GRE sub-mathematics

1。 Basic requirements for candidates' ability and level

Since you have chosen Mathematics Sub, you should have a good mathematical foundation. For engineering students, if their mathematics literacy is average or poor, it is necessary to seriously consider whether they must take the exam; For students with math background, it won't be too bad. How much mathematical knowledge is one thing, and the basic "feeling" of mathematics is another. If you are still interested in mathematics or "feel" ok, it will be easier to learn those unfamiliar exam contents. On the other hand, most of the students who take this exam are in the department of mathematics. If they want to go abroad, there should be no problem. :)

For engineering students, math class should be better than me, maybe I don't have to talk nonsense.

2。 The scope and characteristics of the examination

Please go to http://www.gre.org/subdesc.html#math to see the scope of the minor in mathematics.

The scope of this exam is really big enough for us. The biggest difference between special mathematics and postgraduate mathematics (engineering) is its wide coverage, but the topics related to a certain direction are at most moderately difficult in this direction. Therefore, if you do a good job in the postgraduate entrance examination paper, you will feel that the topics of calculus and linear algebra in mathematics are mentally retarded, and other topics are hard to say. I think we must do a good job in several aspects: basic mathematics knowledge and skills (all involved in middle schools), calculus (advanced mathematics in engineering), linear algebra and abstract algebra. There are several points to explain: first, calculus itself only needs advanced mathematics, but there is a "preliminary analysis of reality" in the examination scope. This part of the content is basically in the "Mathematical Analysis" textbook of the department of mathematics, and the "Mathematical Analysis" of engineering will also involve a large part of these concepts, but it seems that the depth is slightly insufficient. However, this part is certainly not comparable to the content and difficulty of Theory of Functions of Real Variables, and there is no need to study the potential and measure of sets. Second, the linear algebra part also needs to ensure the content of "Euclidean space and linear transformation", because this part embodies the basic ideas and theoretical framework of algebra, while the previous linear equations and determinants focus on calculation. Third, the abstract algebra part is dominated by "groups", and it is familiar with the basic concepts and characteristics of "rings". Others are relatively minor, so it is not a big problem to ignore them. It would be great if you could find a book devoted to "groups", but it is not necessary. For example, I learned a lot by looking up the encyclopedia. Fourth, pay attention to the foundation. Basic calculation and analysis skills must be guaranteed, otherwise even some basic questions may lose points. I haven't been exposed to mathematics for about two or three years before taking the math sub-exam, so my computing ability has not been improved for a long time and I often make mistakes. If it was the college entrance examination, it would have been over long ago: P

3。 Prepare information

Please go to ftp://ftp.ets.org/pub/gre/Math.pdf to download the sample problem provided by ETS, which seems to be the real math sub-problem in the second half of 1997. In addition, there are 1993 real questions and math sub-reference materials (a set of ***6 sets of simulation questions) published by the Research Education Association (REA), which are available in New Oriental, but it seems that they were not sold publicly because of copyright issues, and I got them through relationships. It has been proved that these questions can basically cover the examination content, and the difficulty is higher than the real questions. I think doing these sets of questions well is the key to ensure the quality of review, and then ensure better grades. Of course, if what you are after is 95%- 100%, then I don't have to talk nonsense-I certainly don't have that ability.

4。 Review process

For reference only. First, review advanced mathematics, linear algebra and learn abstract algebra. This process needs more time, try to understand these parts at once. Then take 97 real questions to simulate, except for some questions involving unfamiliar directions (such as topology or complex variable function), the overall feeling should be relatively easy, as long as they are learned, they should be basically guaranteed to be correct. Then start the 93 real question, which should be more difficult. Next, I will seriously study the unfamiliar contents in 97 and 93 and understand these topics. Then I started to do REA exercises, and I understood it carefully as soon as I finished one set. The difficulty of the six sets of questions varies greatly. The difficulty of 1-3 sets gradually increased, then the difficulty of sets 4 and 5 suddenly decreased (5 is the easiest), and the difficulty of set 6 returned to around 1. This process may be uncomfortable, but it doesn't matter. Read the answers in the back carefully, and then check the corresponding books. I think this is the fastest growing process of my test-taking ability, and I really know a lot. If you can get no more than 10 in the last set, it means that the level is quite good, and those who don't get more than 15 can take the exam with confidence. Please note that many answers to these questions are wrong. If you have any questions, we can discuss them later:)

5。 Attention to examination room

There is no need to be nervous about the exam. Basically, it will be yes or no, unlike the GRE exam, which needs to be adjusted to a good level. Pay attention to the first 10 question when doing the problem, and be calm. /kloc-Don't be too cautious about questions 0/0 to 40, keep the normal speed or save time quickly, because there will be more questions later. Don't get too entangled in the last few problems for the first time. You can do it later. At that time, I was too careful about many problems in front, which led to insufficient time in the back. Finally, I left six questions blank, but there shouldn't be too many other mistakes.

Come on, friend!