What is the difference between the contents of the first, second and third exams for postgraduate mathematics?

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1. Mathematics 1

Advanced Mathematics: Chapter 7 of Advanced Mathematics in Tongji Sixth Edition is not tested except Euler Equation and Bernoulli Equation marked with *; All "approximate" questions are not tested; The fourth chapter is the use of indefinite integral, without integral table; Chapter 9, section 5, the case of not taking the equation test; Section 5 of Chapter 12 does not test Euler's formula;

Linear Algebra: The textbook of mathematics is Tongji 5th Edition Linear Algebra 1-5: determinant, matrix and its operation, elementary transformation of matrix and its equations, linear correlation of vector groups, similar matrix and quadratic form. Among them, the first vector space with linear correlation of vector groups and the first combination of linear equations and spatial analytic geometry should also be tested;

Probability and mathematical statistics: 1, basic concepts of probability theory 2, random variables and their distribution 3, multidimensional random variables and their distribution 4, numerical characteristics of random variables 5, law of large numbers and central limit theorem 6, samples and sampling distribution 7, parameter estimation 8, hypothesis testing

2. Mathematics II

Advanced Mathematics: Chapter 7 of Advanced Mathematics in Tongji Sixth Edition is not tested except Bernoulli equation marked with *; All "approximate" questions are not tested; The fourth chapter is the use of indefinite integral, without integral table; Don't take chapter 8, spatial analytic geometry and vector algebra; Chapter 9, section 5, the case of not taking the equation test; Until the tenth chapter, the application of double integral and multiple integral will not be tested later.

Linear Algebra: The textbook of mathematics is Tongji Fifth Edition Linear Algebra. Chapter 1-5: Determinants, matrices and their operations, elementary transformation of matrices and their equations, linear correlation of vector groups, similar matrices and quadratic forms.

Probability and mathematical statistics: no test.

3. Mathematics III

Advanced Mathematics: All the advanced mathematics with * in Tongji Sixth Edition will not be tested; All "approximate" questions are not tested; In chapter 3, the application of differential mean value theorem and derivative does not test curvature; The fourth chapter is the use of indefinite integral, without integral table; The application of indefinite integral in physics and the arc length of curve in chapter 6. Chapter 7: Differential equation does not test the irreducible higher-order differential equation, and supplements the difference equation. Don't take Chapter 8, Spatial Analytic Geometry and Vector Algebra. In the fifth section of chapter 9, the equation is not tested until the tenth chapter of double integral, and the twelfth chapter of series does not test Fourier series;

Linear Algebra: The reference textbook for mathematics is Tongji Fifth Edition Linear Algebra, chapter 1-5: determinant, matrix and its operation, elementary transformation of matrix and its equation, linear correlation of vector group, similar matrix and quadratic form. The linear correlation of digital three-parameter vector groups, the combination of linear equations, the vector space in spatial analytic geometry;

The contents of probability and mathematical statistics include:

1, basic concept of probability theory 2, random variable and its distribution 3, multi-dimensional random variable and its distribution 4, numerical characteristics of random variable 5, law of large numbers and central limit theorem 6, sample and sampling distribution 7, parameter estimation, in which interval estimation is not adopted for classmate parameter estimation of number three.

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