Countless graduate students have been looking forward to the "2006 national unified entrance examination for master students", which has finally been listed. As for why the Ministry of Education delayed the release until January, it is hard for anyone to guess, but what is certain before is that this year's math exam has not changed much. Sure enough, we made a comprehensive comparison between the 2005 syllabus and the new syllabus, and found that the phenomenon of the merger of Mathematics III and Mathematics IV, which was widely rumored among the original candidates, did not happen, the knowledge points did not change greatly, and the test paper structure and score distribution did not change. Therefore, I hope that the majority of candidates will seriously review mathematics according to the original plan from now on. The following is a comparison of the minor changes in the contents and requirements of the examination in 2005 and 2006, hoping to provide some help for your review.

Mathematics one

Advanced mathematics

I. Function, Limit and Continuity

(A) changes in the content of the examination

1. New knowledge point: None

2. Adjust knowledge points: adjust "the establishment of function relationship of simple application problems" to "the establishment of function relationship".

3. Delete knowledge points: None

(b) Changes in examination requirements

The examination requirements have not changed.

Second, the differential calculus of unary function

(A) changes in the content of the examination

1. New knowledge point: None

2. Adjust knowledge points: adjust "four operations of derivative and differential of basic elementary function" to "four operations of derivative and differential of basic elementary function"

3. Delete knowledge points: None

(b) Changes in examination requirements

1. In the examination requirements, "4. Find the first and second derivatives of piecewise function. Derivation of Implicit Function, Function Determined by Parameter Equation and Inverse Function was adjusted in 2005 and merged into "4. Find the derivative of piecewise function, the derivative of implicit function, the function determined by parameter equation, and the inverse function. "

2. Advance the original article 9 to article 6, which shows the importance of "finding the indefinite limit with Robida's law".

3. Integral calculus of unary function

(A) changes in the content of the examination

1. New knowledge point: added "express and calculate the center of mass with definite integral"

2. Adjust knowledge points: None

3. Delete knowledge points: None

(b) Changes in examination requirements

The examination requirements have not changed.

4. Vector Algebra and Spatial Analytic Geometry

same

Verb (abbreviation of verb) Differential calculus of multivariate functions

same

Six, multivariate function integral calculus

(A) changes in the content of the examination

1. New knowledge point: None

2. Adjust knowledge points: adjust "concepts and properties of double integral and triple integral, calculation and application of double integral and triple integral" to "concepts, properties, calculation and application of double integral and triple integral"

3. Delete knowledge points: None

(b) Changes in examination requirements

The examination requirements have not changed.

Seven, infinite series

same

Eight, ordinary differential equations

(A) changes in the content of the examination

1. New knowledge point: None

2. Adjust knowledge points: None

3. Delete knowledge points: None

(b) Changes in examination requirements

The concept of "understanding differential equations and their solutions, orders, general solutions, initial conditions and special solutions" in the examination requirements is adjusted to "understanding differential equations and their orders, solutions, general solutions, initial conditions and special solutions".

linear algebra

I. Determinants

same

Second, the matrix

same

Third, the vector

(A) changes in the content of the examination

1. New knowledge point: None

2. Adjust knowledge points: None

3. Delete knowledge points: None

(b) Changes in examination requirements

In the examination requirements, "4. Understand the concept of vector group equivalence and the relationship between the rank of a matrix and its row (column) vector group "is adjusted to" understand the concept of vector group equivalence and understand the relationship between the rank of a matrix and its row (column) vector group "

Fourth, linear equations.

same

Eigenvalues and eigenvectors of verb (abbreviation of verb) matrix

same

Sixth, quadratic form

(A) changes in the content of the examination

1. New knowledge point: None

2. Adjust knowledge points: None

3. Delete knowledge points: None

(b) Changes in examination requirements

In the examination requirements, "3. Understand the positive definiteness of quadratic form and corresponding matrix and its discrimination method "adjust to" 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

same

Second, random variables and their distribution

same

Three, two-dimensional random variables and their distribution (changed to "multidimensional random variables and their distribution")

(A) changes in the content of the examination

1. New knowledge point: None

2. Adjust knowledge points:

(1) Adjust "two-dimensional random variable and its probability distribution" to "multidimensional random variable and its distribution";

(2) Adjust "probability density, edge density and conditional density of two-dimensional continuous random variables" to "probability density, marginal probability density and conditional density of two-dimensional continuous random variables";

(3) Adjust "the distribution of simple functions of two random variables" to "the distribution of simple functions of two or more random variables"

3. Delete knowledge points: None

(b) Changes in examination requirements

(1) Adjust "1. Understand the concept of two-dimensional random variables and the concept and properties of their distribution "Dao" 1. Understand the concept and properties of multidimensional random variables ",

(2) adjust "2. Understand the concepts of independence and irrelevance of random variables, and master the independence conditions of discrete and continuous random variables. Understand the concepts of independence and irrelevance of random variables and master the conditions of independence of random variables ",

(3) Adjust "4". Find the distribution of simple functions of two random variables. Find the distribution of simple functions of two random variables and the distribution of simple functions of multiple independent random variables. "

Fourth, the numerical characteristics of random variables

same

Law of Large Numbers and Central Limit Theorem

(A) changes in the content of the examination

1. New knowledge point: None

2. Adjust knowledge points: None

3. Delete knowledge points: None

(b) Changes in examination requirements

(1) Adjust "2. Understand Chebyshev's law of large numbers, Bernoulli's law of large numbers and Hinchin's law of large numbers (the law of large numbers of independent and identically distributed random variables). Understand Chebyshev's law of large numbers, Bernoulli's law of large numbers and Sinchin's law of large numbers (law of large numbers of independent and identically distributed random variables) ";

(2) Adjust "3". Understand de moivre-Laplace Theorem (binomial distribution takes normal distribution as the limit distribution) and Levi-Lindbergh Theorem (central limit theorem of independent and identical distribution) "to" 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

same

Seven. parameter estimation

(A) changes in the content of the examination

4. New knowledge points: None

5. Adjust knowledge points: None

6. Delete knowledge points: None

(b) Changes in examination requirements

Adjust "4. Understand the concept of interval estimation. Understand the concept of interval estimation "

Eight, hypothesis testing

(A) changes in the content of the examination

1. New knowledge point: None

2. Adjust knowledge points: None

3. Delete knowledge points: None

(b) Changes in examination requirements

Adjust "2. Hypothesis test of the mean and variance of a known single and two normal populations. Hypothesis test of the mean and variance of a known single and two normal populations "

Mathematics (2)

Advanced mathematics

I. Function, Limit and Continuity

(A) changes in the content of the examination

1. New knowledge point: None

2. Adjust knowledge points: adjust "the establishment of function relationship of simple application problems" to "the establishment of function relationship".

3. Delete knowledge points: None

(b) Changes in examination requirements

The examination requirements have not changed.

Second, the differential calculus of unary function

(A) changes in the content of the examination

1. New knowledge point: None

2. Adjust knowledge points: adjust "four operations of derivative and differential of basic elementary function" to "four operations of derivative and differential of basic elementary function"

3. Delete knowledge points: None

(b) Changes in examination requirements

1. In the examination requirements, "4. Find the first and second derivatives of piecewise function. Derivation of Implicit Function, Function Determined by Parameter Equation and Inverse Function was adjusted in 2005 and merged into "4. Find the derivative of piecewise function, the derivative of implicit function, the function determined by parameter equation, and the inverse function. "

2. Advance the original article 9 to article 6, which shows the importance of "finding the indefinite limit with Robida's law".

3. Integral calculus of unary function

(A) changes in the content of the examination

1. New knowledge point: added "express and calculate the center of mass with definite integral"

2. Adjust knowledge points: None

3. Delete knowledge points: None

(b) Changes in examination requirements

The examination requirements have not changed.

Four, multivariate function calculus

same

Verb (abbreviation of verb) ordinary differential equation

(A) changes in the content of the examination

1. New knowledge point: None

2. Adjust knowledge points: None

3. Delete knowledge points: None

(b) Changes in examination requirements

The concept of "understanding differential equations and their solutions, orders, general solutions, initial conditions and special solutions" in the examination requirements is adjusted to "understanding differential equations and their orders, solutions, general solutions, initial conditions and special solutions".

linear algebra

I. Determinants

same

Second, the matrix

same

Third, the vector

(A) changes in the content of the examination

1. A new knowledge point: orthogonal normalization of inner product linear independent vector groups of vectors.

2. Adjust knowledge points: None

3. Delete knowledge points: None

(b) Changes in examination requirements

Add "5. Understand the concept of inner product, and master the requirements of "Schmidt method of orthogonal normalization of linear unrelated vector groups" for examination.

Fourth, linear equations.

same

Eigenvalues and eigenvectors of verb (abbreviation of verb) matrix

(A) changes in the content of the examination

1. New knowledge point: None

2. Adjust knowledge points: None

3. Delete knowledge points: None

(b) Changes in examination requirements

1. Adjust "2. Understand the concept and properties of similar matrix and the necessary and sufficient conditions for diagonalization of matrix similarity. Understand the concept and properties of similar matrix and the necessary and sufficient conditions for similar diagonalization of matrix, and transform matrix into similar diagonal matrix. "

2. Adjust "3. Understand the properties of eigenvalues and eigenvectors of real symmetric matrices. Understand the properties of eigenvalues and eigenvectors of real symmetric matrices. "

Mathematics (3)

calculus

I. Function, Limit and Continuity

(A) changes in the content of the examination

1. New knowledge point: None

2. Adjust knowledge points: adjust "the establishment of function relationship of simple application problems" to "the establishment of function relationship".

3. Delete knowledge points: None

(b) Changes in examination requirements

1. In the examination requirements, "9. Understand the properties of continuous function and the continuity of elementary function, understand the properties of continuous function on closed interval (boundedness, maximum theorem, mean value theorem) and its simple application "adjust to" 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).

Second, the differential calculus of unary function

(A) changes in the content of the examination

1. New knowledge point: None

2. Adjust knowledge points: integrate the concept and algorithm of derivative with the concept and algorithm of differential.

3. Delete knowledge points: None

(b) Changes in examination requirements

1. In the examination requirements, "2. Master the derivation formula of basic elementary function, the four operation rules of derivative and the derivation rule of compound function; Master the derivative method of inverse function and implicit function, understand the logarithmic derivative method and merge it into "2" Master the derivation formula of basic elementary function, the four operation rules of derivative and the derivation rule of compound function; I will find the derivative of piecewise function, and I will find the derivative of inverse function and implicit function. "

3. Integral calculus of unary function

same

Four, multivariate function calculus

same

Five, infinite series

same

Six, ordinary differential equations and difference equations

(A) changes in the content of the examination

1. New knowledge points: the properties of solutions of linear differential equations and the structure theorem of solutions.

2. Adjust knowledge points: None

3. Delete knowledge points: None

(b) Changes in examination requirements

same

linear algebra

I. Determinants

same

Second, the matrix

same

Third, the vector

(A) changes in the content of the examination

4. New knowledge points: None

5. Adjust knowledge points: None

6. Delete knowledge points: None

(b) Changes in examination requirements

In the examination requirements, "4. Understand the concept of vector group equivalence and the relationship between the rank of a matrix and its row (column) vector group "is adjusted to" understand the concept of vector group equivalence and understand the relationship between the rank of a matrix and its row (column) vector group "

Fourth, linear equations.

same

Eigenvalues and eigenvectors of verb (abbreviation of verb) matrix

same

Sixth, quadratic form

(A) changes in the content of the examination

4. New knowledge points: None

5. Adjust knowledge points: None

6. Delete knowledge points: None

(b) Changes in examination requirements

In the examination requirements, "3. Understand the positive definiteness of quadratic form and corresponding matrix and its discrimination method "adjust to" 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

same

Second, random variables and their distribution

same

Three, multidimensional random variables and their distribution

(A) changes in the content of the examination

1. New knowledge point: None

2. Adjust knowledge points: adjust "probability density, edge density and conditional density of two-dimensional continuous random variables" to "probability density, marginal probability density and conditional density of two-dimensional continuous random variables".

3. Delete knowledge points: None

(b) Changes in examination requirements

1. In the examination requirements, "2. Understand the concepts of independence and irrelevance of random variables, and master the conditions of independence of discrete and continuous random variables. Understand the concepts of independence and irrelevance of random variables and master the conditions of independence of random variables. "

Fourth, the numerical characteristics of random variables

same

Law of Large Numbers and Central Limit Theorem

same

Basic concepts of mathematical statistics of intransitive verbs

same

Seven. parameter estimation

same

Eight, hypothesis testing

(A) changes in the content of the examination

1. New knowledge point: None

2. Adjust knowledge points: None

3. Delete knowledge points: None

(b) Changes in examination requirements

1. Adjust "2. Hypothesis test of the mean and variance of a known single and two normal populations. Hypothesis test of the mean and variance of a known single and two normal populations "

Mathematics (4)

calculus

I. Function, Limit and Continuity

(A) changes in the content of the examination

1. New knowledge point: None

2. Adjust knowledge points: None

3. Delete knowledge points: None

(b) Changes in examination requirements

1. In the examination requirements, "9. Understand the properties of continuous function and the continuity of elementary function, understand the properties of continuous function on closed interval (boundedness, maximum theorem, mean value theorem) and its simple application "adjust to" 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).

Second, the differential calculus of unary function

(A) changes in the content of the examination

1. New knowledge point: None

2. Adjust knowledge points: integrate the concept and algorithm of derivative with the concept and algorithm of differential.

3. Delete knowledge points: None

(b) Changes in examination requirements

1. The original "2. Master the derivation formula of basic elementary function, the four operation rules of derivative and the derivation rule of compound function; Master the derivative method of inverse function and implicit function, understand the logarithmic derivative method and merge it into "2" Master the derivation formula of basic elementary function, the four operation rules of derivative and the derivation rule of compound function; I will find the derivative of piecewise function, and I will find the derivative of inverse function and implicit function. "

2. Adjust "9. Master the basic steps and methods of drawing a function, and know how to draw a simple function "to" 9. Know how to draw a simple function. "

3. Integral calculus of unary function

same

Four, multivariate function calculus

(A) changes in the content of the examination

1. New knowledge point: None

2. Adjust knowledge points: adjust "calculation of simple double integral on unbounded region" to "generalized double integral on unbounded region"

3. Delete knowledge points: None

(b) Changes in examination requirements

1. In the examination requirements, "5 ... can calculate simple double integrals on unbounded regions" is adjusted to "5 ... can understand and calculate simple generalized double integrals on unbounded regions"

Verb (abbreviation of verb) ordinary differential equation

same

linear algebra

I. Determinants

same

Second, the matrix

same

Third, the vector

same

Fourth, linear equations.

same

Eigenvalues and eigenvectors of verb (abbreviation of verb) matrix

same

Probability and mathematical statistics

I. Random events and probabilities

same

Second, random variables and their distribution

same

Three, multidimensional random variables and their distribution

(A) changes in the content of the examination

1. New knowledge point: None

2. Adjust knowledge points: adjust "probability density, edge density and conditional density of two-dimensional continuous random variables" to "probability density, marginal probability density and conditional density of two-dimensional continuous random variables".

3. Delete knowledge points: None

(b) Changes in examination requirements

1. In the examination requirements, "2. Understanding the concepts of independence and irrelevance of random variables and mastering the conditions of independence of random variables will be adjusted to 2. Understand the concepts of independence and irrelevance of random variables and master the conditions of independence of random variables. "

Fourth, the numerical characteristics of random variables

same

Five, the central limit theorem

same

Finally, I hope that the majority of candidates will review in strict accordance with the examination syllabus, and Du Wen Education sincerely wishes all candidates to achieve ideal results!