What subjects does the economics postgraduate entrance examination take? How many exams are there altogether? What is the difference between Math Paper 1 and Math Paper 2 and Math Paper 3? What's the total score In postgraduate mathematics, numbers refer to different examination ranges. The number one is the largest, almost all of it. The number two does not test probability theory, and the number three is economics. The outline is as follows: calculus 1. The concept and expression of function, limit and continuous examination of content function, boundedness, monotonicity, periodicity and parity compound function, inverse function, piecewise function and implicit function, and the establishment of functional relationship of graphic elementary function; The definitions and properties of sequence limit and function limit: the concepts of left limit, right limit and infinitesimal quantity of function and their relations; The nature of infinitesimal and the comparative limit of infinitesimal: two criteria for the existence of operational limit; Monotone bounded criterion and pinching criterion; Two important limits: the concept of functional continuity; Types of discontinuity points of elementary functions; Continuity of closed interval; And ... 1 is required for the property test of continuous functions. Understanding the concept of function and mastering the expression of function will establish the functional relationship of application problems. 2. Understand the boundedness, monotonicity, periodicity and parity of functions. 3. Understand the concepts of compound function and piecewise function, and the concepts of inverse function and implicit function. 4. Grasp the nature and graphics of basic elementary functions and understand the concept of elementary functions. 5. Understand the concepts of sequence limit and function limit (including left limit and right limit). 6. Understand the nature of limit and two criteria for the existence of limit, master four algorithms of limit, and master the method of finding limit by using two important limits. 7. Understand the concept and basic properties of infinitesimal. Master the comparison method of infinitesimal. Understand the concept of infinitesimal and its relationship with infinitesimal. 8. Understanding the concept of function continuity (including left continuity and right continuity) will distinguish the types of function discontinuity points. 9. Understand the properties of continuous function and continuity of elementary function, and understand the properties of continuous function on closed interval (boundedness, maximum theorem, mean value theorem). And these properties will be applied. Second, the relationship between the geometric meaning of the concept derivative and differential in the examination content of differential calculus of univariate function and the derivability and continuity of the function of economic and economic significance, the four differential operations of the compound function of tangent derivative and normal derivative of plane curve and the derivative of basic elementary function, the differential method of inverse function and the implicit function invariant differential mean value theorem of first-order differential form L'Hospital law function monotonicity determines the maximum and minimum values of extreme value function graph 1. Understand the concept of derivative and the relationship between derivability and continuity, understand the geometric and economic significance of derivative (including the concepts of allowance and elasticity), and you will find the tangent equation and normal equation of plane curve. 2. Master the derivative formula of basic elementary function, four algorithms of derivative and the derivative rule of compound function, and you will find the derivative of piecewise function, inverse function and implicit function. 3. Understand the concept of higher-order derivative, know the concept of differential, the relationship between derivative and differential, and the invariance of the first-order differential form, and you can find the differential of the function. 5. Understand Rolle theorem, Lagrange mean value theorem, Taylor theorem and Cauchy mean value theorem, and master the simple application of these four theorems. 6. Know how to use Robida's law to find the limit. 7. Know how to judge the monotonicity of a function, understand the concept of extreme value of a function, and know how to find the extreme value, maximum value, minimum value of a function and its application. 8. Know how to judge the concavity and convexity of the function graph by derivative (note: in an interval, let it have the second derivative. At that time, the figure was concave; At that time, the graph was convex), and the inflection point and asymptote of the function graph will be found. 9. Can describe simple function graphics. 3. The concept of original function and indefinite integral, the basic properties of definite integral formula, the mean value theorem of definite integral and the upper limit of its derivative, Newton-Leibniz formula, the substitution integration method of indefinite integral and definite integral and the application of partial integral, abnormal (generalized) integral definite integral examination requirements 1. Understand the concepts of original function and indefinite integral, master the basic properties and basic integral formula of indefinite integral, and master the substitution integral method and integration by parts of indefinite integral. 2. Understand the concept and basic properties of definite integral, understand the mean value theorem of definite integral, understand the function of upper limit of integral and find its derivative, and master Newton-Leibniz formula, substitution integral method and partial integral of definite integral. 3. Use definite integral to calculate the area of plane figure, the volume of rotating body and the average value of function. Will use definite integral to solve simple economic application problems. 4. Understand the concept of generalized integral, and generalized integral can be calculated. Fourth, the content of multivariate function calculus test, the geometric meaning of multivariate function, the limit and continuity of binary function, the properties of binary continuous function in bounded closed region, the concepts of partial derivative and implicit derivative of multivariate function, the concept of double integral of extreme value and conditional extreme value, the maximum and minimum value of second-order partial derivative fully differential multivariate function, the basic properties and calculation of simple abnormal double integral in unbounded region. Examination requirements 1. Understand the concept of multivariate function and the geometric meaning of bivariate function. 2. Understand the concepts of limit and connection of binary function and the properties of binary continuous function in bounded closed region. 3. Understand the concepts of partial derivatives and total differential of multivariate functions, and you will find the existence theorems of first and second partial derivatives, total differential and implicit functions of multivariate composite functions. I will find the partial derivative of multivariate implicit function. 4. Understand the concepts of extreme value and conditional extreme value of multivariate function, master the necessary conditions for extreme value of multivariate function, understand the sufficient conditions for extreme value of binary function, find the extreme value of binary function, find the conditional extreme value by Lagrange multiplier method, find the maximum value and minimum value of simple multivariate function, and solve some simple application problems. 5. Understand the concept and basic properties of double integral. Master the calculation method of double integral (rectangular coordinate, polar coordinate), understand the simple abnormal double integral on unbounded region and calculate it. 5. Concept of Convergence and Divergence of Constant Term Series in Infinite Series Examination Contents Basic properties and necessary conditions of conceptual series convergence of the sum of convergent series, methods for judging the convergence of geometric series and P series and their convergence of positive term series, absolute convergence and conditional convergence of arbitrary term series, staggered series and Leibniz theorem power series and their convergence radius, and basic properties of sum function of power series in convergence interval (open interval) and convergence region. The solution of simple power series sum function needs 1. Understand the concepts of convergence and divergence of series and sum of convergent series. 2. Master the basic properties of series, the necessary conditions of convergence and divergence of series, the conditions of convergence and divergence of geometric series and P series, the comparison of convergence and divergence of positive series and the ratio method. 3. Understand the concepts of absolute convergence and conditional convergence of arbitrary series and the relationship between absolute convergence and convergence, and understand Leibniz discriminant method of staggered series. 4. Know the convergence radius, convergence interval and convergence domain of power series. 5. Know the basic properties of power series in its convergence interval (continuity of sum function, item-by-item derivation, item-by-item integration), and know the sum function of simple power series in its convergence interval. 6. Get to know maclaurin. VI. Examination Contents of Ordinary Differential Equations and Difference Equations Basic concept variables of ordinary differential equations Differential equations with separable variables Properties and structure theorems of solutions of first-order linear differential equations General solutions and special solutions of concept differential equations of second-order homogeneous linear differential equations with constant coefficients Simple application examination requirements of first-order linear differential equations and difference equations 1. Differential equation and its concepts such as order, solution, general solution, initial condition and special solution. 2. Master the solution methods of differential equations, homogeneous differential equations and first-order linear differential equations with separable variables. 3. Know the second-order homogeneous linear differential equation with constant coefficients. 4. Understand the properties of solutions of linear differential equations and the structure theorem of solutions. Understand the second-order non-homogeneous linear differential equation with constant coefficients, in which the free term is polynomial, exponential function, sine function, cosine function and their sum and product. 5. Understand the concepts of difference and difference equation and their general and special solutions. 6. Understand the solution method of the first-order linear difference equation with constant coefficients. 7. Solve simple economic application problems with differential equations and difference equations. Linear Algebra I. Determinant Exam Content The concept and basic nature of determinant are rows (columns). 2. Will apply the properties of determinant and determinant to calculate determinant according to row (column) theorem. Second, the matrix test content matrix concept matrix linear operation matrix multiplication matrix power square matrix product transposed inverse matrix concept and property matrix invertible necessary and sufficient conditions adjoint matrix elementary transformation elementary matrix rank matrix equivalent block matrix and its operation test requirements 1. Understand the concept of matrix, and understand the definitions and properties of identity matrix, quantitative matrix, diagonal matrix and triangular matrix. 2. Master the linear operation, multiplication, transposition and its operation rules of matrix, and understand the determinant properties of square matrix power and square matrix product. 3. Understand the concept of inverse matrix, grasp the properties of matrix and the necessary and sufficient conditions of matrix reversibility, understand the concept of adjoint matrix, and use adjoint matrix to find the inverse matrix. 4. Understand the concepts of elementary transformation of matrix and elementary matrix and matrix equivalence, understand the concept of matrix rank, and master the method of finding the inverse matrix and rank of matrix by elementary transformation. 5. Understand the concept of block matrix and master the algorithm of block matrix. Thirdly, the linear combination of the concept vectors of the vector test content and the linear correlation of the linear representation vector group are equivalent to the maximum linearly independent group of the linearly independent vector group. The orthogonal normalization method of inner product linear independent vector group between rank of rank vector group and rank of matrix needs 1. Understand the concept of vector and master the operation of vector addition and multiplication. 2. Understand the concepts of linear combination and linear representation of vectors, linear correlation and linear independence of vector groups, and master the related properties and discrimination methods of linear correlation and linear independence of vector groups. 3. Understand the concept of maximal linearly independent group of vector group, and find the maximal linearly independent group and rank of vector group. 4. Understand the concept of vector group equivalence and the relationship between the rank of matrix and the rank of its row (column) vector group. 5. Understand the concept of inner product and master the Schmidt method of orthogonal normalization of linear independent vector groups. Fourth, the investigation content of linear equations The Clem rule of linear equations determines whether there is a solution to linear equations; The basic solution system of homogeneous linear equations and the relationship between the solutions of nonhomogeneous linear equations and the corresponding homogeneous linear equations (derivative group); Examination requirements for general solution of nonhomogeneous linear equations 1. Linear equations will be solved by Cramer's law. 2. Master the judgment method of non-homogeneous linear equations with and without solutions. 3. Understand the concept of basic solution system of homogeneous linear equations, and master the solution and general solution of basic solution system of homogeneous linear equations. 4. Understand the structure of solutions of nonhomogeneous linear equations and the concept of general solutions. 5. Master the method of solving linear equations with elementary line transformation. 5. The concept of eigenvalues and eigenvectors of matrices, the concept of similar matrices and the necessary and sufficient conditions for similar diagonalization of property matrices, and the examination requirements for real symmetric matrices of similar diagonal matrices and similar diagonal matrices are 1. Understand the concepts of matrix eigenvalues and eigenvectors, master the properties of matrix eigenvalues and eigenvectors, and master the methods of finding matrix eigenvalues and eigenvectors. 2. Understand the concept of matrix similarity, master the properties of similar matrix, understand the necessary and sufficient conditions for matrix similarity to diagonal, and master the method of transforming matrix into similar diagonal matrix. 3. Master the properties of eigenvalues and eigenvectors of real symmetric matrices. Sixth, quadratic form and its matrix represent the rank inertia theorem of contract transformation and quadratic form of contract matrix. The standard form and standard form of quadratic form are transformed into standard quadratic form by orthogonal transformation and matching method. The positive test requirement of its matrix is 1. In order to understand the concept of quadratic form, we express quadratic form in matrix form, and understand the concepts of contract transformation and contract matrix. 2. Understand the concept of rank of quadratic form, the concepts of standard form and standard form of quadratic form, and inertia theorem, and transform quadratic form into standard form by orthogonal transformation and collocation method. 3. Understand the concepts of positive definite quadratic form and positive definite matrix, and master their discrimination methods. Probability theory and mathematical statistics 1. The content of random events and probability tests the relationship between random events and events in the sample space and the basic properties of the concept probability of complete operation; Classical probability geometric probability conditional probability basic formula; Independent repeat testing of events requires 1. Understand the concept of sample space (basic event space), understand the concept of random events, and master the relationship and operation of events. 2. Understand the concepts of probability and conditional probability, master the basic properties of probability, calculate classical probability and geometric probability, and master the addition formula, subtraction formula, multiplication formula, total probability formula and Bayesian formula of probability. 3. Understand the concept of event independence and master the probability calculation with event independence; Understand the concept of independent repeated test and master the calculation method of related event probability. Second, random variables and their distribution test content The concept and properties of random variable distribution function of random variables, the probability distribution of discrete random variables, the probability density of continuous random variables, the distribution of common random variables, and the distribution test requirements of random variable functions 1. Understand the concept of random variables, understand the concept and properties of distribution function, and calculate the probability of events related to random variables. 2. Understand the concept and probability distribution of discrete random variables, and master 0- 1 distribution, binomial distribution, geometric distribution, hypergeometric distribution, Poisson distribution and their applications. 3. Grasp the conclusion and application conditions of Poisson theorem, and use Poisson distribution to approximately represent binomial distribution. 4. Understand the concept of continuous random variables and their probability density, and master uniform distribution, normal distribution, exponential distribution and their applications, in which the probability density of exponential distribution with parameters is 5. Find the distribution of random variable function. Three. Multi-dimensional random variables and their distribution test content Probability distribution, edge distribution and conditional distribution of 2D discrete random variables Probability density, marginal probability density and conditional density of 2D continuous random variables are commonly used. The independence and irrelevance distribution test of 2D random variables requires two or more simple functions of random variables 1. Understand the concept and properties of the distribution function of multidimensional random variables. 2. Understand the probability distribution of two-dimensional discrete random variables and the probability density of two-dimensional continuous random variables, and master the edge distribution and conditional distribution of two-dimensional random variables. 3. Understand the concepts of independence and irrelevance of random variables, master the conditions of mutual independence of random variables, and understand the relationship between irrelevance and independence of random variables. 4. Grasp the two-dimensional uniform distribution and two-dimensional normal distribution, and understand the probability meaning of parameters. 5. The distribution of function will be found according to the joint distribution of two random variables, and the distribution of function will be found according to the joint distribution of several independent random variables. Fourth, the digital characteristics of random variables test content The mathematical expectation (mean), variance, standard deviation and its properties of random variables The mathematical expectation of Chebyshev inequality moment, covariance, correlation coefficient and its properties test requirements are 1. To understand the concept of digital characteristics of random variables (mathematical expectation, variance, standard deviation, moment, covariance, correlation coefficient), we will use the basic properties of digital characteristics. 2. Know the mathematical expectation of random variable function. 3. Understand Chebyshev inequality. V. Law of Large Numbers and Central Limit Theorem Examination Contents Chebyshev's Law of Large Numbers Bernoulli's Law of Large Numbers demo ivre- Laplace Levi's Law-Lindbergh Theorem Examination Requirements 1. Understand Chebyshev's law of large numbers, Bernoulli's law of large numbers and Hinchin's law of large numbers (? 2. Understand de moivre-Laplace Theorem (binomial distribution takes normal distribution as the limit distribution) and Levi-Lindbergh Theorem (central limit theorem of independent identically distributed random variable sequence), and use relevant theorems to approximately calculate the probability of random events. Basic concepts of mathematical statistics of intransitive verbs examination content General individual simple random sample statistics empirical distribution function Sample mean sample variance and sample moment distribution quantile normal general common sampling distribution examination requirements 1. Understand the concepts of population, simple random sample, statistics, sample mean, sample variance and sample moment, where sample variance is defined as 2. Understand the typical patterns of generating variables, variables and variables; Understand the upper quantile of standard normal distribution, distribution, distribution and distribution, and look up the corresponding numerical table. 3. Grasp the sampling distribution of sample mean, sample variance and sample moment of normal population. 4. Understand the concept and properties of empirical distribution function. Test paper structure (1) test paper total score150; (2) The content of calculus is about 56%, linear algebra is about 22%, and probability theory and mathematical statistics are about 22%; (3) The proportion of multiple-choice questions is 8 small questions, with 4 points for each small question, 32 points for * * * to fill in the blanks, 4 points for each small question, and 24 points for solving * * * (including proof questions).