The related professional courses offered in the teaching of mathematics education in the department of mathematics are: 3 basic courses, including: mathematical analysis, advanced algebra and analytic geometry; There are 7 specialized courses, including: real variable function theory, complex variable function theory, probability theory and mathematical statistics, ordinary differential equations, mathematical models, elementary mathematical research and mathematical teaching methods; Specialized elective courses include: elementary number theory, modern algebra, mathematical software, fuzzy mathematics, operational research, functional analysis, etc. Other courses with psychopedagogy include college English, philosophy, Maozong, middle school, ideological education and other political and historical courses.

mathematical analysis

An important basic course, mainly teaching limit theory, one-variable function calculus, infinite series calculus, multivariate function calculus and other systematic knowledge. Through the teaching of this course, students can correctly understand and master the basic concepts of mathematical analysis, basically master the demonstration methods in mathematical analysis, and acquire more skilled calculus skills and preliminary application ability, which will lay the necessary foundation for further learning the follow-up courses such as complex variable function theory, differential equation, probability theory and mathematical statistics, real variable function theory, and further understanding middle school mathematics.

advanced algebra

Course Description: Advanced algebra is one of the important basic courses for college mathematics majors, and it is the continuation and improvement of middle school algebra. It consists of polynomial theory and linear algebra. Through the study of this course, students not only master the relevant knowledge of advanced algebra, but also pay attention to cultivating students' abstract thinking ability and strict logical reasoning ability.

Advanced algebra is a general term for the development of algebra to an advanced stage, including many branches. Higher algebra offered by universities now generally includes linear algebra and polynomial algebra.

Analytic geometry

Course Description: This course is one of the main basic courses in our college, mainly teaching the basic properties of vector algebra, spatial straight line, plane, cone, revolution surface, conic curve and quadric surface. Through the teaching of this course, students can lay the necessary foundation for learning other courses and deal with geometric problems in practical work on the basis of a higher theoretical level.

ordinary differential equation

Course Description: This course is one of the compulsory basic courses for mathematics majors. The main content is to discuss the basic theory and solution methods of ordinary differential equations. It is not only theoretical, but also widely used in many fields such as natural science, technical science, medicine, economics and sociology. Through the study of this course, students can understand the basic theory of ordinary differential equations, master the solution methods of various equations, initially cultivate the basic ideas and methods of mathematical modeling, and provide necessary mathematical knowledge for subsequent courses.

real variable function

Course Description: This course mainly teaches the basic concepts of set and point set, Lebesgue measure in N-dimensional space, Lebesgue integral, geometric properties of L2-type space and other basic knowledge of real variable function theory.

Probability and mathematical statistics

Course Description: Through the teaching of this course, students can master the knowledge of classical probability skillfully, master the basic knowledge and methods of dealing with random phenomena initially, and lay the foundation for further learning modern mathematics knowledge. It is a unique and active branch of mathematics. On the one hand, it has a unique research theme, its own unique concepts and methods, rich content and profound achievements. On the other hand, it is closely related to other disciplines and is an important part of modern mathematics. Due to its rapid development and wide application in recent years, it has developed into an independent first-class discipline.

function of a complex variable

Prerequisite course requirements: mathematical analysis.

Course Description: Complex function theory is an important basic course for undergraduate mathematics majors, and its theories and methods are widely used in other fields of mathematics, as well as physics, mechanics, engineering technology and other fields. Through the teaching of this course, students can master the basic theory and methods of complex variable function theory and gain the ability to analyze and solve problems independently. At the same time, it is helpful for students to deeply understand some middle school mathematics contents related to this course and guide middle school mathematics teaching.

mathematical model

Course Description: This course discusses the whole process and basic methods of establishing mathematical models, mainly involving mathematical models in non-physical fields such as economy and management, society and humanities, industry and technology, ecology and environment, sports health and medical treatment, aiming at cultivating students' mathematical ability to solve practical problems, intuitive ability to see through problems and application ability of mathematical knowledge and modern technical means.

Elementary mathematics research

Prerequisite course requirements: elementary mathematics.

Course Description: This course appropriately deepens and broadens some key contents of middle school algebra, systematically summarizes methods and introduces some new methods. This paper discusses the method of solving problems and tries to solve elementary algebra problems with the guidance of advanced mathematics. Through the teaching of this course, students can be familiar with and master the basic content, structure and problem-solving skills of middle school teaching, and improve their ability to analyze and study middle school mathematics textbooks.

Mathematics teaching method

Content abstract: Mathematical teaching method analyzes the teaching methods of middle school textbooks (including textbooks and teachers' books), and its goal is to lay a foundation for normal college students to be competent in teaching. This course makes a modular analysis of middle school textbooks from four aspects: teaching objectives, teaching contents, mathematical thinking methods, and understanding and handling of textbooks, so as to help students in normal universities master textbooks better. Among them, "mathematical thinking methods" provide materials for the teaching of mathematical thinking methods, and "textbook understanding and handling" includes the understanding and use of teachers' books, and its content is to explain and handle teachers' books. It reveals the brand-new concept of mathematics education in the 2 1 century, inherits and develops the fine tradition of Chinese mathematics education, and meets the needs of the new round of basic education curriculum reform. Aiming at the practical problems of middle school mathematics education, this paper studies the basic laws of middle school mathematics education in order to guide students' mathematics teaching and improve their comprehensive ability. Through the study of this course, students can understand and master the basic theory of contemporary mathematics education, make clear the purpose of mathematics teaching and the mode of mathematics education, learn to write teaching plans and go to the podium. Initially acquire the ability to analyze and process middle school textbooks and corresponding teaching.

Mathematics teaching method is one of the branch teaching methods to study the principles and methods of mathematics teaching. Mathematics teaching method is produced, formed and developed with the rise of normal education. At present, mathematics teaching methods are mostly about the research of mathematics teaching methods in primary and secondary schools, and the research of mathematics teaching methods in colleges and universities is still in its infancy. Mathematics teaching method is not only a theoretical subject, but also a very practical subject. Generally, there are two research methods: ① Summarize the effective and advanced mathematics teaching experience, raise it to the theoretical level, and then guide the mathematics teaching practice. (2) In view of the problems that still exist at present, carry out investigation and study, design the best concrete scheme to solve the problems, carry out typical experiments, sum up experience and gradually popularize it, and finally rise to theory.

elementary number theory

Course Description: This course systematically teaches the basic knowledge of elementary number theory. The main contents include: integer, indefinite equation, congruence, congruence formula, square residue, primitive root and index, continued fraction, algebraic number and transcendental number, number theory function and prime number distribution.

It is a branch of mathematics that studies the laws of numbers, especially the properties of integers. It is one of the oldest branches of number theory. It takes arithmetic as its main research method, and its main contents include integer divisibility theory, congruence theory, continued fraction theory and some special indefinite equations. In other words, elementary number theory is to study number theory with elementary and simple methods. In addition, there are analytic number theory (using analytic methods to study number theory) and algebraic number theory (using algebraic structure to study number theory).

In ancient China, brilliant achievements were made in the study of elementary number theory, which were recorded in ancient literature, such as Zhou Bian Shu Jing, Sun Zi Shu Jing, Zhang Qiujian Shu Jing, Shu Shu Jiu Zhang and so on. Sun Tzu's theorem predates Europe by 500 years. This theorem is often called China's remainder theorem in the west, and Qin's technique of seeking greatness and broadening is also famous all over the world. Elementary number theory is not only the basis of learning pure mathematics, but also an important tool for many disciplines. Its applications are various, such as computer science, combinatorial mathematics, cryptography, information theory and so on. For example, public key system is an important application of number theory in cryptography.

Fermat has made many achievements in the field of classical number theory. For example, he proposed the infinite descent method to prove that indefinite equations have no solution, and introduced fermat number.

Modern algebra

Course Description: This course mainly teaches mapping and algebraic operations, homomorphism and isomorphism, and factor decomposition in groups, rings, fields and whole rings. Through the teaching of this course, students can master the preliminary theories and methods, so as to deeply understand the contents of algebra in middle schools and lay the foundation for further study and improvement.

mathematical software

Prerequisite: advanced mathematics.

Content abstract: Mathematical software is an optional course for four-year mathematics and applied mathematics majors. This paper mainly introduces the use of a common mathematical software (such as Maple, Mathematica, Matlab), and illustrates the role of computers and mathematical software in mathematics teaching and research through examples. It provides a favorable tool for formula derivation and numerical calculation of mathematics professional courses (such as mathematical analysis, advanced algebra, mathematical statistics, etc.). ).

fuzzing mathematics

Prerequisite: Mathematical modeling, etc.

Fuzzy mathematics, also known as fuzzy mathematics, is a mathematical theory and method to study and deal with fuzzy phenomena.

functional analysis

Prerequisite course requirements: mathematical analysis, etc.

Course Description: This course mainly teaches distance space and topological space, normed linear space, bounded linear operator, Hilbert space, topological linear space and Banach algebra.

Algebra, geometry and analytical mathematics are the three basic disciplines of mathematics, and the occurrence and development of each branch of mathematics are basically around these three disciplines.