For students majoring in mathematics, the mathematics examination for master's degree is very important. Let me introduce the main contents of the postgraduate mathematics examination.
First, mathematical analysis.
Mathematical analysis is the most important part of the postgraduate mathematics examination, which has a certain proportion every year. Mainly from the limit, calculus, series and other aspects to investigate. We should not only master the understanding and application of the basic concepts and principles of mathematical analysis, but also be able to apply knowledge points to specific problems.
Second, linear algebra.
Linear algebra is another important direction of postgraduate mathematics examination, and it is also one of the compulsory courses for mathematics majors. This paper mainly examines students' understanding of vectors and matrices, and their mastery of linear space and linear transformation. Students need to be familiar with the basic operations of matrices, including determinant calculation and solving linear equations.
Third, probability theory and mathematical statistics
Probability theory and mathematical statistics, as a very important part of the mathematics examination for master students, are often examined knowledge points, such as random variables, probability distribution, parameter estimation, hypothesis testing and so on. At the same time, it is also very important to understand the application of mathematical statistics in reality.
Fourth, ordinary differential equations
Ordinary differential equation is also a difficult point in mathematics examination for professional masters. Knowledge of differential equations and differential equations with constant coefficients is required. From one dimension to high dimension, variational methods and common algorithms derived from initial value problems also need to be mastered.
Verb (abbreviation of verb) advanced algebra
Higher algebra is based on linear algebra to further deepen understanding. Need to master more advanced knowledge, such as field theory, homomorphism and ideal, coding theory and so on. The exam will involve knowledge about vector space and complex matrix calculation.
In a word, it is very important for students majoring in mathematics to take the math exam for master's degree. In the process of preparing for the exam, we should focus on learning the relevant knowledge points of mathematical analysis, linear algebra, probability theory, mathematical statistics and ordinary differential equations, and constantly strengthen our mathematical thinking ability.