Postgraduate mathematics is a very important subject among many postgraduate majors, and it is very necessary for candidates who are preparing to take the postgraduate entrance examination for mathematics majors to understand what subjects are taken in postgraduate mathematics. This article will give you a detailed introduction to what subjects you need to take to graduate school for mathematics majors.
1. Overview of the postgraduate entrance examination for mathematics majors
The postgraduate examination of mathematics major mainly examines the comprehensive quality of candidates in basic knowledge of mathematics, mathematical thinking methods, and mathematical application ability. Postgraduate mathematics majors usually include courses such as mathematical analysis, advanced algebra, analytic geometry, ordinary differential equations, real variable functions, complex variable functions, probability theory and mathematical statistics.
2. Postgraduate Entrance Examination for Mathematics Majors
Mathematical analysis
Mathematical analysis is one of the basic subjects for the postgraduate entrance examination of mathematics majors, which mainly examines the mastery of the basic concepts, basic theorems and basic methods of mathematical analysis. The Mathematical Analysis exam usually covers real numbers and functions, limits and continuities, derivatives and differentiations, indefinite and definite integrals, series, differential calculus of multivariate functions, reintegration, curve integrals, and surface integrals.
Higher algebra
Advanced Algebra is another important subject for the postgraduate entrance examination of mathematics majors, which mainly examines the candidates' understanding and application ability of the basic concepts, basic theorems and basic methods of algebra. Advanced algebra exams typically include polynomials, determinants, matrices, vector spaces, linear transformations, Euclidean spaces, quadratic forms, and more.
analytic geometry
Analytic geometry is a compulsory subject in the postgraduate entrance examination of mathematics majors, which mainly studies the properties and transformations of geometric objects, as well as the relationship between geometric quantities and algebraic quantities. The analytic geometry exam usually includes plane and space Cartesian coordinate systems, vectors and their operations, plane and space geometry, geometric transformations, etc.
ordinary differential equation
Ordinary differential equations are an important subject in the postgraduate entrance examination of mathematics majors, which mainly studies the relationship between unknown functions and their derivatives. The content of the ordinary differential equation exam usually includes first-order differential equations, higher-order differential equations, linear differential equations, power series solutions, etc.
Real variable function
Real variable function is an elective subject in the postgraduate entrance examination of mathematics major, which mainly studies functions and their properties in the field of real numbers. The content of the real function exam usually includes set and point set topology, measure theory, measurable functions, integral theory, etc.
Complex variable functions
Complex variable function is another elective subject in the postgraduate entrance examination of mathematics majors, which mainly studies functions and their properties in complex number fields. The content of the complex variable function exam usually includes complex numbers and complex functions, analytic functions, integrals, series, holopure functions and subpure functions, etc.
Probability Theory and Mathematical Statistics
Probability theory and mathematical statistics is a compulsory subject in the postgraduate entrance examination of mathematics majors, which mainly studies mathematical models and statistical methods of random phenomena. The content of the probability theory and mathematical statistics exam usually includes random events and probability, random variables and their distributions, numerical characteristics of random variables, the law of large numbers and the central limit theorem, the basic concepts of mathematical statistics, parameter estimation, hypothesis testing, etc.
There are relatively many subjects that need to be examined in the postgraduate mathematics major, and candidates need to fully prepare and master the basic knowledge and methods of each subject. In the process of preparing for the exam, it is recommended that candidates pay attention to the learning and understanding of basic knowledge, and at the same time strengthen the practice of questions and the training of problem-solving skills. Through systematic review and practice, candidates can gradually improve their mathematical literacy and problem-solving ability, and lay a solid foundation for the postgraduate entrance examination of mathematics majors.