For many students who are going to graduate school, mathematics is undoubtedly a big mountain they have to face. Whether it is science and engineering or economic management, mathematics is one of the compulsory subjects. So, what is included in the graduate school entrance examination mathematics?What knowledge points do candidates need to master?
Since I went ashore for the graduate school entrance examination, there have always been juniors and juniors who have consulted me about various aspects, such as what is included in the mathematics for the graduate school entrance examinationToday, as a "person who has come over", I will officially share with you my experience on the road to graduate school.
1. Advanced Mathematics:
Advanced mathematics is the foundation of postgraduate mathematics, mainly including functions, limits, continuity, calculus of unary functions, vector algebra and spatial analytic geometry, calculus of multivariate functions, infinite series, ordinary differential equations, etc. These knowledge points are an important cornerstone for constructing the knowledge system of mathematics for postgraduate entrance examinations.
As for the registration of classes, I chose to do soGaotu Postgraduate Entrance ExaminationOnline classes, they are the main lecture + two lectures of the dual-teacher teaching mode, I took the finance 431 comprehensive, in the summer vacation with the full class, and later transferred to 396, I transferred to Tianjin University for a master's degree in finance. Their course is still very good, the main teacher's knowledge points are very transparent, the content is comprehensive, and not only limited to textbooks, the teacher often talks about the key knowledge of each class when it is combined with the current hot topics, to help us expand our thinking, enrich the knowledge system, and enhance the professional textbook answering skills.
1.Functions, Limits and Continuous:
The concept, properties, and operations of functions;Definition, properties and calculation methods of limits;The concept, nature, and application of continuity.
2.Calculus of Unary Functions:
The concept, properties and calculation of derivatives and differentials;The median value theorem and its applications;The concept, properties and calculation of integrals;Applications of Differentiation and Integration.
3.Vector Algebra and Spatial Analytic Geometry:
The concept, properties and operations of vectors;Equations for planes and straight lines and their applications;Equations for spatial surfaces and curves and their applications.
4.Calculus of Multivariate Functions:
Partial derivatives, total differentiation, multivariate function integration and their applications;Extrema and maxima of multivariate functions.
5.Infinite series:
The concept, properties and convergence discriminant of several series;The concept, properties, and applications of power series.
6.Ordinary Differential Equations:
The concept, properties and solutions of ordinary differential equations;Applications of ordinary differential equations.
2. Linear Algebra:
Linear algebra is another important part of postgraduate mathematics, which mainly includes determinants, matrices, vectors, systems of linear equations, eigenvalues and eigenvectors of matrices, quadratic forms, etc. These knowledge points are widely used in science and engineering and economic management postgraduate examinations.
1.Determinant:
Definition, properties and calculation of determinants;Kramer's Law and its Applications.
2.Matrix:
The concept, properties and operations of matrices;The concept, properties and methods of inverse matrices;The rank of the matrix and how it is calculated.
3.Vector:
The concept, properties and operations of vectors;Linear correlation of vector groups and their discriminant methods;The rank of a vector group and how to find it.
4.System of Linear Equations:
The concept, properties, and solutions of linear equations;Applications of systems of linear equations.
5.Eigenvalues and eigenvectors of matrices:
The concept, properties and methods of eigenvalues and eigenvectors;Diagonalization of matrices and their applications.
6.Quadratic type:
The concept, properties and standard form of quadratic form;The positive definite nature of quadratic forms and their discriminant method.
3. Probability Theory and Mathematical Statistics
Probability theory and mathematical statistics is the third part of the postgraduate mathematics, which mainly includes random events and probability, random variables and their distributions, numerical characteristics of random variables, the law of large numbers and the central limit theorem, the basic concepts of mathematical statistics, parameter estimation and hypothesis testing. These knowledge points occupy an important position in the postgraduate examination of economic management.
1.Random Events & Probabilities:
The concept, nature and operation of random events;The definition, nature of probability, and how it is calculated.
2.Random variables and their distributions:
The concept, nature and classification of random variables;Distributions of common discrete and continuous random variables and their applications.
3.Numerical characteristics of random variables:
The concepts, properties, and applications of mathematical expectations, variance, covariance, and correlation coefficients.
4.The Law of Large Numbers and the Central Limit Theorem:
The concept, properties, and applications of the law of large numbers and the central limit theorem.
5.Basic Concepts of Mathematical Statistics:
The concept, nature and relationship between the population and the sample;The concept, properties and application of statistics.
6.Parameter estimation and hypothesis testing:
Methods of point estimation and interval estimation and their applications;The basic ideas and methods of hypothesis testing and their applications.
What is included in the Mathematics for Graduate School Entrance Examination?The above is a little experience and experience that I have summed up on the road to graduate school, and I hope it can be helpful to the younger students who are preparing for the graduate school entrance examination. I hope you all have a smooth disembarkation!