1. Solve the limit problem by using Robida's law and equivalent infinitesimal, directly solve the limit or give a piecewise function to discuss the basic knowledge of mathematics and the problem of discontinuity points for basic continuous graduate students.
Second, use derivatives to find the maximum value, extreme value or prove inequality.
Third, the application of the mean value theorem in calculus proves a proposition or proof inequality about "one thing makes it true".
Fourthly, the calculation of double integral, including the calculation and application of double integral and triple integral.
5. Calculation of curve integral and surface integral.
The sixth power series problem, calculate the sum function of power series, and expand a known function into power series by indirect method.
Seven, ordinary differential equations. General solutions, special solutions and power series solutions of separable variable equations, first-order linear differential equations and Bernoulli equations.
Eight, solve linear equations, find the undetermined constants of linear equations, etc.
9. Diagonalization of matrix similarity, finding eigenvalues, eigenvectors, similarity matrices, etc.
X. probability theory and mathematical statistics. Find the distribution density of probability distribution or random variable and some numerical characteristics, point estimation and interval estimation of parameters.
Postgraduate entrance examination requirements can refer to the following points:
1. Understand the concepts of convergence and sum of convergent constant series, and master the basic properties of series and the necessary conditions for convergence.
2. Master the conditions of geometric series and convergence and divergence of series.
3. Master the comparison discrimination method and ratio discrimination method of positive series convergence, and use the root value discrimination method.
4. Master the Leibniz discriminant method of staggered series.
5. Understand the concepts of absolute convergence and conditional convergence of arbitrary series.
6. Understand the convergence domain of function term series and the concept of function.