.

This is not difficult to solve.

Is it difficult to get high numbers? Advanced mathematics is indeed a relatively abnormal subject in universities. It's still difficult to learn it well, but it's easy to get by at the end of the term. Looking for the test questions of our school in previous years, the questions are similar every year. The teacher is too busy to ask new questions. You can ask your brother and sister for the exam questions in previous years. Some schools have a tradition of inheriting test questions, and sometimes the print shop next to the school can also get the questions. Baidu can also try.

High scores, ABCDG are different from each other, and ABCD is the most difficult to install. If this is what you study, you can basically give lectures on CD, and if you study well, you can give lectures to B, and you can learn and ABCD. Speaking of data, the failure rate of A we studied last semester was 5%. Of course, the teacher failed some people, and the next semester will be higher than 10%.

Don't! It's just that the concept is more complicated. I think the Tongji Sixth Edition (Engineering) I studied is ok, just because there are too few questions in the university and the concept application is not flexible. As long as I listen carefully in class and can finish my homework independently, there will be no problem!

Please accept it, thank you!