What Are the Different Types of Mathematics Degree Requirements?

According to the mathematics subjects of the postgraduate entrance examination, according to the different requirements of different disciplines and majors on the mathematical knowledge and abilities required for master's degree admission, the mathematics test papers for the master's degree entrance examination are divided into three types: among them, the mathematics 1 and mathematics 2 for engineering subjects; For economics and management, Mathematics III (pre-2009 management is Mathematics III, economics is Mathematics IV, and after 2009 the outline will combine Mathematics III and Mathematics IV). There are specific regulations on the types of test papers used by different majors.

Postgraduate Mathematics

According to various disciplines and specialties of engineering, economics, and management

The postgraduate entrance examination questions mainly examine the ability to comprehensively use knowledge, logical reasoning ability, spatial imagination ability, and ability to analyze and solve practical problems, including calculation questions, proof questions, and application questions. They are relatively comprehensive, but some questions are also used in elementary The answer can be answered. Teacher Li of the Mathematics Teaching and Research Office of Cross-Examination Education said that the solution to the problem is flexible and diverse, and the answer is sometimes not unique. This requires students not only to do the problem, but also to understand the probation intention of the proposition person and choose the most suitable method. answer.

Bachelor's degree of postgraduate entrance examination, thoroughly study textbooks, master the outline

Combining undergraduate textbooks with the outline of the previous year, thoroughly understand the basic concepts, basic methods and basic theorems. Mathematics is a highly logical deductive science. Only by understanding the basic concepts and remembering the basic theorems and formulas firmly can we find breakthroughs and entry points for solving problems. The analysis of mathematics answer papers in recent years shows that an important reason for candidates to lose points is incomplete and incomplete remembering of basic concepts and theorems, inaccurate understanding, and poor grasp of basic problem solving methods.

The review of the initial postgraduate entrance examination should comprehensively solidify the foundation and focus on making up the weak links. Mathematics review for the postgraduate entrance examination has basic and long-term characteristics. The initial review of the postgraduate entrance examination should be ranked first.

This is the review of the basics of mathematics. Reading, doing problems, and thinking are indispensable. Reading is the premise and the foundation, and reading the book is the only way to do the right thing. Questions are key and purpose. Only if you can do the right questions, do the right questions, and do the questions quickly can you cope with the exam and achieve the purpose. Thinking is for reading and doing questions more effectively.

Different postgraduate mathematics answers, different strategies

Coping strategies for solving calculation questions: The examination questions of calculation questions focus not on the amount of calculation and the complexity of calculations, but focus on ideas and methods, such as reintegration, calculation of curve and surface integrals, sum of series, etc. The accuracy rate is more important to systematically summarize the ideas and techniques for solving various calculation problems in order to choose the simplest and most effective solution ideas to meet the problems and get the correct results quickly. There is more than a month before the exam. It is expensive to do sprints before the exam. It is most effective to choose simulation questions that meet the outline requirements and are suitable for the difficulty.

Answers to the proof of the answer strategy: First, sensitive to the conditions given by the question. On the basis of familiarity with the basic theorems, formulas, and conclusions, the starting point and thinking of the proof are initially determined based on the subject conditions; second, it is good at discovering the relationship between the conclusions and the subject conditions. For example, the differential median theorem is used to prove the equation or inequality, and the auxiliary function can be determined from the conclusion, so as to solve the key problem of the proof.

The application strategy of the solution: focus on the ability to analyze and solve the problem. First, proceed from the problem conditions to clarify the goal of the problem; second, establish the relationship between the conditions given by the problem and the goal to be solved, and integrate this relationship into the mathematical model (for graphic problems, pay special attention to the origin and Coordinate system selection), which is also the most important part of solving the problem; third, according to the type of mathematical model established in the second step, to find the corresponding method, the problem can be solved easily.

Postgraduate entrance examination sprint, correct mentality, greet postgraduate entrance examinations efficiently and with high quality

The review of the postgraduate entrance examination lasts so long, especially in the final stage of the postgraduate entrance examination, there will always be depression and feeling tired. It is getting closer and closer to the exam. Some students are not very satisfied with the simulation problems. They have less and less confidence in mathematics.

In the final sprint stage, the candidates can feel the actual combat skills by doing high-quality simulation questions, and find a better feeling of exam. Once you find this feeling, you can stabilize your emotions and greet the exam with confidence. However, there are many types and numbers of simulation questions. After all, they are different from the real questions. Therefore, Mr. Li from the Mathematics Teaching and Research Office of Cross-Examination Education reminds candidates to have a rational attitude towards each set of simulation questions. Achieving a high score should have a different mentality for different difficulty sets of questions. On the one hand, most of the questions cannot be ignored and the fear is not caused by individual problems. A set of test questions must consist of most of the basic questions and individual problems. We must ensure that the basic questions are kept steady (do not avoid elementary errors), complete all the test questions effectively, and try to win the problems. With such a mentality of gains and losses, we can better stabilize our emotions.

The final sprint of the postgraduate entrance examination mathematics to avoid misunderstandings

The foundation is not a solid problem: most of the mathematics for postgraduate entrance examination are medium and easy problems, and the difficult problems are only about 20%, and the problems are just a further synthesis of simple problems. If you are stuck on a problem, It must be because there is not enough understanding of a certain knowledge point, or the thinking of a simple problem is vague. Ignoring the basics causes candidates to lose a lot of points on many simple questions. It is not cost-effective to give up a relatively certain 70% for an uncertain 30%. Therefore, we must proceed from the actual situation, lay the foundation, and understand deeply, so that even if some difficult problems are encountered, it will be resolved smoothly. This is the fundamental solution.

Pure imitation, not understanding: this is a manifestation of speculative psychology. Learning is a very difficult job. Many students are one-sided pursuit of other people's ready-made methods and techniques. They do not know that the methods and skills are based on their in-depth understanding of basic concepts and basic knowledge. Each method and technique has it. Specific scope of application and prerequisites. Simple imitation is absolutely not feasible, which requires us to give up speculative psychology and understand the ins and outs of each method thoroughly in order to really help ourselves to do the problem.

Understanding the problem is equivalent to doing it: Mathematics is a rigorous discipline that cannot be missed. Before we have established a complete knowledge structure, it will be difficult to grasp the key points in the review and ignore the subtleties. Office. Moreover, through hands-on exercises, we can also standardize the answering mode and improve the proficiency of problem-solving and computing. To know the amount of questions as large as three hours, is an examination of computing ability and proficiency in itself, and the scoring is step by step Give points, how to answer is effective, these must be experienced through their own constant exploration.

In the final stage, ignoring the review of mathematics: In the final stage, many previous candidates took a lot of time and energy to review mathematics in the early stage of the review, and the results were also very good. I warmed up math a few days before the test and found that it was very strange. I forgot a lot of things and felt bad doing the questions. In order to avoid such situations, Teacher Li of the Mathematics Teaching and Research Section of Cross-Examination Education reminds students that they should ensure that they review mathematics for at least one hour every day, without interruption or even abandonment. In addition, the problem-solving training at this stage must not be performed in isolation, and must be combined with a systematic review of the knowledge system. We should combine the weaknesses reflected in the problem, re-sort the mathematical theoretical framework in a targeted manner, and at the same time carefully summarize and summarize some of the problem-solving methods and techniques for specific problem types. We must pay attention to thinking, summing up, and summarizing.

exam subjects

exam subjects

Advanced Mathematics, Linear Algebra

Formal structure

1. Full score and test time

The test score is 150 points and the test time is 180 minutes.

2. Answering methods

The answer method is closed book and written test.

3. Test paper content structure

Higher mathematics 78%

Linear Algebra 22%

4. Question paper structure

The test question structure is:

Single-choice multiple-choice 8 mini-questions, 4 points each, total 32 points

Fill in the blank 6 questions, 4 points each, 24 points in total

Answer questions (including proof questions) 9 small questions with a total of 94 points

advanced mathematics

Function, limit, continuous

Examination content: the concept of functions and the representation of functions. Boundedness, monotonicity, periodicity and parity of composite functions, inverse functions, piecewise functions and implicit functions. Properties of basic elementary functions and the establishment of a series of graphical elementary functions. Definitions of limits and function limits and their properties The left and right limits of functions The concepts of infinitesimal and infinitesimal quantities and their relations The properties of infinitesimal quantities and the comparison limits of infinitesimals There are two criteria for the existence of four operational limits: monotonic bounded criteria And pinch criteria are two important limits:

The concept of function continuity. Types of function break points. Continuity of elementary functions. Properties of continuous functions on closed intervals

Examination requirements

1. Understand the concept of functions, master the representation of functions, and establish functional relationships for application problems.

2. Understand the boundedness, monotonicity, periodicity, and parity of functions.

3. Understand the concepts of compound and piecewise functions Understand the concepts of inverse and implicit functions

4. Grasp the nature and graphics of basic elementary functions, and understand the concepts of elementary functions.

5. Understand the concept of limit, the concept of the left and right limits of the function, and the relationship between the existence of the function limit and the left and right limits.

6. Master the nature of the limit and the four algorithms

7. Master the two criteria for the existence of limits, and use them to find the limits, and master the methods of using the two important limits to find the limits.

8. Understand the concepts of infinitesimals and infinitesimals, master the method of comparison of infinitesimals, and use the equivalent infinitesimals to find the limit.

9. Understand the concept of function continuity (including left continuity and right continuity), and discriminate the type of function breakpoint.

10. Understand the properties of continuous functions and the continuity of elementary function one, understand the properties of continuous functions on closed intervals (boundedness, maximum and minimum theorems, median theorems), and apply these properties.

Unary function differential

Examination requirements

1. Understand the concepts of derivatives and differentials, understand the relationship between derivatives and differentials, and understand the relationship between the derivability and continuity of functions.

2. Master the four algorithms of derivatives and the derivation of composite functions, and the derivative formulas of basic elementary functions. Understanding the invariance of the four rules of differentiation and the invariance of the first-order differential form, you will find the differentiation of functions.

3. Understand the concept of higher-order derivatives. You will find higher-order derivatives of simple functions.

4. Will find the derivative of piecewise function, the derivative of implicit function, function determined by parametric equation, and inverse function.

5. Understand and use Rolle's theorem, Lagrange's median theorem and Taylor's theorem, and understand and use Cauchy's median theorem.

6. Master the method of finding the limit of the indefinite form using Lopita's law.

7. Understand the concept of extreme values of functions, master the monotonicity of functions with derivatives and methods of finding extreme values of functions, master the methods of finding the maximum and minimum values of functions, and their applications.

8. Derivatives will be used to judge the unevenness of the function graph (Note: In the interval (a, b), let the function f (x) have second derivative. When & amp; gt; 0, the graph of f (x) is concave When & amp; lt; 0, the graph of f (x) is convex), it will find the inflection point of the function graph and the horizontal, vertical, and oblique asymptote, and will draw the graph of the function.

9. Understand the concepts of curvature, curvature circle, and radius of curvature. Curvature and radius of curvature are calculated.

Unary function integral

Examination content: the concept of original functions and indefinite integrals

exam subjects

Calculus, Linear Algebra, Probability and Mathematical Statistics

Formal structure

1. Full score and test time

The score is 150 points and the test time is 180 minutes.

2. Answering methods

The answer method is closed book and written test.

3. Test paper content structure

Calculus 56%

Linear Algebra 22%

Probability and Statistics 22%

4. Question paper structure

The test question structure is:

Single-choice multiple-choice 8 mini-questions, 4 points each, total 32 points

Fill in the blank 6 questions, 4 points each, 24 points in total

Answer questions (including proof questions) 9 small questions with a total of 94 points

Scientific and fair principles

As a public basic course, the postgraduate entrance examination math questions are mainly basic and life-oriented, and try to avoid too professional and abstract and difficult to understand for the majority of candidates.

Covering comprehensive principles

The content requirements of the postgraduate mathematics examination questions cover all the assessment requirements of the syllabus, especially covering the differences between numbers (1), (2), (3), and (4).

Controlling the difficulty

The post-graduate mathematics test requires middle-level upper-level questions. The passing rate of the test is controlled at 30-40%, and the average score (out of 150 points) is controlled at about 75 points.

Principle of controlling the amount of questions

The number of entrance examination mathematics test questions is controlled between 20-22 (usually 6 blank questions, 6 multiple choice questions, 10 large questions), to ensure that candidates can basically complete the test questions and have time to check.

The structure of the mathematics test paper is a total of 20 questions. Fill in the blanks with 5, select 5, and 10 large comprehensive questions, of which 6 are high numbers, and 2 are linear algebra and probability theory.

Postgraduate Mathematics Phase I

At the beginning of the review, it is necessary to read through the math textbook first, mainly to understand and remember some important concepts, formulas, and of course, if possible, do some simple exercises, the effect is obviously better. These after-school exercises are helpful to summarize some related problem-solving skills, and also help to recall and consolidate the knowledge points.

Postgraduate Mathematics Phase II

Good at summing up and thinking a lot. Summarization is a good review method, and it is a method to raise the level of knowledge mastery. When reviewing each knowledge point individually, you must contact the summary to establish a complete knowledge architecture of postgraduate mathematics. For example, when reviewing the knowledge point of integrals, it is necessary to be able to establish the relationship between unary integrals, double integrals, and multiple integrals, so as to understand deeply and master each knowledge point. In addition, the problems encountered in the basic stage, the wrong topics, reorganize again, summarize their weaknesses, and correctly solve the remaining problems one by one through intensive training. There are more than 20 questions in the postgraduate entrance examination mathematics, and there are also several types of each topic, and they do not change much each year. As long as we are diligent in summing up, the postgraduate entrance examination mathematics is only so.

A successful review of "two books" is essential. It is recommended that students start to prepare two notebooks for themselves from the beginning of the review. One is used to sort out the knowledge points that they have encountered during the review, and to put some concepts, formulas, and theorems that are prone to errors and confusion. The content is recorded in a notebook, and it is regularly taken out to look at it. It will definitely leave a very deep impression and avoid forgetting mistakes. Another book is used to sort out wrong questions. Students will encounter many different types of questions during the review process. Do nt let go of standard answers to questions you ve never done and done wrong. You should organize them in a timely manner. After the correct answer process, simply mark the reasons for your mistakes and do not do them. The crux of the problem, when you look back in the future, it will definitely help a lot, this is also the key link to gradually and steadily improve the problem-solving ability.

Postgraduate Mathematics Phase III

Of course, at each stage, you can't do less. You can see more postgraduate exam questions, train more trainees, and be familiar with the way the postgraduate exams come out. One of the important characteristics of mathematics examination questions is that it is comprehensive and covers a wide range of knowledge. Some slightly difficult questions are generally more flexible and require more knowledge points in series. Only through step-by-step training, you can continuously accumulate experience in solving problems. Only then is there a chance to find a breakthrough faster. It is recommended that candidates in 2013 usually have targeted training. This will also help to further understand and thoroughly clarify the vertical and horizontal connections of knowledge points, and transform them into what they really grasp. They can use them flexibly based on understanding. comprehend by analogy.

Finally, combined with the examination questions of the past two years, I realized the types and difficulty characteristics of the mathematics examination questions in this specialty.