1. Advanced Mathematics:
Advanced mathematics is an important content in Mathematics 3 for postgraduate entrance examination. Including sequence and limit, function and limit, univariate function differential calculus, univariate function integral calculus, multivariate function differential calculus, multivariate function integral calculus and so on. Candidates need to master the basic definitions, theorems and calculation methods, and can apply them to solving problems.
2. Linear Algebra:
Linear algebra is also the key content of mathematics three for postgraduate entrance examination. Including vector and matrix, linear equations, vector space and linear transformation, eigenvalues and eigenvectors, quadratic form and positive definiteness. Candidates need to be familiar with the basic concepts and theories of linear algebra and be able to apply them flexibly to solving linear equations and vector spaces.
3. Probability theory and mathematical statistics:
Probability theory and mathematical statistics are another important part of Mathematics 3 for postgraduate entrance examination. Probability theory includes basic concepts, random variables, probability distribution, distribution of random variable functions, law of large numbers and central limit theorem.
Mathematical statistics include parameter estimation, hypothesis testing, variance analysis and correlation analysis. Candidates need to understand the basic theories and methods of probability theory and mathematical statistics, and can apply them to the analysis and judgment of practical problems.
4. Mathematical analysis:
Mathematical analysis also occupies a certain proportion in the third year of mathematics for postgraduate entrance examination. Including real number and function, limit and continuity, differential calculus of unary function, integral calculus of unary function, series and so on. Candidates need to be familiar with the basic concepts and principles of mathematical analysis, and master the calculus operation of unary functions and the convergence judgment of series.
5. Ordinary differential equations:
Ordinary differential equation is also one of the examination contents in Mathematics 3 for postgraduate entrance examination. Including first-order ordinary differential equations, higher-order ordinary differential equations, linear ordinary differential equations, existence and uniqueness of solutions of ordinary differential equations, etc. Candidates should master the basic methods, theorems and skills of solving ordinary differential equations and be able to solve some common ordinary differential equations independently.
6. Partial differential equation:
Partial differential equations are also the examination scope of mathematics three for postgraduate entrance examination. Including basic concepts, characteristic method, variable separation method, transformation method, boundary value problem and so on. Candidates need to understand the basic theory and solution methods of partial differential equations, and can be applied to modeling and solving practical problems.
To sum up, the investigation contents of Mathematics III for postgraduate entrance examination mainly include advanced mathematics, linear algebra, probability theory and mathematical statistics, mathematical analysis, ordinary differential equations and partial differential equations.
Candidates need to master the basic concepts, theories and problem-solving methods of these contents, and be proficient in solving problems. Through systematic study and practice, candidates can improve the preparation level of Math III, so as to better cope with the entrance examination of Math III.