You have all the textbooks, and I only recommend the tutorial books. The following contents are purely original (except the outline)
(1) are all published and listed now. You can buy a math review book for postgraduate entrance examination (edited by Li Yongle), and there is also a math review guide for postgraduate entrance examination written by Chen Wendeng on the market, but this book has been published by two publishers this year, one is a yellow book and the other is a blue book. According to Chen Wendeng, the Yellow Book is unauthorized, so there are some problems in this year's review guide, and the difficulty of the guide is in the side. Besides, most people use encyclopedias every year.
Of course, there is no need to rush to read review books now. Read the textbook first, and leave the whole book for the summer vacation.
(2) Then, I will recommend you the real questions over the years. You also need to buy Analysis of Historical Issues (edited by Li Yongle), which is used by many people. You can also buy the Classification and Analysis of Historical Zhenti (edited by Wu Zhongxiang) that I used last year. Although it hasn't come out yet, I suggest that you leave the real questions until you finish reading the review book and complete the knowledge system. If you start writing now, it is a waste of real questions, which is also for self-test.
(3) The next step is practice. In fact, it is enough to do the exercises at the back of the book, and then it is basically no problem to do the real questions for the postgraduate entrance examination. However, if you think you haven't practiced enough, I recommend you to buy 1500 objective math questions for postgraduate entrance examination (edited by Cai) and 660 basic math questions for postgraduate entrance examination (edited by Cai). The former is for my use and has been listed, while the latter has not been published yet, and it has a good reputation. I don't recommend subjective questions. After all, the objective question is the key to the whole score, and it is also the place where the gap widens. When the objective questions are practiced, the subjective questions will be fine.
(4) You may ask if there are any simulation questions you can recommend, but I think simulation questions can be done or not, because the difficulty always deviates greatly from the real questions. Li Yongle's "Fully Realistic Simulation of 400 Classic Questions" is much more difficult than the real questions. Don't doubt my poor level, but you don't have enough time to calculate the questions on these papers, let alone think hard. 10 sets of questions will basically not be finished, and what you can do may be wrong. It would be nice to get 100 points for each paper. This is what I felt at that time (the answer is conservatively estimated to be 1 1), which greatly hit my confidence. However, Chen Wendeng's 15 sets of simulation questions are too easy. According to others, many questions basically don't need brains. If you really want to practice, just choose one from the market and don't take it too seriously. These books will basically be available in 10 months.
The counseling books available for the full postgraduate entrance examination in mathematics have been recommended. This is the syllabus. Because the outline of 12 didn't come out until September, but the outline of mathematics basically doesn't change every year, so I'll give it to you 1 1 year, and you can cross out everything that you don't take in the book.
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20 1 1 Master's Entrance Examination Mathematics Examination Outline-Mathematics I
Examination subjects: advanced mathematics, linear algebra, probability theory and mathematical statistics.
Examination form and examination paper structure
First, the perfect score of the test paper and the examination time
The full mark of the test paper is 150, and the test time is 180 minutes.
Second, the way to answer questions
The answer methods are closed book and written test.
Third, the content structure of the test paper
Higher education 56%
Linear algebra 22%
Probability theory and mathematical statistics 22%
Fourth, the question structure of the test paper
The question structure of the test paper is:
8 multiple-choice questions, each with 4 points and ***32 points.
Fill in the blanks with 6 small questions, with 4 points for each question and 24 points for * *.
Answer 9 small questions (including proof questions), ***94 points.
Advanced arithmetic
I. Function, Limit and Continuity
Examination content
The concept and representation of function, boundedness, monotonicity, periodicity and parity of function, the properties of basic elementary functions of inverse function, piecewise function and implicit function, and the establishment of functional relationship of graphic elementary function.
Definitions and properties of sequence limit and function limit, left limit and right limit of function, concepts and relationships of infinitesimal and infinitesimal, properties of infinitesimal and four operational limits of infinitesimal, two important limits: monotone bounded criterion and pinch criterion;
Concept of Function Continuity Types of Discontinuous Points of Functions Continuity of Elementary Functions Properties of Continuous Functions on Closed Interval
Examination requirements
1. Understand the concept of function and master the expression of function, and you 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, 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 concept of limit, the concept of left and right limit of function and the relationship between the existence of function limit and left and right limit.
6. Master the nature of limit and four algorithms.
7. Master two criteria for the existence of limit, and use them to find the limit, and master the method of using two important limits to find the limit.
8. Understand the concepts of infinitesimal and infinitesimal, master the comparison method of infinitesimal, and find the limit with equivalent infinitesimal.
9. Understanding the concept of function continuity (including left continuity and right continuity) will distinguish the types of function discontinuity points.
10. Understand the properties of continuous function and continuity of elementary function, understand the properties of continuous function on closed interval (boundedness, maximum theorem, mean value theorem), and apply these properties.
Second, the differential calculus of unary function
Examination content
The relationship between the geometric meaning of derivative and differential concepts and the derivability and continuity of physical meaning function; Four operations of tangent, normal derivative and differential of plane curve; Derivative compound function, inverse function and implicit function of basic elementary function; And the L'Hospital invariant differential mean value theorem of the first-order differential form of the higher derivative of the function determined by the parameter equation. Discriminating Monotonicity of Regular Function The concavity and convexity, inflection point and asymptote of extreme value function graph The concept of regular function graph The maximum and minimum values of the drawing function of curvature circle and the curvature radius of arc differential curvature.
Examination requirements
1. Understand the concepts of derivative and differential, understand the relationship between derivative and differential, understand the geometric meaning of derivative, find the tangent equation and normal equation of plane curve, understand the physical meaning of derivative, describe some physical quantities with derivative, and understand the relationship between function derivability and continuity.
2. Master the four algorithms of derivative and the derivative rule of compound function, and master the derivative formula of basic elementary function. Knowing the four algorithms of differential and the invariance of first-order differential form, we can find the differential of function.
3. If you understand the concept of higher derivative, you will find the higher derivative of simple function.
4. We can find the derivative of piecewise function, implicit function, function determined by parametric equation and inverse function.
5. Understand and apply Rolle theorem, Lagrange mean value theorem, Taylor theorem, and Cauchy mean value theorem.
6. Master the method of finding the limit of infinitive with L'H?pital's law.
7. Understand the concept of extreme value of function, master the method of judging monotonicity of function and finding extreme value of function with derivative, and master the method of finding maximum and minimum value of function and its application.
8. The derivative will be used to judge the concavity and convexity of the function graph (Note: in the interval, let the function have the second derivative. When, the figure is concave; When the graph is convex, the inflection point and horizontal, vertical and oblique asymptotes of the function graph will be found, and the function graph will be portrayed.
9. Understand the concepts of curvature, circle of curvature and radius of curvature, and calculate curvature and radius of curvature.
3. Integral calculus of unary function
Examination content
The concept of original function and indefinite integral The basic properties of indefinite integral The concept of basic integral formula and the basic properties of the mean value theorem of definite integral The upper limit of integral and the function of its derivative Newton-Leibniz formula The substitution integration method of indefinite integral and definite integral and the application of partial integral Rational function, trigonometric function rational formula and simple unreasonable function integral abnormal (generalized) definite integral.
Examination requirements
1. Understand the concepts of original function and indefinite integral and definite integral.
2. Master the basic formula of indefinite integral, the properties of indefinite integral and definite integral and the mean value theorem of definite integral, and master the integration methods of method of substitution and integration by parts.
3. Know the integral of rational function, rational trigonometric function and simple unreasonable function.
4. Understand the function of the upper limit of integral, find its derivative and master Newton-Leibniz formula.
5. Understand the concept of generalized integral and calculate generalized integral.
6. Master the expression and calculation of the average value of some geometric and physical quantities (the area of plane figure, the arc length of plane curve, the volume and lateral area of rotating body, and the area of parallel section are known solid volume, work, gravity, pressure, centroid, centroid, etc.). ) and definite integral function.
4. Vector Algebra and Spatial Analytic Geometry
Examination content
The quantitative product of the linear operation vector of the concept vector of the vector and the mixed product of the cross product vector are the conditions that the two vectors are vertically parallel. The coordinate expression of two vector included angle vector and its operation unit vector direction number and direction cosine surface equation and space curve equation are the concepts of plane equation, straight line equation, plane to plane, plane to straight line, straight line to straight line included angle and parallelism. The distance between vertical condition point and plane and the distance between point and straight line are commonly used parametric equations of spherical cylindrical surface of revolution and its graphic space curve and projection curve equation of general equation space curve on coordinate plane.
Examination requirements
1. Understand the spatial rectangular coordinate system and the concept and representation of vectors.
2. Master the operation of vectors (linear operation, quantitative product, cross product, mixed product) and understand the conditions for two vectors to be vertically parallel.
3. Understand the coordinate expressions of unit vector, direction number, direction cosine and vector, and master the method of vector operation with coordinate expressions.
4. Principal plane equation and straight line equation and their solutions.
5. Will find the included angle between plane, plane and straight line, straight line and straight line, and will use the relationship between plane and straight line (parallel, vertical, intersecting, etc.). ) to solve related problems.
6. You can find the distance from a point to a straight line and the distance from a point to a plane.
7. Understand the concepts of surface equation and space curve equation.
8. Knowing the equation of quadric surface and its graph, we can find out the equation of simple cylindrical surface and revolving surface.
9. Understand the parametric equation and general equation of space curve. Understand the projection of space curve on the coordinate plane, and find the equation of projection curve.
Verb (abbreviation of verb) Differential calculus of multivariate functions
Examination content
Concept of multivariate function, geometric meaning of bivariate function, concept of limit and continuity of bivariate function, properties of multivariate continuous function in bounded closed region, necessary and sufficient conditions for existence of partial derivative and total differential of multivariate function, derivation method of implicit function, second-order partial derivative direction derivative of multivariate composite function and tangent of gradient space curve, second-order Taylor formula of tangent and normal of plane surface, maximum and conditional extreme value of multivariate function and its simple application.
Examination requirements
1. Understand the concept of multivariate function and the geometric meaning of bivariate function.
2. Understand the concepts of limit and continuity of binary functions and the properties of continuous functions in bounded closed regions.
3. By understanding the concepts of partial derivative and total differential of multivariate functions, we can find the total differential, understand the necessary and sufficient conditions for the existence of the total differential, and understand the invariance of the total differential form.
4. Understand the concepts of directional derivative and gradient, and master their calculation methods.
5. Master the solution of the first and second partial derivatives of multivariate composite functions.
6. Knowing the existence theorem of implicit function, we can find the partial derivative of multivariate implicit function.
7. Understand the concepts of tangent and normal plane of space curve and tangent and normal plane of surface, and work out their equations.
8. Understand the second-order Taylor formula of binary function.
9. Understand the concepts of extreme value and conditional extreme value of multivariate function, master the necessary conditions of extreme value of multivariate function, understand the sufficient conditions of 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.
Six, multivariate function integral calculus
Examination content
The concepts, properties, calculation and application of double integral and triple integral; The concept, properties and calculation of two kinds of curve integrals: Green's formula; The condition that the plane curve integral is independent of the path; Original function of binary function; The concept, properties and calculation of two kinds of surface integrals: Gaussian formula; Stokes formula; The concepts of divergence and curl; And the calculation of curve integral and surface integral.
Examination requirements
1. Understand the concept, properties and mean value theorem of double integral.
2. Master the calculation method of double integrals (rectangular coordinates and polar coordinates), and be able to calculate triple integrals (rectangular coordinates, cylindrical coordinates and spherical coordinates).
3. Understand the concepts, properties and relationships of two kinds of curve integrals.
4. Master the calculation methods of two kinds of curve integrals.
5. Master Green's formula and use the condition that the plane curve integral has nothing to do with the path to find the original function of the total differential of binary function.
6. Understand the concepts, properties and relations of two kinds of surface integrals, master the calculation methods of two kinds of surface integrals, master the method of calculating surface integrals with Gaussian formula, and calculate curve integrals with Stokes formula.
7. The concepts of dissolution and rotation are introduced and calculated.
8. Some geometric and physical quantities (area, volume, surface area, arc length, mass, centroid, centroid, moment of inertia, gravity, work and flow, etc.). ) can be obtained by using multiple integral, curve integral and surface integral.
Seven, infinite series
Examination content
The basic properties and necessary conditions of the convergence and divergence of the concept series of geometric series sum of constant series, the discrimination of the absolute convergence and divergence of the staggered series of positive series and Leibniz theorem; The concept of power series of sum function and its convergence radius and convergence interval (refers to the open interval), and the basic properties of sum function in convergence region; Solution of simple power series sum function: Fourier coefficient of power series expansion function of elementary function and Dirichlet theorem function of sine series and cosine series of Fourier series about Fourier series.
Examination requirements
1. Understand the concepts of convergence and sum of convergent constant series, and master the basic properties of series and the necessary conditions for convergence.
2. Master the conditions of geometric series and convergence and divergence of series.
3. To master the comparison method and ratio method of positive series convergence, the root value method will be used.
4. Master the Leibniz discriminant method of staggered series.
5. Understand the concepts of absolute convergence and conditional convergence of arbitrary series and the relationship between absolute convergence and convergence.
6. Understand the convergence domain of function term series and the concept of function.
7. Understand the concept of convergence radius of power series and master the solution of convergence radius, convergence interval and convergence domain of power series.
8. Knowing the basic properties of power series in its convergence interval (continuity of sum function, item-by-item derivation, item-by-item integration), we will find the sum function of some power series in its convergence interval, and then find the sum of several terms of some series.
9. Understand the necessary and sufficient conditions for the function to expand into Taylor series.
10. Master Maclaurin expansions of,, and, and use them to indirectly expand some simple functions into power series.
1 1. Knowing the concept of Fourier series and Dirichlet's convergence theorem, we expand the functions defined on the ground into Fourier series, and expand the functions defined on the ground into sine series and cosine series, and write the expressions of Fourier series and functions.
Eight, ordinary differential equations
Examination content
The basic concept of ordinary differential equation can be separated into variable differential equation, homogeneous differential equation, first-order linear differential equation, Bernoulli equation, full differential equation, and some single-variable differential equations can be solved by method of substitution. Properties and structure theorems of solutions of reduced higher order linear differential equations: the second order homogeneous linear differential equation with constant coefficients is higher than the second order homogeneous linear differential equation with constant coefficients; Simple application of simple second-order non-homogeneous linear differential equation with constant coefficients Euler differential equation
Examination requirements
1. Understand differential equations and their concepts such as order, solution, general solution, initial condition and special solution.
2. Master the solutions of differential equations with separable variables and first-order linear differential equations.
3. Homogeneous differential equations, Bernoulli equations and total differential equations can be solved, and some differential equations can be replaced by simple variables.
4. The following differential equations will be solved by order reduction method:.
5. Understand the properties and structure of solutions of linear differential equations.
6. Master the solution of second-order homogeneous linear differential equations with constant coefficients, and be able to solve some homogeneous linear differential equations with constant coefficients higher than the second order.
7. Polynomials, exponential functions, sine functions, cosine functions and their sum and product can be used to solve second-order non-homogeneous linear differential equations with constant coefficients.
8. Euler equation can be solved.
9. Can use differential equations to solve some simple application problems.
linear algebra
I. Determinants
Examination content
The concept and basic properties of determinant The expansion theorem of determinant by row (column)
Examination requirements:
1. Understand the concept of determinant and master its properties.
2. The properties of determinant and determinant expansion theorem will be applied to calculate determinant.
Second, the matrix
Examination content
Concept of matrix, linear operation of matrix, multiplication of matrix, concept and properties of transposed inverse matrix of determinant matrix, necessary and sufficient conditions for matrix reversibility, equivalent block matrix of elementary transformation of matrix and rank matrix of elementary matrix and its operation.
Examination requirements
1. Understand the concepts of matrix, identity matrix, quantitative matrix, diagonal matrix, triangular matrix, symmetric matrix and antisymmetric matrix, and their properties.
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, master the properties of inverse matrix, the necessary and sufficient conditions of matrix reversibility, understand the concept of adjoint matrix, and use adjoint matrix to find inverse matrix.
4. Understand the concept of elementary transformation of matrix, understand the properties of elementary matrix and the concept of matrix equivalence, understand the concept of matrix rank, and master the method of finding matrix rank and inverse matrix by elementary transformation.
5. Understand the block matrix and its operation.
Third, the vector
Examination content
The linear combination of concept vectors of vectors and the linear representation of vector groups are linearly related to the largest linear independent group of linear independent vector groups. The relationship between the rank of equivalent vector group and the rank of matrix. Base transformation and coordinate transformation in vector space and their related concepts. Orthogonal normalization of inner product linear independent vector group defines orthogonal matrix of orthogonal basis and its properties.
Examination requirements
1. Understand the concepts of dimension vector, linear combination of vectors and linear representation.
2. Understand the concepts of 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 concepts of maximal linearly independent group and rank 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 concepts of dimension vector space, subspace, basis, dimension and coordinates.
6. Understand the formulas of base transformation and coordinate transformation, and find the transformation matrix.
7. Understand the concept of inner product and master the Schmidt method of orthogonal normalization of linear independent vector groups.
8. Understand the concepts and properties of standard orthogonal bases and orthogonal matrices.
Fourth, linear equations.
Examination content
Cramer's Law of Linear Equations Necessary and Sufficient Conditions for Homogeneous Linear Equations to Have Non-zero Solutions Necessary and Sufficient Conditions for Non-homogeneous Linear Equations to Have Solutions Properties and Structures of Linear Equations; Basic solution system of homogeneous linear equations and general solution of nonhomogeneous linear equations in general solution space
Examination requirements
The length can be determined by Cramer's law.
2. Understand the necessary and sufficient conditions for homogeneous linear equations to have nonzero solutions and nonhomogeneous linear equations to have solutions.
3. Understand the concepts of basic solution system, general solution and solution space of homogeneous linear equations, and master the solution of basic solution system and general solution 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.
Eigenvalues and eigenvectors of verb (abbreviation of verb) matrix
Examination content
Concepts of eigenvalues and eigenvectors of matrices, property similarity transformation, concepts of similar matrices and necessary and sufficient conditions for similar diagonalization of property matrices, eigenvalues and eigenvectors of similar diagonal matrices and their real symmetric matrices.
Examination requirements
1. Understand the concepts and properties of eigenvalues and eigenvectors of a matrix, and you will find the eigenvalues and eigenvectors of the matrix.
2. Understand the concept and properties of similar matrix and the necessary and sufficient conditions for matrix similarity diagonalization, 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
Examination content
Quadratic form and its matrix represent contract transformation and rank inertia theorem of quadratic form of contract matrix. The canonical form and canonical form of quadratic form are transformed into canonical quadratic form and the positive definiteness of its matrix by orthogonal transformation and matching method.
Examination requirements
1. Master quadratic form and its matrix representation, understand the concepts of quadratic form rank, contract transformation and contract matrix, and understand the concepts of canonical form, canonical form and inertia theorem of quadratic form.
2. Master the method of transforming quadratic form into standard form by orthogonal transformation, and can transform quadratic form into standard form by matching method.
3. Understand the concepts of positive definite quadratic form and positive definite matrix, and master their discrimination methods.
Probability and mathematical statistics
I. Random events and probabilities
Examination content
The relationship between random events and events in sample space and the basic properties of complete operation concept probability Basic formula of classical probability of event group probability Geometric probability Conditional independent repetition test of probability events.
Examination requirements
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
Examination content
Concept and Properties of Random Variables Distribution Function Probability Distribution of Discrete Random Variables Probability Density of Continuous Random Variables Distribution of Common Random Variables Distribution of Random Variable Functions
Examination requirements
1. Understand the concepts of random variables and distribution functions.
The concept and properties of will 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. Understand 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, multidimensional random variables and their distribution
Examination content
Multi-dimensional random variables and their distributions Probability distribution, edge distribution and conditional distribution of two-dimensional discrete random variables Probability density, marginal probability density and conditional density of two-dimensional continuous random variables Independence and irrelevance of two or more simple functions.
Examination requirements
1. Understand the concept of multidimensional random variables, the concept and properties of multidimensional random variable distribution, the probability distribution, edge distribution and conditional distribution of two-dimensional discrete random variables, and the probability density, edge density and conditional density of two-dimensional continuous random variables, so as to find the probability of related events of two-dimensional random variables.
2. Understand the concepts of independence and irrelevance of random variables, and master the conditions of mutual independence of random variables.
3. Grasp the two-dimensional uniform distribution, understand the probability density of the two-dimensional normal distribution, and understand the probability meaning of the parameters.
4. Will find the distribution of simple functions of two random variables, and will find the distribution of simple functions of multiple independent random variables.
Fourth, the numerical characteristics of random variables
Examination content
Mathematical expectation (mean), variance, standard deviation and their properties of random variables Mathematical expectation moment, covariance, correlation coefficient and their properties of random variable functions
Examination requirements
1. Understand the concept of numerical characteristics of random variables (mathematical expectation, variance, standard deviation, moment, covariance, correlation coefficient), and use the basic properties of numerical characteristics to master the numerical characteristics of common distributions.
2. Know the mathematical expectation of random variable function.
Law of Large Numbers and Central Limit Theorem
Examination content
Chebyshev Inequality Chebyshev's Law of Large Numbers Bernoulli's Law of Large Numbers De Morville-Laplace Theorem Levy-Lindbergh Theorem
Examination requirements
1. Understanding Chebyshev Inequality.
2. Understand Chebyshev's law of large numbers, Bernoulli's law of large numbers and Sinchin's law of large numbers (the law of large numbers of independent and identically distributed random variable sequences).
3. 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).
Basic concepts of mathematical statistics of intransitive verbs
Examination content
Sample variance and sample moment distribution of simple random sample statistics of individuals in the population General sampling distribution of quantile normal population
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 concept and nature of distribution, distribution and distribution, understand the concept of upper quantile and look it up.
3. Understand the common sampling distribution of normal population.
Seven. parameter estimation
Examination content
Concept estimation of point estimation and estimated value Method of moment estimation Maximum likelihood estimation Method of estimation criterion Interval estimation Concept Interval estimation of mean and variance of a single normal population Interval estimation of mean difference and variance ratio of two normal populations.
Examination requirements
1. Understand the concepts of point estimation, estimator and parameter estimation.
2. Master moment estimation methods (first-order moment, second-order moment) and maximum likelihood estimation methods.
3. Understand the concepts of unbiased estimator, validity (minimum variance) and consistency (consistency), and verify unbiased estimator.
4. In order to understand the concept of interval estimation, we will find the confidence interval of the mean and variance of a single normal population, and the confidence interval of the mean difference and variance ratio of two normal populations.
Eight, hypothesis testing
Examination content
Two types of false hypothesis testing in significance testing Hypothesis testing of mean and variance of single and two normal populations.
Examination requirements
1. Understand the basic idea of significance test, master the basic steps of hypothesis test, and understand two possible errors in hypothesis test.
2. Master the hypothesis test of the mean and variance of single and two normal populations.