Remind candidates to pay attention to three aspects when determining the review plan.
1, understand the outline thoroughly and lay a solid foundation.
Advanced mathematics includes eight chapters: 1, function, limit and continuity; 2. Differential calculus of unary function; 3. Integral calculus of unary function; 4. Vector Algebra and Spatial Analytic Geometry; 5. Differential calculus of multivariate functions; 6. Multivariate function integration; 7. Infinite series; 8. Ordinary differential equations. Each chapter has several knowledge points such as function, limit and continuity, which mainly examines the limit of piecewise function or the constants in known limit formulas; Discuss the continuity of function and judge the type of discontinuity; Comparison of infinitesimal orders; Discuss the number of zeros of continuous function in a given interval or determine whether the equation has real roots in a given interval. Before the formal examination syllabus comes out, candidates can review according to the contents of the previous year's syllabus. When the outline comes out, check the knowledge points after changing the outline.
By analyzing the mathematics answer sheets of candidates in recent years, we can find that the important reason why many candidates lose points is that they don't understand the basic concepts and theorems accurately, and they don't master the most basic methods in mathematics well, which brings thinking difficulties to solving problems. So I remind candidates that in the review process, we must accurately grasp the basic concepts, methods and theorems of mathematics according to the outline. Because only by deeply understanding the basic concepts and firmly remembering the basic theorems and formulas can we find the breakthrough and breakthrough point of solving problems.
2. Strengthen training and form ideas.
After remembering the basic concepts, theorems, formulas and conclusions, we should strengthen targeted training. The word "practice" shows that the math exam is to solve problems, and the basic concepts, formulas and conclusions can only be truly consolidated through repeated practice. Therefore, it is impossible to get high marks without doing thousands of questions before and after the postgraduate entrance examination. Besides, there is no such thing as a "crash".
Doing more problems will improve the ability to solve problems, especially the ability to solve comprehensive and applied problems. When reviewing, candidates should pay attention to the vertical and horizontal connection of relevant knowledge and form an organic system. For example, solving application problems is generally based on understanding the meaning of the problem and establishing a mathematical model. Now this kind of question is tested every year, and candidates usually need intensive training. For another example, when solving comprehensive problems, finding the breakthrough point quickly is a key step. Therefore, to be familiar with standardized problem-solving ideas, candidates should be able to see the internal relationship between the immediate problems and the problems they see. Therefore, when reviewing for the exam, you must rearrange what you have learned and turn it into something you really master.
3. Pay attention to real questions and refine problems.
Statistics show that the repetition rate of advanced mathematics content in postgraduate entrance examination is higher than that in previous years. In recent years, about 50% of the topics are the same as in previous years. These questions have either changed a certain number or a different statement, but the idea of solving them is almost the same as the knowledge points used. By systematically summarizing the types, characteristics and ideas of postgraduate entrance examination questions, and doing a certain number of exercises, we will consciously focus on solving problems.
For those typical, flexible, inspiring and comprehensive questions, we should pay special attention to the cultivation of problem-solving ideas and skills. Although the test questions are ever-changing, their knowledge structure is basically the same, and the test questions are relatively fixed, which requires candidates to refine the test questions when studying real questions and doing simulation questions. The purpose of practicing questions is to improve the pertinence of solving problems, form a mindset, and then improve the speed and accuracy of solving problems for candidates.
In view of the key points and real questions of the outline over the years, we should pay attention to the following points when reviewing.
1, review step by step. First of all, we should systematically review the important knowledge points of advanced mathematics, linear algebra, probability theory and mathematical statistics. Especially the important knowledge points of advanced mathematics, because they often occupy a large score, should be regarded as the most important. Knowing each test site clearly, forming a knowledge system and mastering the foundation will make the whole math review easier and get twice the result with half the effort. Then sort out the notes in math class, get familiar with the problems mentioned in the notes and various law of solving problems, so that you can enter the state of solving problems.
Comprehensive test questions and application questions should not be the focus in the initial review, but should be trained step by step to accumulate problem-solving ideas, which can help improve the understanding and digestion of various knowledge points. Pay attention to problem-solving skills. After each question is finished, you should sum up the knowledge it covers and the type of question it belongs to, so as to draw inferences from one another. I will skip the similar problems in the future. In this way, you can not only skillfully use relevant knowledge points and problem-solving methods, but also save a lot of useless work and a lot of review time, thus greatly improving review efficiency.
2. Don't digress and strange questions. Postgraduate entrance examination is not a math competition, so there will be no such problem, and there is no need to waste time at all. In review, if you encounter problems, you can really improve your ability by solving them independently. However, after all, the review time is limited, so when you are sure that you can't think of the result, you should seek help in time. Be sure to avoid being impulsive and stare at a topic all night. We should make full use of the help of teachers and classmates to understand the topic and do it by ourselves next time. Don't waste too much time
3, usually do the problem to develop careful habits. No matter whether it is a big problem or a small one, we should not take it lightly. Every year, many candidates tend to lose a lot of points in seemingly inconspicuous multiple-choice questions and fill-in-the-blank questions. In fact, multiple-choice questions and fill-in-the-blank questions account for a large proportion in mathematics test papers, and the answers to these questions are often "missing a mile, missing a thousand miles". If you are not careful, you will be wiped out in one step. It can't be said that as long as you do the questions carefully in the examination room, there will be no situation of "doing it but doing it wrong". You should take a serious attitude when doing problems at ordinary times.
4. The review of mathematics real questions should be carried out according to the chapter, that is, to find out a set of classified real questions over the years. In this way, in the process of doing real questions, one year can be used instead of calendar years, that is to say, most of the questions in previous years' exams are similar and repetitive, and it is not necessary to spend too much time on similar questions every year. Moreover, through the study of the real questions over the years, we can be very clear about the key points and difficulties of the exams over the years, so that the summary review in the sprint stage is more targeted and purposeful.
Review well and wish you success.