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Graduate School Entrance Examination Mathematics 1 is the most difficult.
The content of counting one is about half more than that of counting two. The extra content is probability theory, triple integration of high numbers, surface division of curves, spatial analytic geometry, infinite series, and various small knowledge points, such as vector space of line algebra, Fourier series of high numbers, Euler equations, etc. The time and effort to review the knowledge points alone requires half as much as the number one is half that of the number two.
This means that when the second-ranked students are brushing up the questions to strengthen the questions, the first-round foundation of the first-ranked students is not over.
The average score of Mathematics 1 has always been the lowest. Some people may use the average score of the number two in a given year to prove that the number two is not easy. But this logic is problematic.
When using data for analysis and argumentation, it is known that it is necessary to discard unusually large or unusually small data (outliers), which will affect representativeness. For example, when the judges score, the highest score and the lowest score are usually removed in the end, and then the average value is taken.
The difference between mathematics 1, 2 and 3 is that it is applicable to different majors, the difficulty of the examination is different, and the content of the examination is also different, mathematics 1 is the most difficult, suitable for disciplines with higher requirements for mathematics in engineering, followed by mathematics 2 difficulty, suitable for disciplines with lower requirements for mathematics in engineering, and mathematics 3 has the least difficulty, mainly applicable to economics and management majors. The details are as follows:
1. Must use the subject major of Mathematics I.
All the second-level disciplines and majors in the first-level disciplines of engineering, such as 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, hydraulic engineering, surveying and mapping science and technology, transportation engineering, ship and ocean engineering, aeronautics and astronautics science and technology, weapons science and technology, nuclear science and technology, and biomedical engineering.
2. Must use the subject major of Mathematics II.
All the second-level disciplines and majors in the first-level disciplines such as textile science and engineering, light industry technology and engineering, agricultural engineering, forestry engineering, food science and engineering, etc.
3. Mathematics 1 or Mathematics 2 must be selected (determined by the enrollment unit).
In the first-level disciplines of engineering categories, such as materials science and engineering, chemical engineering and technology, geological resources and geological engineering, mining engineering, petroleum and natural gas engineering, environmental science and engineering, etc., mathematics 1 is selected for the secondary disciplines and majors with higher requirements for mathematics, and mathematics 2 is selected for those with lower requirements for mathematics.
4. Must use the subject major of Mathematics III.
All first-level disciplines in the field of economics.
The first-level disciplines of business administration and agriculture and forestry economic management in the category of management.
The first-level discipline of management science and engineering is awarded the degree of management.
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In general, Math 1 is more difficult, Math 1 has more scope to review, and the major of Math 1 has higher requirements for Math. However, the scope of the Math 2 exam is narrow, so the test is also deeper. Based on the past situation, general mathematics one is more difficult.
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The difference between Mathematics I and Mathematics II is mainly reflected in the scope of the examination, the content of the examination, the applicable majors, the applicable objects, and the enrollment direction.
The scope of the Mathematics I exam is higher mathematics, line algebra and probability and statistics, and Mathematics II only tests advanced mathematics and line algebra. The Mathematics I exam has a lot of content, including functions, determinants, probability distributions, limits, quadratic forms, etc., while the Mathematics II exam has relatively few contents, and the examination is relatively simple. Mathematics 1 is a science and engineering examination, and mathematics 2 is generally an agricultural examination.
The first test of postgraduate mathematics is advanced mathematics, linear algebra, probability theory and statistics, and the second entrance examination of postgraduate mathematics is advanced mathematics and linear algebra. Mathematics 1 involves a lot of test points, and the questions are relatively difficult.
For example, vector algebra and spatial analytic geometry, calculus of multivariate functions, infinite series, numerical characteristics of random variables, the law of large numbers and the central limit theorem, etc., will be examined, and these mathematics II will not be examined.
The content of the mathematics I high mathematics part of the exam includes limits, functions, continuity, vector algebra and spatial analytic geometry, unary function calculus, multivariate function calculus, ordinary differential equations, infinite series, etc., and the line algebra mainly examines matrices, determinants, linear equations, vectors, quadratic forms, eigenvalues and eigenvectors of matrices.
Applicable Majors:
Mathematics 1 is suitable for science and engineering majors, which have relatively high requirements for mathematics, and the main majors include engineering, management science and engineering, as well as all the secondary disciplines in the discipline, such as mechanical engineering, optical engineering, instrument science and technology, metallurgical engineering, electrical engineering, civil engineering, hydraulic engineering, biomedical engineering, etc.
Mathematics II is mainly applicable to agronomy majors, agriculture, forestry, land, mining, oil, etc. have relatively low requirements for mathematics, including textile science and engineering, light industry technology and engineering, agricultural engineering, food science and engineering, forestry engineering, materials science and engineering, chemical engineering and technology, etc., of course, there will be some colleges and universities with special requirements.
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<> Mathematics I and Mathematics II are both aimed at engineering candidates, but there are differences in specificity. For example, Mathematics 1 targets engineering majors such as mechanics, mechanical engineering, and optical engineering, while Mathematics 2 targets engineering majors such as textile science and engineering, light industry technology and engineering, and agricultural engineering. Therefore, in terms of the content of the exam, Mathematics I and Mathematics II are different.
Secondly, in terms of the difficulty of the exam, there is also a slight difference between Math 1 and Math 2.
Exam content. Looking through the syllabus of Mathematics 1, we can see that the content of the exam covered by Mathematics 1 is quite extensive, whether it is compared with Mathematics 2 or Mathematics 3, Mathematics 1 covers the most knowledge points. The Mathematics I exam consists of three sections: Advanced Mathematics, Linear Algebra, and Probability Theory and Mathematical Statistics.
In terms of the proportion of content distribution in the exam, advanced mathematics accounts for 56%, linear algebra accounts for 22%, and the remaining probability theory and mathematical statistics also account for 22%.
For Mathematics II, the content of the exam is less than that of Mathematics 1, which includes probability theory and mathematical statistics. Among them, the advanced mathematics part accounts for 78% of the total content, and the rest is linear algebra. Therefore, in terms of the scope of the exam, the knowledge points covered in Mathematics II are less than those in Mathematics 1, so the difficulty is reduced.
Difficulty. Generally speaking, Math 1 is slightly more difficult than Math 2. From the above comparison, we already know that this is due to the large range of knowledge points covered by Mathematics 1.
However, due to the fact that the knowledge points of Mathematics 2 cover a smaller range, the Mathematics 2 exam may be more detailed, which is something that students who take Mathematics 2 need to pay attention to and be careful.
Finally, through comparison, we can see that the difference between Mathematics I and Mathematics II is the different engineering majors targeted. Secondly, there is the difference in the syllabus and content of the exam, with Mathematics 1 having more content than Mathematics 2. Finally, the difficulty of Math 1 is slightly higher than that of Math 2.
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The differences between Mathematics I and Mathematics II are as follows:
1. Examination subjects
Linear Algebra: Mathematics.
The first and second examined the subject of linear algebra, and the proportion was 22%.
The difference between the first and second pairs of linear algebra parts is not very rental, but the difference is that there is more knowledge of the vector space part in the outline of number one.
Probability theory and mathematical statistics: Mathematics 2 is not examined, mathematics 1 and mathematics 3 both account for 22%, and number 1 has more knowledge of interval estimation and hypothesis testing than number 3, but for the knowledge that appears in the syllabus of number 1 and number 3, there is still a difference in the examination requirements.
Further Mathematics: Mathematics.
One and two are both examined, and the proportion is the largest, number.
The proportion of papers 1 and 3 is 56 per cent, and the proportion of number 2 is 78 per cent.
2. The content of the test paper
Mathematics 1 Advanced Mathematics: In the sixth edition of Tongji Advanced Mathematics, except for the Euler equation with * and Bernoulli's equation in Chapter 7 of differential equations, the rest of the equations with * are not tested; All "approximate" questions are not examined; Chapter 4 The use of the indefinite points and non-test points table; Chapter 9, Section 5 does not examine the system of equations; Chapter 12, Section 5 does not examine Euler's formula.
Linear Algebra: The textbook for Mathematics I is Linear Algebra 1-5 of Tongji 5th Edition: Determinants, Matrices and Their Operations, Elementary Transformations of Matrices and Their Systems of Equations, Linear Correlation of Vector Groups, Similarity Matrices and Quadratic Forms.
Among them, the linear correlation of the vector group is the vector space, and the combination of the linear equation system and the analytic geometry of the space is also examined.
Mathematics II Advanced Mathematics: In the sixth edition of Tongji Advanced Mathematics, except for the Bernoulli equation with an * in Chapter 7 of differential equations, the rest of the equations with an * are not tested; All "approximate" questions are not examined; Chapter 4 The use of the indefinite points and non-test points table; Chapter 8 Analytic Geometry and Vector Algebra of Spaces is not examined; Chapter 9, Section 5 does not examine the system of equations; Until Chapter 10 Application of Double Integral and Double Integral.
Linear Algebra: The textbook for mathematics II is Tongji 5th Edition Linear Algebra, Chapters 1-5: Determinants, Matrices and Their Operations, Elementary Transformations of Matrices and Their Equations, Linear Correlation of Vector Groups, Similarity Matrices and Quadratic Forms. Probability and Mathematical Statistics: Not tested.
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