Summary of mathematics knowledge points for postgraduate entrance examination in recent years, and s

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1.Functions, Limits and Continuity: It mainly examines the calculation of limits or known limits to determine constants in the original formula, discusses the continuity of functions and the types of judgment discontinuities, compares infinitesimal orders, discusses the number of zeros of continuous functions in a given interval or determines whether an equation has a real root in a given interval.

2.Unary Function Differentiation: It mainly examines the definition of derivatives and differentiations, the calculation of various function derivatives and differentiations, the use of Lobida's rule to find the limit of the infinitive, the extreme value of the function, the number of equations, the proof of the inequality of functions, the proof related to the median value theorem, the practical application of the maximum and minimum values in physics and economics, the study of functional properties and the depiction of function graphs by derivatives, and the asymptote of curves.

3.Integral science of unary functions: It mainly examines indefinite integrals, definite integrals and generalized integrals'Calculation, derivation of variable upper limit integrals, limits, etc., proof of integral median value theorem and integral properties, application of definite integrals, such as calculation of the large opening of the rotating surface area, the volume of the rotating body, the work of variable force, etc.

4.Differential calculus of multivariate functions: It mainly examines the existence of partial derivatives, differentiable, continuous judgments, first-order and second-order partial derivatives of multivariate functions and implicit functions, the application of extrema or conditional extrema of multivariate functions in economics, and the maximum and minimum values of binary continuous functions in bounded plane regions.

In addition, Math 1 requires the ability to calculate directional derivatives, gradients, tangents and normals of curves, and tangents and normals of surfaces.

5.Integralism of multivariate functions: including the calculation of double integrals in various coordinates, and the order of exchange of successive integrals. Number one also requires a mastery of triple integrals, curve integrals, and surface integrals, as well as related important formulas.

6.Differential Equations and Difference Equations: This paper mainly examines the general or special solutions of first-order differential equations, the special or general solutions of homogeneous and non-homogeneous equations of second-order linear constant coefficients, and the establishment and solution of differential equations. The basic concept of difference equation and the method of solving a linear equation with mesoconstant coefficients.

It is hoped that students can appropriately combine the real questions and simulated rolling questions in the process of preparing for the postgraduate entrance examination of mathematics and advanced mathematics, memorize the relevant knowledge and disadvantages of high mathematics through specific question types, and include specific problem-solving skills while memorizing the basic knowledge of theory. At the same time, it is recommended that students who can enroll in a tutorial class and use the teachers in it to ensure the efficiency of revision. Finally, I sincerely wish all students success in their admission to their dream universities.

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In my own opinion, the higher part is still the most important, and several of the proof types are a little more difficult, for example, using the Lagrange period, Cauchy, and the integral median theorem to prove the function problem. Of course, the content to be tested in the graduate school entrance examination must be seen.

Number 1: Advanced Mathematics, Linear Algebra, Probability Theory and Mathematical Statistics. Number 2: Advanced Mathematics, Linear Algebra. Number 3: Calculus, linear modulus algebra, probability theory and mathematical statistics.