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Listen carefully in class and practice more after class.
Mathematics: Theorems in textbooks, you can try to reason on your own. This will not only improve your proof ability, but also deepen your understanding of the formula.
There are also a lot of practice questions. Basically, after each class, you have to do the questions of the after-class exercises (excluding the teacher's homework). The improvement of mathematics scores and the mastery of mathematical methods are inseparable from the good study habits of students, so good mathematics learning habits include:
Listening, reading, **, homework Listening: should grasp the main contradictions and problems in the lecture, think synchronously with the teacher's explanation as much as possible when listening to the lecture, and take notes if necessary After each class, you should think deeply about it and summarize it, so that you can get one lesson and one lesson Reading: When reading, you should carefully scrutinize, understand and understand every concept, theorem and law, and learn together with similar reference books for example problems, learn from others, increase knowledge, and develop thinking **:
To learn to think, after the problem is solved, then explore some new methods, learn to think about the problem from different angles, and even change the conditions or conclusions to find new problems, after a period of study, you should sort out your own ideas to form your own thinking rules Homework: to review first and then homework, think first and then start writing, do a class of questions to understand a large piece, homework to be serious, writing to standardize, only in this way down-to-earth, step by step, in order to learn mathematics well In short, in the process of learning mathematics, It is necessary to realize the importance of mathematics, give full play to one's subjective initiative, pay attention to small details, develop good mathematics learning habits, and then cultivate the ability to think, analyze and solve problems, and finally learn mathematics well
In short, it is a process of accumulation, the more you know, the better you learn, so memorize more and choose your own method. Good luck with your studies!
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You can't read the concepts and theorems in Tongji's textbooks on paper.
Until your thinking is similar to the textbook.
Do some classic example questions appropriately.
At this time, you go to graduate school for mathematics 130 without any problem.
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Method 1: If you are a smart person, start with the concept. Understanding the principles is the most important thing.
Then find a more comprehensive question to do, it is not too much, but the skill is to do a question several times, and you will find that you don't need to spend too much effort to get your grades skyrocketing.
Method 2: If you really don't feel high math, copy the book, copy the whole book, and even if you can't do it, you will memorize all the exam questions (the university exam is basically from the book). My mentor thought he was copying books back then.
Method 3: If you just can't learn it by yourself, then chase the teacher and ask (the attitude must be good, and you must learn to grind and soak), and the teacher will definitely be able to give you a lecture. Even if you still don't understand, the teacher will give you a good grade for the sake of your humble advice (don't forget to tell him your name, you know, of course).
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Do all the questions of "Tongji Sixth Edition" twice, and you must fully understand them.
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I took notes on paper while listening in class, and then transcribed them myself after class, thinking about why while writing, and figured out everything in the notes. Then selectively flip through the books, because some teachers will selectively ignore some knowledge points for different majors, and you don't need to read them. In this way, you will understand the content of the teacher, and you are still short of mastering and consolidating, then do the exercises in the book, especially the homework (it must be useful questions after the teacher's screening), you must be serious, if you really want to learn high mathematics, don't copy the answers to those exercises, the method is different, you don't like to use your own brain if you are used to copying, that thing is really not good, you can only learn from it and not plagiarize, there are countless cases around me.
And I think the most important point is that if you want to save effort in learning advanced mathematics, then take it seriously at the beginning of contact, no matter what method you choose, if you pull it down, and then want to chase it, it will be too tiring and difficult. Listen to the teacher, he is definitely doing it for your good. As you learn, you will find that high mathematics is not as difficult as you imagined, but it is also very interesting and magical, and the people who put forward those theories are definitely great bulls.
If you do a good job in high math, it will make others look at you differently, and it will also be your advantage.
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I will say that one of the stupidest methods, and the most effective, was taught by the counselor when I was in school, that is, to copy the table of contents of high numbers, copy them by chapters, and at the same time think while copying, pay attention to grasp the overall situation, and what you say can form a main line in your mind, even if you succeed, it works.
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There is no way, read more books, do example problems, focus on the most basic, no need to delve into the difficult ones, it is useless.
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It's not hard to learn like you did in high school.
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First, understand the concept. There are many concepts in mathematics. A concept reflects the essence of a thing, and only by figuring out how it is defined and what its properties are can we truly understand a concept.
Second, master the theorem. A theorem is a correct proposition that is divided into two parts: conditions and conclusions. For theorems, in addition to grasping its conditions and conclusions, it is also necessary to understand its scope of application and achieve a definite purpose.
Thirdly, on the basis of understanding the example problems, make an appropriate amount of exercises. Learners should be reminded that the example problems in the textbook are very typical, which is helpful for understanding the concepts and theorems, and should pay attention to the characteristics and solutions of different example problems, and make appropriate exercises on the basis of understanding the example problems. When composing questions--- you should be good at summarizing, not only summarizing methods, but also summarizing mistakes.
In this way, after the completion of the work, there will be something to gain, and to be able to draw inferences.
Fourth, clarify the context. It is necessary to have an overall grasp of the knowledge learned and summarize the knowledge system in a timely manner, which can not only deepen the understanding of knowledge, but also help for further learning.
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It's just to listen carefully in class, and then look at the courseware after class to do the questions."
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Be sure to keep in mind the formula, read the content of the book carefully twice, and at the same time think, don't listen to the teacher's lectures, homework is even more burdensome, as long as you do a few questions in the workbook, it is definitely better than those who study hard, at least they will not fail.
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