The review of postgraduate mathematics is often brain-burning, and I hate complicated mathematical formulas. The following is the experience sharing of personal review, which is for reference only. Everyone may have different ways and means.
Review materials:
The main materials are: review guide for postgraduate mathematics, 15 sets of simulated examination room for postgraduate mathematics, and 400 questions for postgraduate mathematics.
Auxiliary materials include: teaching materials related to Tiandao Postgraduate Entrance Examination (advanced mathematics, line generation, probability statistics) and teaching materials.
Among them, the main review materials refer to the contents that need to be omitted once (or many times), and the auxiliary materials refer to some concepts, special problem-solving ideas and so on. The characteristics and usage of these materials will be introduced later in the "review process".
Review process
Preheating stage: during and before the summer vacation, read books when you are free and interested, with the aim of preheating, no matter how much you read. But in fact, you can see more or less. Don't be too hard on yourself during this time, because there is still a lot of time. At the same time, individuals feel that they enter the high-intensity review state too early, which will easily lead to later fatigue and boredom, and affect the motivation and energy of reviewing for the exam.
Basic review stage (1): I entered this stage from July 1. At this time, it has entered the high-intensity review stage. I mainly read the review guide during this time. This is a book with a thickness of over 400 pages. My evaluation of this book is "extensive and profound", which not only summarizes all the basic knowledge and concepts required by the outline, but also collects many examples and exercises, including the real questions of the postgraduate entrance examination over the years. Therefore, after preheating, reading this book in a down-to-earth manner is very beneficial to master and understand the basic knowledge and problem-solving ideas. When reading this book, you should pay attention to:
1) You must master and understand the basic knowledge and concepts carefully. If you don't understand them, you must explain them clearly with the help of auxiliary materials. Only then can you look at the examples and exercises.
2) For each example and exercise, you must do it yourself before reading the answers and solutions, then summarize and reflect on the answers and solutions in the book, and write down your feelings next to it. Mark the topic with different marks. At that time, I was mainly divided into three situations: one was what I could do; Second, you have the right idea, but you don't write it completely, or you don't do it right; Third, I have no right ideas and no wrong ideas. Doing these marks well can make your follow-up review more targeted.
3) Be sure to write a good title. You can do the experiment by yourself, understand a problem, and when you feel there is no problem, try to write it down smoothly with the notebook you recite. I believe that most people can't do it. So I strongly suggest that you get into the habit of doing things at the beginning of your review, which is the only easy criterion to test whether you have mastered it completely.
4) Be sure to pay attention to the summary. When looking at concepts and knowledge points, underline some key words; For those who don't know much at first, write your own understanding after understanding. When doing the problem, you should also write down why you couldn't do it at that time, what kind of typical problems you should see in the future, and what kind of reactions and ideas you should have.
5) This thick book is extensive and profound, which brings together many difficult problems, so you will encounter many difficulties and even torture when reviewing for the first time. At this time, I need to tell myself that this is normal. Imagine that if you can read this book easily as soon as you get it, there is no need to review it. At this stage, we must not lose heart, we must persist and move forward step by step. When you encounter a problem that you really don't understand, let it go first. If there is an opportunity, you can get to know them by consulting teachers, classmates or consulting materials. In fact, some problems will be "suddenly enlightened" in future review.
Basic review stage (2): This stage and the easy stage can be carried out alternately. Personally, the second phase started in August. This stage is mainly to use the opportunity of listening to the remedial class to "sweep" the basic knowledge of mathematics for the second time. Because of the foundation of the first easy stage, I have already had a certain impression in class, so I can basically keep up with the teacher's rhythm. After class, combine class notes and review guides to consolidate again. I feel that the alternation of these two processes has given me a better understanding and mastery of most basic knowledge. In addition, remedial classes vary from person to person. Because I don't like to go to a crowded remedial class, I went to an online school where I can listen to lectures repeatedly, so as to consolidate the contents of the teacher's back and forth. Yi's disadvantage is that some handouts need to be printed by himself. The name of the online school is Tiandao PubMed Online School, and there are many other online schools. I think this is relatively better. There is a saying called "honest people, heaven is also", so I appreciate their names very much.
Experience stage of real questions: this stage is mainly about experiencing the difficulty of real questions and solving ideas. I spent two months at this stage. The experience and judgment at that time was that the real question was actually not difficult. As long as you are careful and pay attention to speed, you can get high marks.
After reviewing the above three stages (about165438+1mid-October), I found a rather troublesome problem, which I believe everyone will encounter. This is: most things in books can be understood, but there are too many things, which are easy to forget and difficult to write when doing problems; At the same time, I feel that a thick book is forgotten after reading the front and back, and forgotten after reading the front and back.
In view of this situation, I think it can only be solved by strengthening training, so I entered the simulation stage of the set of questions. At this stage, every time you do a set of simulation questions, you can review the important contents of all chapters. Although you can't cover every knowledge point, you can review those important knowledge at will. I think it's much better than reading thick books over and over again.
The following principles should be followed in the simulation stage of the problem set:
1) Simulated examination room: It is necessary to simulate the examination room regularly (3h/ set). You may not understand without doing a set of questions. Running for three hours at high intensity is still very tiring. You must stop answering questions and then grade yourself against the answers. Only in this way can we be more aware of our situation and put pressure on ourselves.
2) Make good use of the answers: after each set of simulation questions is completed, arrange enough time to compare the answers and make a comprehensive, systematic and detailed summary. This time usually exceeds the time to do the problem, that is, more than 3 hours. I once said that the process of summarizing is actually the process of storing knowledge in your brain in an orderly way. Don't just look at the answer and say "so that's it".
3) Pay attention to reflection: Every time you do several sets, you need to go back and summarize your knowledge points, chapters and topic types that are prone to problems, analyze the reasons and formulate countermeasures. When necessary, special training can be carried out with the help of auxiliary materials to make a breakthrough.
To sum up: it is enough to master the real questions for ten years, do more exercises, summarize the questions and rules, and break through the knowledge points one by one. In fact, several other courses of English politics are the same.