First, the subject test difference:
1. Linear Algebra: Mathematics 1, 2 and 3 all examine the subject of linear algebra, accounting for 22%. Judging from the examination outlines over the years, there is not much difference between one, two and three when taking linear algebra. The difference is that the first outline is more knowledge of vector space.
2. Probability theory and mathematical statistics: Mathematics II is not investigated, and Mathematics I and Mathematics III both account for 22%. Math 1 has more knowledge about interval estimation and hypothesis testing than Math 3, but there are still differences in the examination requirements for the knowledge appearing in Math 1 and Math 3 outlines. For example, Math I requires knowing the conclusion and application conditions of Poisson's theorem, but Math III requires mastering the conclusion and application conditions of Poisson's theorem.
3. Advanced Mathematics: Mathematics 1, 2, and 3 are all tested, with the largest proportion, with the number 1 and 3 accounting for 56% and the number 2 accounting for 78%.
Second, the difference between the contents of the test paper:
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; Chapter 12 Section 5 Don't 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 test of linear correlation of vector groups is vector space, and the first test of the combination of linear equations and spatial analytic geometry is also required.
Probability and mathematical statistics: 1, the basic concept of probability theory. 2. Random variables and their distribution. 3. Multidimensional random variables and their distribution. 4. The numerical characteristics of random variables. 5. Law of large numbers and central limit theorem. 6. Samples and sample distribution. 7. Parameter estimation. 8. Hypothesis test.
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, double integral and the application of double integral.
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, we don't test the equation until the double integral in chapter 10, while Fourier series is not tested in the series in chapter 12.
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 combination of vector space, linear equations and spatial analytic geometry in the linear correlation of digital three-parameter vector groups.
The contents of probability and mathematical statistics include: 1, the basic concept 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, among which students with number three do not adopt interval estimation in parameter estimation.
Third, the majors corresponding to the exams are different.
Mathematics is a student of science and engineering. The content of the exam includes advanced mathematics, linear algebra, probability theory and mathematical statistics, and the content of the exam is the most.
Mathematics is the second test for students applying for agronomy. The content of the test is only high number and linear algebra, and the high number is deleted more and is the least.
Math 3 is an exam for students who apply for economics. The contents of the examination are advanced mathematics, linear algebra and probability statistics. The high number part mainly focuses on the investigation of calculus, and there is no hypothesis test and confidence interval in probability statistics.
Fourth, the applicable disciplines are different:
A suitable subject of mathematics is:
1. Mechanics, mechanical engineering, optical engineering, instrument science and technology, metallurgical engineering, power engineering and engineering thermophysics, electrical engineering, electronic science and technology, information and communication engineering, control science and engineering, computer science and technology, civil engineering, water conservancy engineering, surveying and mapping science and technology, transportation engineering, ship and ocean engineering, aerospace science and technology, armament science and technology, nuclear engineering.
2. Which of the two disciplines, materials science and engineering, chemical engineering and technology, geological resources and geological engineering, mining engineering, oil and gas engineering, environmental science and engineering, has higher requirements for mathematics?
3. Management management science and engineering level discipline.
Mathematics II is applicable to the following subjects:
1. The first-class disciplines such as textile science and engineering, light industry technology and engineering, agricultural engineering, forestry engineering, food science and engineering are all two disciplines and majors.
2. two disciplines is a major with low requirements for mathematics in 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, and environmental science and engineering.
Math III: Applicable subjects are:
1. Applied Economics in Economics. Statistics, quantitative economics, two disciplines, a major.
2. Business administration, technical economy and management are two disciplines, and the major is the first-class discipline of business administration.
3. There are two disciplines, one is a major with higher requirements for mathematics in the first-level discipline of management, agriculture, forestry and economic management.
Five, the difference of difficulty:
Math 1 is the largest, Math 3 is the smallest, and Math 2 is relatively flexible because of its little content.