As a basic subject, mathematics attaches great importance to the foundation. In fact, the problems of postgraduate entrance examination are basically the deformation of basic questions. As mentioned above, the key to solving a difficult problem is to be able to turn it into several simple basic problems. Therefore, everyone should master certain skills, but focus on the foundation. Judging from so many years of postgraduate entrance examination questions, even if you can't use skills, it may take time to use basic methods honestly, but you can certainly do it. Wan Xuehaiwen combined with several components of postgraduate mathematics, and summarized some specific review skills for your reference.
It should be said that the simplest part of postgraduate mathematics is linear algebra, and the difficulty in this part lies in the fact that there are many concepts and they are interrelated (we must make clear the concepts of correlation, similarity, contract and equivalence). The main line of linear algebra is to find the solution of the equation. As long as the concept and general method of the solution of the equation are thoroughly understood, it is very simple to look back at the previous content. At the same time, from the examination content, the examination content is basically the same, which can be said to be the most inflexible and relatively fixed part. The examination questions in recent years can be said to be duplicates of the previous ones. It is in everyone's best interest to study the previous questions carefully. In the score of 150, linear algebra accounts for about 38 points. As long as the basic knowledge is firmly mastered, it is not a problem to get high marks in the exam.
The other part is probability statistics, which should be said to be relatively plagiarized, because all the contents of advanced mathematics and linear algebra can be tested together, especially the calculation of distribution function depends largely on double integral, and the probability part is closely related to daily life, which invisibly increases the difficulty of postgraduate entrance examination. The key of this part is to study methods and concepts carefully. For example, in 2003, the two major problems in the postgraduate entrance examination were to calculate the probability density through distribution function, which is actually the concept of distribution function. You'd better find a good textbook to review. The other part of the statistical formula is very complicated, but the application is relatively simple, and the formula is basically used directly. In this part, the three types of distributions of X2, T and F must be clearly understood, and the questions in the statistical part can be easily won after being clearly understood.
The most difficult part of mathematics entrance examination is advanced mathematics, which may be partly because everyone is a freshman when learning advanced mathematics. It is estimated that the study has not adapted to the university environment, or the attitude is not very serious, or the time is in a hurry. In fact, when it comes to mathematics of science and engineering, it is more difficult in advanced mathematics (the linear algebra difficulty of mathematics 1 is similar to that of mathematics 3, and its probability and statistics part is definitely simpler than that of mathematics 3). This part must grasp the basic problems and try to lose as few points as possible. Be sure to avoid losing points because of calculation errors, or you will regret it. You should master the questions in the following parts carefully. The questions in these parts are relatively simple and fixed. Don't take it lightly and miss the opportunity.
In the review process, we should also adhere to the following points.
1) thoroughly understand the requirements of the examination syllabus and review the positioning accurately. By analyzing the outline, highlight the key points of exam review and firmly grasp the hot spots of the exam.
2) Pay attention to the basics, pay attention to and deepen the review and understanding of basic concepts, basic theorems and basic directions, and lay a good foundation. Mathematics is a deductive science. First of all, we must have a deep understanding of the concept. Otherwise, it is inevitable to answer irrelevant questions or even do the opposite. Therefore, only if you have a solid basic skill can you further improve your problem-solving ability.
3) Strengthen the training of comprehensive problem-solving ability, be familiar with common test questions and problem-solving ideas, and strive to make a breakthrough in problem-solving ideas. The difference between the exam questions for postgraduate entrance examination and the exercises in the textbook is that the former is a comprehensive application based on a full understanding of basic concepts, basic theorems and basic methods, and it has great flexibility. Often a proposition covers multiple contents, involving concepts, intuitive background, reasoning and calculation. Therefore, we must strive to make a breakthrough in solving problems, do a lot of comprehensive exercises while laying a good foundation, and analyze and summarize more questions.
Of course, intensive training before the exam should also pay attention to many problems. When doing simulation questions, we should pay attention to the allocation of answering time, so that we can know fairly well and take our time. Remember the mathematical formula before doing the problem, and it will be handy to use it. You should also draw inferences and pay attention to the connection between knowledge points.
I wish you success in the postgraduate entrance examination!