Postgraduate mathematics preparations have now entered the first round of review. At this stage, candidates must perform the comprehensive organizational concept, theorem, formula, preliminary summary of review, and grasp the basic topic of propositions, and lay a solid foundation for the retrieval of the reunion. Since the mathematical outline is generally different, although the 2003 exam outline has not been introduced, it can be initially reviewed in conjunction with outlines and test questions in recent years. Below is a more important knowledge point for higher mathematics, linear algebra, probability theory and mathematical statistics. Advanced mathematics is the top priority of postgraduate mathematics, and it is much more score, and it is necessary to review the contents. It mainly includes 8 aspects. 1. Function, limit and continuous. Mainly examine the segmentation function limit or known limit to determine the constant in the original; discuss the continuity of function continuity and judgment interpretation; the comparison of infinite small order; discuss the number of continuous functions at a given interval number or determination equation at a given There is no real root in the interval. 2. One dollar function micrology. Mainly examine the derivative and differential solution; hidden function for guidance; segmentation function and absolute value function can be pronged; Robenda law is not particularly limited; function extreme value; the root of equation; proves function inequality; Roerore, pull Gram-day median theorem, Coi Middle-value theorem and Taylor Middle-value theorem and the construction of the auxiliary function; the maximum value, the minimum is actually applied in terms of physical, economic, etc.; uses the derivative to study functionality and depicting function graphics, seeking curve is getting close line. 3. One-dollar function score. It is mainly calculated that the calculation of integral, fixed integral and general integral integration; the point of view of integral points, the limit, etc. of integralization, the integral intermediate value, the proven question; the application of fixed integration, such as calculating the area of rotation, rotating body volume, change Force work, etc. 4. Parallel the geometry of the quantity and space. The main test of the number of vector, vector accumulation mixing; the line equation and the planar equation; the relationship between plane and straight line and the determination of the angle; the rotating surface equation. 5. Multivariate function micrology. Mainly examine the existence, micro, continuous judgment; the first-order, second-order deflection of the hidden function; the directional derivative of the binary and ternary function; the cutting plane and normal of the surface and space curve; Multi-functional extreme or conditional extreme in geometric, physical and economic applications; binary continuous functions on the largest and minimum of the bounded plane area. 6. Plumbers of multi-function. This part is the content of mathematics, including the calculation of the second and triple points in various coordinates, accumulate points exchange; first curve and curved area calculation; second type (pair coordinate) Current calculation, Green formula, Stokes formula; second type (pair coordinate) curved area calculation, Gaussian formula; gradient, scattering, synthetic calculation of scale, scattering, and line area score application; for area, volume, weight, gravity, gravity, Change force work, etc. 7. Infinite grade. The convergence, divergence, absolute convergence and conditions of the grade; the convergence radius and convergence domain of the power series; the power series and the function or several levels of the number; the function is expanded to the power level (including writing convergence Domain) or Fourier fraction; determined by the Fourier grade to a certain sum (usually used to use Dirikrel theorem). 8. Differential equations, mainly examine the pilot or special description of first-order differential equations; degraded equations; linear common coefficients and non - quadratic equations; the establishment and solving of differential equations. In addition to the focus of the above segments, there are cross-section and even interdisoted comprehensive test questions. In recent years, there is a comprehensive question of level and integration; a comprehensive question of calculus and differential equations; a comprehensive question of seeking limit; Space Analysis Geometry and Multivariate Differential Comprehensive Title; linear algebra and space analysis of geometric syndrome.
The important concept of linear algebra includes the following: algebraic, accompanying matrices, inverge matrix, primary transformation and primary matrix, orthogonal transform and orthogonal matrix, rank (matrix, vector set, secondary), equivalent (matrix, Vector set), linear combination and linear formation, linear correlation and linear independence, great linear independence group, basic solution and pilot, solution structure and solution space, characteristic value and feature vector, similar to similar angle, two Subtype Standard Shape and Specification, Positive, Contract Transformation and Contract Matrix. The content of the linear algebra is translatted, the ring ring is buckled, and the knowledge points are deeply penetrated, so it is not only a number of inwarded angles, but also the solution method is flexible. It is necessary to practice a lot of practice under the premise of consolidating the basis. Probability Theory and Mathematical Statistics are some difficulties in postgraduate mathematics. In recent years, this part of the test rate is generally low. Unlike the calculus and linear algebra, probability theory and mathematical statistics do not emphasize solution methods, and rarely involve solving skills, and very emphasized in-depth understanding of basic concepts, theorem, and formulas. Its basic knowledge points are as follows: 1. Random events and probability, including sample space and random events; probability definitions and properties (including classical profile, geometric, addition formula); Condition probability and probability multiplication formula; Relationship and calculation (including the independence of the event); full formula and Bayesian formula; Bernoulli. 2. Random variables and their probability distribution, including the concept and classification of random variables; distribution of discrete random variables and their nature; continuous random variable probability density and its nature; random variable distribution function and its nature; common distribution; random variable Distribution of functions. 3. Two-dimensional random variables and their probability distribution, including concept and classification of multi-dimensional random variables; distribution of two-dimensional discrete random variables; nature; two-dimensional continuous random variable joint probability density and its nature; two-dimensional random variable Joint distribution function and its nature; two-dimensional random variable edge distribution and conditional distribution; independence of random variables; distribution of simple functions of two random variables. 4. Number characteristics of random variables, the concept and nature of the number of random variables; the concept and nature of the variables of the random variables; the common distribution of digital expectations and variance; random variable torque, covariance and correlation coefficient. 5. Large laws and central extreme limitations, as well as the inequality. 6. Mathematical statistics basic concepts, including overall and samples; sample functions and statistics; sample distribution functions and sample moments. 7. Parameter estimation, including point estimation; excellent estimate; interval estimation. 8. Assumption test, including the basic concepts of assumption, the all-state general and the allocation of the total all-in-the-state, and the assumption test. Candidates should pay attention to the following three points in the first round of mathematics review: First, combine undergraduate textbooks and the previous year, first eating basic concepts, basic methods and basic theorems. Mathematics is a highly logical interpretation of science, only in depth of basic concepts, remember the basic theorem and formulas, in order to find the breakthrough and entrance point of the problem. The analysis of the mathematical answer sheet in recent years shows that an important reason for the loss of candidates is the basic concept, theorem is incomplete, notified, understanding is not accurate, the basic solution method is not good. Second, we must practice a lot of exercises, fully utilize the test questions in the past years, pay attention to summarize the summary of the spiritual ideas, routines and experience. Mathematics exams don't need to recite, do not freely play, all tasks are solving the problem, and basic concepts, formulas, conclusions, etc. will only be truly understood and consolidated in repeated exercises. Special emphasis on analyzing research topics and solving ideas when doing questions.
The mathematics test is a thousand variables. The knowledge structure is basically the same, and the subject is relatively fixed. There is often a clear solution routine. After skilled, it can improve the correct rate and improve the problem of solving the problem. Third, we must initially perform comprehensive test questions and application training. Mathematics exams have some comprehensive test questions and application test questions applied to multiple knowledge points. This type of test is generally flexible and difficult. During the first round of mathematics, they may not be used as strengthening, but they should be gradually trained, accumulating the problem of the problem, and this is also conducive to the digestion of the knowledge, thoroughly understand the portrait and horizontal direction of knowledge. Contact, convert to something that truly master. *********************************************************** *********** Chen Wen lights, Huang Xian joked the final stage of postgraduate mathematics ---------------------------------------------------------------------------------------------------------------------------------------------------- -------------------------------------------------- Http://www.kao100.com On December 26, 2002, after the basic stage and summer strengthening training, the review of mathematics of postgraduate school has now entered the final sprint stage, how to make full use of this paragraph before the exam Time to review, it should be said that every candidate is critical. According to the reflection of the previous candidates and the counseling experience in our calendar, the candidates will remind their candidates to pay attention to the following: 1. Reasonably arrange the review time reasonably. In the final sprint phase, the review of each department entered a critical moment. Be sure to pay attention to the review time of each department, avoid reviewing the same course for many days, at least for mathematics, if you don't do your questions, it is hard to do it. Just enter the questionnaire. Therefore, no matter how good your mathematics has been reviewed, you should still stick to the review of mathematics every day (or at least two days), and the length of time can be determined according to the situation you have reviewed. 2. Strong, practice, and consolidate the foundation, check the gap. From the recent exam questions, the coverage of the test questions is very wide, almost all chapters have been involved, but the review of the current stage re-repetizes the content that has been repeated once again, not only very monotonous, but it is difficult to find I have mastered the deficiencies of knowledge, and I will check the renewal of the problem through the right amount of testimony. Practice has proved to be effective. The choice of exercises should not be greedy. It is recommended to do a few years (not suitable) to study the topic, so that the status of the actual examinations can be fully systematically understood. On the basis of review in the pre-stage system (many questions or more or less, I have been done), I believe that I will feel smooth when I don't have the world, so I can help myself build confidence; secondly, you can choose an appropriate simulation. Do one, take a look, think I want to think (the simulation test should be able to realistically reflect the various knowledge points that may be examined, and the possible internal contacts between the various knowledge points, don't pursue difficult, blame, The problem, this is not to simulate the effect of the simulation training, it will seriously dampen your self-confidence). There are many simulation questions on the market. "Wendeng Mathematics Full Simulation Test Paper" (World Book Publishing Company) The summary of the four mathematics teachers of Wendeng School has been prepared, divided into two books of the latest outline, and the twenty-four sets of test volumes in each volume are not repeated, but also the topic, difficult to be suitable. The system reflects the various contents of the outline requirements. It is recommended that everyone will choose after completing the world; in the last week, I suggest that everyone is a free simulation forecast question in Wendeng School. You can download free on Wendeng School (WWW. Wendeng.com.cn). 3. Incident summary, overall grasp, form a system.