After working hard in three schools for 8 months, I finally entered the dream 985 University for postgraduate study. My method of reviewing mathematics is stupid, which is suitable for students with poor foundation.
Use books and learning methods
● Teaching materials
Advanced Mathematics and Linear Algebra are published by Tongji University, and Probability Theory is published by Zhejiang University.
According to statistics, 120 is the basic score, that is, the sub-topic and the moderately difficult question, and 30 is the more difficult question, which divides the gap!
Textbooks, but most people don't have time to do textbook questions, or they can't calm down and do textbooks.
The strategy I adopt is to review directly from Li Wang's Review Complete Book or Zhang Yu's Thirty-six Lectures. For exercises that I can't do or make mistakes, I will go to the textbook to find the corresponding basic questions to practice, which is the most efficient! ● Basic books of mathematics review outline.
There are two mainstream versions for reference.
First place: Li Yongle, Wang Shian, editor-in-chief of Mathematical Review.
Second: Zhang Yu Gao Shu 18 lecture, line generation 9 lecture, probability 9 lecture.
If you have both sets of books, borrow the books used by the seniors before to see which one suits you, and then listen to their suggestions. It's best to talk to different seniors who have used different books about their views on these books, mainly their shortcomings.
In fact, you can choose both sets, depending on which one you adapt to. This is the intelligence work you should do well!
The title of Li Wang Boxing Book is moderate in difficulty, close to the real difficulty, strong in actual combat, and of great reference value and enlightening significance.
The topic of Changyu 36 Lecture is more difficult and accurate, which is suitable for key and difficult breakthroughs, and the high-number part is better.
I use the whole book, so let's say the whole book.
It's better to read this review book more than 4 times, and don't think it's many times, because the more you look back, the less time you spend reading. In my calendar for postgraduate entrance examination, it is clearly recorded that I started reading math review books on June 20th, the first time ended on August 22nd, the second time ended on September 25th, and the third time ended on 10. 10. Note that the whole book and textbook should be read all the time as reference books!
Specific practices:
For the first time, it took two months to do the whole book examples and odd exercises after class. When reading the book for the first time, find a piece of A4 white paper and cut it into two pieces to make a shielding plate. When doing the problem, first block the answer and do it independently, and then remove the blocking board to see the solution process of the example.
Whether it is an example or an after-class exercise, it should be marked and roughly divided into several categories. The first category cannot be done directly (draw a small triangle); The second kind is affordable but not right (draw a small circle); The third category is that you can do it and do it right, but the idea is simple and quick without an answer, or the method given by the answer is novel (drawing a five-pointed star). Please note that no matter the first, second and third annotations, please write two big characters in front of the annotations: Redo, so that your book will have more color after the first time!
It took 1 month for the second time, and the even-numbered problems in the whole book and after-school exercises were repeated, and they were marked again according to the methods and agreed symbols of the first time (for example, Example 5 in the second chapter was marked as "redo (o)" when it was done for the first time, indicating that it was economical but wrong to do this problem for the first time. In the second pass, if the problem is not directly solved in the second pass, the marked symbol is written as "Do it again (O, δ)". By the third time, you will understand that this problem was done the first time, but it was not done correctly, and it was not done directly the second time. And so on! )
It takes 15 days for the third pass to do the examples and exercises marked in the first and second passes, and mark them in the third pass! That is to say, if the topic of "redo" for the third time is still not solved, or it is wrong, or there is no novel way to master the answer, then please write the word "redo" before "redo" and it will become "redo". These topics are the key topics in the fourth review of the whole book, so you should integrate them to form a special topic, because these topics are obviously yours.
After three times, I have mastered at least 80% of the knowledge in the book. At this time, the time has reached the end of 10. It's time to start doing the real questions! The fourth time of the book was done when the first real question was finished, mainly to check for leaks and fill gaps! The time behind can be less rigid and can be used flexibly!
Li Wang's Summary of the Whole Book and Changyu's Thirty-six Lectures were not easy to do at first, because they were quite difficult. Here again, I recommend the APP "Bette Dog's Postgraduate Entrance Examination". They specially recorded examples and problem-solving videos of the whole book, as well as 36 classes. When you can't understand the book, you can basically understand it by watching the video, which is equivalent to the answering teacher around you. They also provide answering service, and the answering teachers are all teachers of large-scale remedial classes. Answering questions quickly and well helps me a lot.
Lectures on Guidance of Linear Algebra, edited by Li Yongle, published by Xi Jiaotong University Press.
Speaking of which, some people want to ask, isn't there already a part of linear algebra in the book? Why buy a reference book on linear algebra separately? Because this book is a classic, it can be said that if you study this book carefully, then you can ensure that your linear algebra part will not be lost!
The specific method is as follows: instead of reading the linear algebra part of the book you bought, use the instruction lecture on linear algebra instead. That is to say, in the basic books of the math review outline, what you want to read is the high number part of the book+the guidance notes of linear algebra+the probability part of the book (the guidance notes of linear algebra are marked in the same way as the previous books, and I repeat, the whole book I mentioned earlier specifically refers to.
● Analysis of mathematical test questions over the years, edited by Li Yongle and Li Zhengyuan, published by China University of Political Science and Law Press.
This is a very important book, because, as we all know, true questions are the best simulation questions. This book is a collection of real questions from 15 years, and the layout is quite wonderful! The specific layout is like this. The real questions from 15 are listed in the front of the book, and then the problem-solving process is listed in the form of a whole book in the second part of the book, that is, the first and second chapters of high numbers, the first and second chapters of linear algebra, and the first and second chapters of probability theory, with truth in the front.
Read this book three times and you can start. The specific method is as follows:
For the first time, it took a month to test all the real questions of 13. Here, I want to make it clear that the real problem of mathematics will be left until the last two years, so I won't do it for the time being. After the date of 65438+February 15, I will take a real mock exam combining the real questions of English and politics. To achieve the real state of the mock exam, the time must be controlled at 2 hours and 45 minutes, and I will stop writing immediately when the time comes.
Here, someone wants to ask, isn't the exam three hours? How can the mock exam only take two hours and 45 minutes? Because: First, you don't know what will happen in the examination room. Usually spend less time, and you will be more comfortable in the real exam. Second, when you are doing the whole book, some questions in the whole book are real questions or are adapted from real questions, so when you are simulating the exam, some questions are original questions and can be finished in a short time, so you should reduce the exam time.
The second time, it takes another month to complete the second part of "Analysis of Mathematics Examination Questions over the Years" (requiring the same labeling as the whole book). The second part is a comprehensive summary, and some previous questions in Mathematics II and III are compared with mathematics. This is very effective, and you can fully understand the exam questions!
Of course, when doing the first and second real questions, the fourth time of the book should also start. For example, after doing a set of real questions, analyze the real questions. If you encounter unclear knowledge points, you should immediately go back to the book to explain the knowledge points and related examples and exercises!
The third time, 20 days to do the second part "analysis of mathematics test questions over the years." It's like making a whole book. In fact, the layout of the second part of the analysis of mathematical test questions over the years is similar to that of the whole book. The difference is that the topics in the second part of mathematical test analysis over the years are all composed of real questions, and many of the topics in the whole book are not composed of real questions, but are adapted from real questions.
The fourth time, integrate the wrong types of mathematical questions over the years and review the whole book, classify and integrate them into special topics, and then summarize all these types of questions with reference to the whole book until you can do them with your eyes closed. Because these questions are your weaknesses, you must do well to avoid getting stuck in the exam.
● "The last five sets of questions of the University of Technology", that is, five sets of questions other than the postgraduate entrance examination.
This is a recognized simulation problem close to the real problem. It will probably come out within 15 days before the exam. There is no need for you to buy it, because many good people on the forum will upload it, so just download it yourself. It's just that there is no answer to this set of questions. After you finish writing, you need to discuss it with the comrades who review together!
● If you don't want to do "the last five sets of questions in the University of Technology", you can also do so and buy papers in other math categories.
For example, if I take the math test for the first time, I will buy the math for the second time and the math for the third time, because you shouldn't divide the math into several parts when you do the math for the postgraduate entrance examination. The more papers you do in other math categories, the greater the chance of getting high marks! After verification, many of the real questions in the postgraduate entrance examination were changed and re-tested! As far as I know, many questions about the number three are adapted from the previous questions about the number one, and some questions about the number one are adapted from the previous questions about the number two and the number three, but the question frame has not changed!
This involves a question, that is, what books should I buy to test Math One, Math Two and Math Three? Li Yongle Li Zhengyuan, the editor-in-chief of Ten Years of Mathematical Analysis, is recommended here. This book is concise, that is, the real questions and answers in the past ten years, that is, there is no second part of "Analysis of Mathematics over the Years". If you feel that time is tight, you can just buy Math II or Math III, or buy Math II and Math III, but only do the real questions for nearly five years!
Remember, the best simulation problem is the real problem! ! Moreover, I am confident to buy these real questions, because many questions in Math 1, Math 2 and Math 3 are repeated during the exam, especially in recent years. When doing the real problems of Math 2 and Math 3, many problems are done sitting on the real problems of Math 1, which is equivalent to doing it again. What's wrong with that?
Let me briefly introduce my own use of books.
I have read the textbook no less than five times, reviewed the advanced mathematics part of the book four times, read the probability part five times, read the linear algebra course six times, and did the real questions four times.
Finally, there is a little trick, that is, in the previous review, don't touch the real questions of the postgraduate entrance examination in the last two years. These two sets of questions should be left until after 65438+February 15 to have a real mock exam with English, politics and professional courses, even if it is a warm-up before the exam. I hope everyone will pay attention!