Mathematics learning method
● Comprehensive review, reading thin books.
It can be seen from the content distribution of examination papers over the years that all the contents mentioned in the examination syllabus may be tested, and even some unimportant contents may appear in the big questions of a certain year. For example, in Mathematics No.1 Middle School in 1998, not only the third question was pure analytic geometry, but also two questions were combined with linear algebra to test the content of analytic geometry. It can be seen that the review method of guessing questions is not reliable, but we should refer to the examination outline, integrate our interests, and leave no omissions.
A comprehensive review is not about memorizing all the knowledge. On the contrary, it is about grasping the essence of the problem and the essential connection between the content and the method, and minimizing the things to be memorized (try to make yourself understand what you have learned, grasp the connection of the problem more, and memorize less knowledge). Besides, it's reliable not to remember. Facts have proved that some memories will never be forgotten, while others can be the basis of memorizing basic knowledge.
● Highlight key points and strive for perfection.
In the requirements of the examination syllabus, there are three levels of requirements for the content: understanding, understanding and knowing; Generally speaking, the content to be understood and the methods to be mastered are the focus of examination. In previous years' exams, the probability of these problems is very high. The same test paper, this score is more. People who "guess the questions" often have to work hard in this respect. Generally speaking, they can really guess a few points. But when they encounter comprehensive questions, these questions contain secondary content in the main content. At this time, "guessing questions" will not work. We should not only work hard on the main contents and methods, but also find the key contents. Cover the whole content with key content. The main content is thoroughly understood, and other contents and methods will be readily solved. In other words, grasping the main content is not to abandon the secondary content and isolate the main content, but to naturally highlight the main content from the comparison by analyzing the relationship between the contents. Such as differential mean value theorem, Rolle theorem, Lagrange theorem, Cauchy theorem, Taylor formula. Because Rolle theorem is a special case of Lagrange theorem, Cauchy theorem and Taylor formula are the generalization of Lagrange theorem. Comparing these relations, we naturally take Lagrange's theorem as the core and have a thorough understanding, and several other theorems are also well grasped from the connection. In the examination syllabus, both Rolle's theorem and Lagrange's theorem are required to be understood and are the focus of examination, and we highlight Lagrange's theorem more, which can be said to be Excellence.
Basic training is repeated.
To learn mathematics, we should do a certain number of problems and practice the basic skills thoroughly, but we do not advocate the tactic of "sea of problems" and advocate simplicity, that is, we should do some typical problems repeatedly, and one problem is changeable. Train abstract thinking ability, prove some basic theorems, deduce basic formulas and practice some basic problems. You don't need to write, just do "blind chess". In other words, we can get the exact answer. This is what we mentioned in the preface. We can complete 10 objective questions in 20 minutes. Some questions can be answered at a glance without writing. This is called well-trained, "practice makes perfect", and people with solid basic skills have many ways to encounter problems and are not easily stumped. On the contrary, when doing exercises, they are always looking for problems. Many candidates misjudge the questions they can do, which is classified as carelessness. Indeed, people will be careless, but people with solid basic skills will find out immediately when they make mistakes, and rarely make "careless" mistakes.
Mathematics review plan for postgraduate entrance examination
Mathematics review, like English, should be the focus at first, and then the focus should be shifted to professional review and political review. However, one or two months before the exam, mathematics can't fall behind. After several months of review, many people think that there is no problem with their math online. You still have to do simulation questions one or two months before the exam, and you should strictly limit the time, so that you can find the weakness of your math knowledge and skills in time and make effective remedial measures to prevent your math level from falling.
Math review monthly plan
In July, I finished browsing four books of college mathematics (Advanced Mathematics, Linear Algebra, Volume I and Volume II of Mathematical Statistics), and I can basically understand mathematical concepts, recite formulas and do examples and topics in textbooks.
After finishing the plan in July in August, you can do some test questions to see if there is any big difference from the postgraduate entrance examination. Do two sets of simulation questions every week for 6 hours, and correct the answers after completion.
In September, I began to do sub-exercises. This month, I focused on advanced mathematics, bought two or three reference books and tried my best to study them thoroughly.
10 this month is mainly linear algebra and mathematical statistics, mainly reading reference books to understand how others do problems.
1 1 this month is mainly to find gaps, fill gaps, get familiar with unfamiliar things again, and really know what you are doing.
12 this month is mainly to do a lot of exercises. Do three sets of simulation questions 9 hours a week and correct the answers after completion. Summarize your own experience in writing questions.
1 month Think about your habit of writing questions and keep your previous good level. Do a set of simulation questions for 3 hours every week, and correct the answers after completion. Keep the level of previous review and don't back down.