1 calculus

Calculus, a mathematical concept, is a branch of higher mathematics that studies the differential and integral of functions and related concepts and applications.

It is a basic subject of mathematics, including limit, differential calculus, integral calculus and its application. Differential calculus, including the calculation of derivatives, is a set of theories about the rate of change.

It makes the function, velocity, acceleration and curve slope can be discussed with a set of universal symbols. Integral calculus, including the calculation of integral, provides a general method to define and calculate area and volume.

2. Linear algebra

Linear algebra is a branch of mathematics, and its research objects are vectors, vector spaces (or linear spaces), linear transformations and linear equations with finite dimensions.

Vector space is an important subject in modern mathematics. Therefore, linear algebra is widely used in abstract algebra and functional analysis; Through analytic geometry, linear algebra can be expressed concretely.

The theory of linear algebra has been extended to operator theory. Because the nonlinear model in scientific research can usually be approximated as a linear model, linear algebra is widely used in natural science and social science.

3. Probability theory

The main contents of this book include events and probability, conditional probability and independence, random variables and their distributions, random vectors and their distributions, numerical characteristics and characteristic functions, laws of large numbers and central limit theorems. Each chapter is equipped with appropriate exercises with different difficulties, and the answers or tips of the exercises are attached at the end of the book for readers' reference.

This book is readable, and can be used as a teaching book for independent colleges or students with a considerable level, and also as a reference book for students of other majors. In order to meet the needs of students at different levels, the contents of this book are divided into compulsory parts and elective parts (plus * parts), and the exercises are divided into two groups (A) and (B), with Group B being slightly more difficult.

4. Mathematical statistics

Mathematical statistics is a branch of mathematics, which is divided into descriptive statistics and inferential statistics. Based on probability theory, it studies the statistical laws of a large number of random phenomena.

The task of descriptive statistics is to collect data, sort out and group them, compile a frequency distribution table, draw a frequency distribution curve and calculate various characteristic indexes to describe the concentration trend, deviation trend and skewness of data frequency distribution.

Inference statistics is based on descriptive statistics, and infers and predicts the population according to the regularity summarized by sample data.

Extended data:

Postgraduate entrance examination mathematics enrollment major:

According to the different requirements of engineering, economics and management disciplines and majors for graduate students' mathematical knowledge and ability, there are three kinds of mathematical examination papers for graduate entrance examination, of which Math I and Math II are engineering and Math III is economics and management. The types of test papers that must be used for enrollment majors are as follows:

First, you must use math I as your enrollment major.

1, 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, network engineering, electronic information engineering,

Computer science and technology, civil engineering, surveying and mapping science and technology, transportation engineering, ship and ocean engineering, aerospace science and technology, armament science and technology, nuclear science and technology, biomedical engineering and other 20 first-class disciplines, all of which are two disciplines majors.

2, awarded the engineering degree of management science and engineering discipline.

Second, you must use the enrollment major of Mathematics II.

Textile science and engineering, light industry technology and engineering, agricultural engineering, forestry engineering, food science and engineering are all two disciplines majors.

Three, you must choose a math or math two enrollment major (decided by the admissions unit).

Among the first-class engineering disciplines, such as materials science and engineering, chemical engineering and technology, geological resources and geological engineering, mining engineering, oil and gas engineering, environmental science and engineering, there are two disciplines. Whoever has higher requirements for mathematics should choose mathematics as the major and mathematics as the minor.

Fourth, we must use the enrollment major of Mathematics III.

1, the first-level discipline of economics.

2, management business administration, agriculture and forestry economic management level discipline.

3. First-class discipline of management science and engineering, with a degree in management.