The first exam content is divided into advanced mathematics, linear algebra, probability theory and mathematical statistics, and their scores are about 2: 1: 1.
First, the content of the exam
Advanced mathematics: function, limit, continuity, unary function calculus, vector algebra and spatial analytic geometry, multivariate function calculus, infinite series, ordinary differential equations. The latter three are just a minor or major question in the examination questions, or they don't appear alone at all, but are mixed with other contents. So the foundation is calculus.
Linear algebra: determinant, matrix, vector, linear equations, eigenvalues and eigenvectors of matrix, quadratic form. Linear algebra is the simplest of the three modules. As long as the matrix and vector are clear, nothing else is a problem.
Probability theory and mathematical statistics: random events and probability, random variables and their probability distribution, two-dimensional random variables and their probability distribution, numerical characteristics of random variables, law of large numbers and central limit theorem, basic concepts of mathematical statistics, parameter estimation and hypothesis testing. The real question of the probability part is basically one or two small questions plus a big question every year, which is not too difficult.
Second, review the guidance.
Postgraduate entrance examination has many mathematics contents, wide knowledge, strong comprehensiveness and high skill, which undoubtedly increases the difficulty of reviewing for candidates with poor mathematics foundation. The bad habits accumulated in the usual study may gradually prevail, which restricts the review efficiency and effect of candidates. So review should have some bad habits to lay a good foundation for future practice.
1. Pay more attention to skills than foundation;
2. The eye is high and the hand is low, just watching and not doing it;
3. Try to solve the problem, not to solve it;
4. Copy experience and dogmatism.
Postgraduate entrance examination is a selective proficiency test, which not only measures whether candidates have the necessary mathematical knowledge and ability, but also has obvious function of choosing the best and the worst. Therefore, only by mastering review skills and key points can we be in an invincible position.