Chapter 1 Function, Limit and Continuity

Equivalent infinitesimal substitution, Lobida rule, Taylor expansion

Find the limit of a function

The concept of function continuity and the types of function discontinuity points

Judging the continuity of function and the type of discontinuity

Chapter two? Differential calculus of univariate function

The definition of derivative, the relationship between derivability and continuity

By defining the relationship between derivative, derivative and continuity of a point.

Monotonicity of function, extreme value of function

The monotonicity and extremum of functions are discussed.

The Properties of Continuous Functions on Closed Interval, Rolle Theorem, Lagrange Mean Value Theorem, Cauchy Mean Value Theorem and Taylor Theorem Differential Mean Value Theorem and Their Applications

Chapter three? Integral calculus of unary function

Integral upper bound function and its derivative

Variable limit integral derivative problem

Integral of rational function, rational formula of trigonometric function and simple unreasonable function

Calculate indefinite integral and definite integral of integrand which are rational function, rational trigonometric function and simple irrational function.

Chapter IV Multivariate Function Calculus

The existence of implicit function, partial derivative and total differential and the causal relationship between them.

Discussion on the existence and continuity of function limit at one point, the existence of partial derivative, the existence of total differential and the continuity of partial derivative, and the causal relationship between them

The Concept, Properties and Calculation of Double Integral

Calculation and application of double integral

Chapter five? ordinary differential equation

Simple application of first-order linear differential equation, homogeneous equation and differential equation, using differential equation to solve some application problems

Linear algebra test site:

The first chapter determinant

Operation of determinant

Calculating determinant of abstract matrix

Chapter two? matrix

matrix operation

Find the higher idempotent element of matrix

Elementary transformation of matrix, elementary matrix

Proof proposition related to elementary transformation

Chapter III Carrier

Properties and discrimination of linear correlation and uncorrelation of vector groups

Linear correlation of vector groups

Linear combination and linear representation

It is determine whether that quantity can be linearly represen by a vector group.

Chapter IV Linear Equations

Solution of basic solution system and general solution of homogeneous linear equations

Find the basic solution system and general solution of homogeneous linear equations

Chapter V Eigenvalues and Eigenvectors of Matrices

The properties of eigenvalues and eigenvectors of real symmetric matrices are transformed into diagonal matrix methods.

Concepts and properties of similarity transformation and similarity matrix

Judgment and inverse problem of similarity matrix

Chapter six? square

The concept of quadratic form

Find the matrix and rank of quadratic form

The concept of contract transformation and contract matrix

Mathematics II is mainly aimed at candidates majoring in agriculture, forestry, geology, mining and petroleum. The applicable enrollment majors are:

(1) All two disciplines in the first-level disciplines such as textile science and engineering, light industry technology and engineering, agricultural engineering, forestry engineering and food science and engineering.

(2) Among the first-class engineering disciplines such as materials science and engineering, chemical engineering and technology, geological resources and geological engineering, mining engineering, oil and gas engineering, environmental science and engineering, there are two disciplines with higher requirements for mathematics.

References:

20 18 Postgraduate Entrance Examination Outline Original: Mathematics II (Photo Edition)-Postgraduate Entrance Examination-China Education Online

/Kao _ Shi _ da _ gang/shuxue/20 1709/t 20 1709 15 _ 1554526 _ 3 . shtml