Mathematics one
Advanced mathematics
I. Function, Limit and Continuity
(A) changes in the content of the examination
New knowledge point: None
Adjust knowledge points: adjust "the establishment of function relationship of simple application problems" to "the establishment of function relationship"
Delete knowledge point: 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
New knowledge point: None
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"
Delete knowledge point: 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
New knowledge point: added "express and calculate the center of mass with definite integral"
Adjust knowledge points: None
Delete knowledge point: 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
New knowledge point: None
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"
Delete knowledge point: 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
New knowledge point: None
Adjust knowledge points: None
Delete knowledge point: 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
New knowledge point: None
Adjust knowledge points: None
Delete knowledge point: 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
New knowledge point: None
Adjust knowledge points: None
Delete knowledge point: 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
New knowledge point: None
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"
Delete knowledge point: 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
New knowledge point: None
Adjust knowledge points: None
Delete knowledge point: 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
New knowledge point: None
Adjust knowledge points: None
Delete knowledge point: 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
New knowledge point: None
Adjust knowledge points: None
Delete knowledge point: 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 ii
Advanced mathematics
I. Function, Limit and Continuity
(A) changes in the content of the examination
New knowledge point: None
Adjust knowledge points: adjust "the establishment of function relationship of simple application problems" to "the establishment of function relationship"
Delete knowledge point: 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
New knowledge point: None
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"
Delete knowledge point: 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
New knowledge point: added "express and calculate the center of mass with definite integral"
Adjust knowledge points: None
Delete knowledge point: 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
New knowledge point: None
Adjust knowledge points: None
Delete knowledge point: 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
A new knowledge point: orthogonal normalization method of inner product linear independent vector group vectors
Adjust knowledge points: None
Delete knowledge point: 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
New knowledge point: None
Adjust knowledge points: None
Delete knowledge point: 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 three
calculus
I. Function, Limit and Continuity
(A) changes in the content of the examination
New knowledge point: None
Adjust knowledge points: adjust "the establishment of function relationship of simple application problems" to "the establishment of function relationship"
Delete knowledge point: 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
New knowledge point: None
Adjust knowledge points: integrate the concepts and algorithms of derivative with those of differential.
Delete knowledge point: 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
New knowledge points: properties of solutions of linear differential equations and structural theorems of solutions
Adjust knowledge points: None
Delete knowledge point: 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
New knowledge point: None
Adjust knowledge points: None
Delete knowledge point: 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
New knowledge point: None
Adjust knowledge points: None
Delete knowledge point: 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
New knowledge point: None
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".
Delete knowledge point: 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
New knowledge point: None
Adjust knowledge points: None
Delete knowledge point: 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 iv
calculus
I. Function, Limit and Continuity
(A) changes in the content of the examination
New knowledge point: None
Adjust knowledge points: None
Delete knowledge point: 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
New knowledge point: None
Adjust knowledge points: integrate the concepts and algorithms of derivative with those of differential.
Delete knowledge point: 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
New knowledge point: None
Adjust knowledge points: adjust "calculation of simple double integral on unbounded region" to "generalized double integral on unbounded region"
Delete knowledge point: 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