It is a subject that studies the properties of geometric figures by algebraic method.
Analytic geometry includes vector and coordinate, trajectory and equation, plane and space straight line, cylinder, cone, revolution surface and quadric surface, quadric surface and quadric surface, etc.
2. Course name: Mathematical Analysis I-IV Mathematical Analysis I-IV Total class hours: 334 weeks: 4, 4, 6, 5 credits: 18 semester: subjects 1, 2, 3 and 4: compulsory preparatory course: no content introduction: Mathematical analysis is a basic course for all mathematics majors and applied mathematics majors.
It provides the method of analyzing and solving practical problems by using functions, which cultivates students' rigorous abstract thinking ability and lays the foundation for learning other disciplines.
3. Course name: Advanced Algebra I-II Total class hours: 65,438+098 weeks: 6,5 credits: 65,438+065,438+0 Starting semester: 2,3 subjects: compulsory lesson preparation: no content introduction: Advanced Algebra is a basic course for all mathematics majors and applied mathematics majors.
4. Course name: OrdinaryDifferentialEquation Total class hours: 72 weeks class hours: 4 credits: 4 semesters: 5 subjects: compulsory preparatory course: mathematical analysis Advanced algebra Content description: Ordinary differential equation, as a professional basic course, is one of the important channels for the combination of mathematical theory, especially calculus and practice.
5. Course name: plexAnalysis of complex variable function Total class hours: 72 weeks: 4 credits: 4 semesters: five subjects: compulsory preparatory course: advanced algebra of mathematical analysis Description: Complex variable function is a professional basic course, which is the basic course of function theory and the follow-up course of mathematical analysis.
The main contents of this course include complex number and complex variable function, analytic function, integral of complex variable function, power series representation of analytic function, Laurent expansion of analytic function, isolated singularity, residue theory and its application, * * shape mapping, analytic continuation and harmonic function.
6. Course Name: Probability Theory and Mathematical Statistics Probability Statistics Total class hours: 90 weeks class hours: 5 credits: 5 semester: Five compulsory preparatory courses: Mathematical Analysis Advanced Algebra Content Description: Probability Theory and Mathematical Statistics is a professional basic course, and this course is the only compulsory course in mathematics to deal with random phenomena. This course studies the statistical regularity and statistical inference of random phenomena. The purpose of setting up this course is to enable students to master the basic theories and methods of dealing with random phenomena and acquire the ability to solve and analyze some practical problems.
7. Course name: ElementaryMathematicsResearch Total class hours: 72 weeks class hours: 4 credits: 4 semesters: 6 subjects: compulsory preparatory course: mathematical analysis Advanced algebra Content Description: Elementary mathematical research is a professional basic course, which mainly includes elementary algebra and elementary geometry. It is an ancient and full of vitality, and it is a compulsory course for mathematics majors in normal universities.
Facing the new curriculum reform, this course systematically expounds the basic theories of elementary mathematics, including * * * and logic, number and formula theory, function, equation and inequality theory, axiomatic method and graphic deduction, geometric transformation, geometric vector structure and coordinate method, permutation and combination and probability statistics, and middle school mathematics problem-solving strategies.
8. Course name: ModernAlgebra Total hours: 72 weeks: 4 credits: 4 semesters: 6 subjects: compulsory preparatory courses: Introduction to the contents of advanced algebra: Modern algebra is a professional basic course, and modern algebra is an important branch of modern mathematics.
Modern algebra introduces the theory of groups, rings and fields and some specific groups, rings and fields.
9. Course name: Real analysis and functional analysis of real variable function Total class hours: 72 weeks class hours: 4 credits: 4 semesters: 6 subjects: compulsory preparatory courses: Introduction to the contents of advanced algebra: Real analysis and functional analysis is a professional basic course and an important basic analysis course for mathematics majors. It is an essential basic knowledge for students to further study other branches of analytical mathematics and scientific research. Through the study of real variable function, students can better master the basic mathematical tools of measurement and integration, especially the exchange of limit and integral order.
And to some extent, master the analysis method of set.
Functional analysis is pure mathematics and applied mathematics for studying and studying modern mathematics, numerical calculation of mathematical economy and modern engineering technology theory.
10. Course name: Total hours of differential geometry: 54 weeks' hours: 3 credits: 3 Starting semester: Five subjects: Elective preparatory courses: Mathematical analysis of ordinary differential equations Description: Differential geometry is a quality development course, a discipline that studies spatial forms with mathematical analysis as the main tool and a branch of geometry. Because differential geometry is a subject in science and technology and other natural sciences,
1 1. Course name: total class hours of topology: 54 weeks class hours: 3 credits: 3 semesters: 6 subjects: elective preparatory courses: Introduction to mathematical analysis: topology is a professional development course, which is the basic branch of mathematics. It studies the properties of geometric figures that remain unchanged under continuous deformation (that is, topological transformation), that is, topological properties.
At present, the concepts, methods and theories of topology have widely penetrated into many fields of modern mathematics and adjacent disciplines, and have been applied more and more importantly.
12. Course name: Equation in Mathematical Physics Total class hours: 36 weeks class hours: 2 credits: 2 semesters: 7 subjects: compulsory preparatory courses: Mathematical analysis, advanced algebra, differential equations Content description: Equation in Mathematical Physics is a professional development course.
It comprehensively uses previous mathematical knowledge to solve related practical problems, and it is a bridge between mathematical modeling and equation solving.
The main contents include the mathematical models of three most important partial differential equations (Laplace equation, heat conduction equation and wave equation) and the presentation of various definite solution conditions; Basic methods for solving partial differential equations: separation of variables, integral transformation (Fourier transform and Laplace transform), traveling wave method, basic solution and Green's function method, as well as two most commonly used special-cylindrical functions (Bessel equation, Bessel function properties and applications) and spherical functions (Legendre equation and Legendre function properties and applications).
13. Course name: total class hours of mathematical modeling: 54( 18+36) weeks: 1+2 credits: 3 semesters: five subjects: elective preparatory courses: mathematical analysis, advanced algebra, probability theory and mathematical statistics, and introduction to calculation methods: Mathematics.
It is mainly to cultivate students' ability and consciousness to solve practical problems by using mathematical knowledge comprehensively.
The main contents include general methods of mathematical modeling (elementary model), theories and methods of differential equation and difference equation models and their applications (population ecological model, dynamic economic model, dynamic system stability problem), pattern recognition model methods, theories and applications (algebraic method, probability and statistics method, artificial neural network method), and comprehensive decision-making model and application (analytic hierarchy process model).
14. Course name: OperationalResearch. Total class hours: 36 weeks: 2 credits: 2 semesters: 7 subjects: elective preparatory courses: advanced mathematics and linear algebra. Introduction: Operational Research is a quality development course, which mainly includes: a brief history of operational research, linear programming and target programming, integer programming, nonlinear programming, dynamic programming and integer programming.
15. course name: total class hours of discrete mathematics: 54 weeks class hours: 3 credits: 3 starting semester: 5 subjects: elective foundation course: advanced algebra of mathematical analysis content description: discrete mathematics is a professional development course. The purpose of this course is to introduce the basic concepts and principles of discrete mathematics and improve students' abstract thinking and logical reasoning ability.
16. course name: calculation method total class hours: 54 weeks class hours: 3 credits: 3 semesters: six compulsory preparatory courses: mathematical analysis, advanced algebra and differential equations. Introduction: Calculation method, also known as numerical analysis, is an extended professional course and a numerical calculation method to solve various mathematical problems.
The purpose of learning this lesson is to design an algorithm to find the approximate solution of the mathematical model.
17. Course name: MathematicaandMathematicalexperiments Total class hours: 36( 18+ 18) weeks: 1+ 1 credits: 3 semesters: 7 subjects: elective preparatory courses: mathematical analysis.
This course introduces about 65,438+05 mathematical experiments around the study of Mathematica software: the foundation of calculus, the calculation of pi, the approximation of optimal fraction, sequence and series, prime number, geometric transformation, motion without body, iterative solution of equation, line search of function extreme value, steepest descent line, the concept and generation of fractal, chaos, computer simulation, password, computer proof of elementary geometric theorem, etc.
18. course name: computer network. total hours of computer works: 54( 18+36) weeks: 1+2 credits: 3 semester: five courses: elective prerequisite courses: computer basics I-II, content introduction: computer network is a quality development course.
Mainly to let students master all kinds of computer network related knowledge, network design theory, design ideas, methods and skills, and understand the mainstream computer network protocols, network development trends and application prospects.
19. Course name: C language programming (CLanguage) Total class hours: 54(36+ 18) weeks class hours: 2+ 1 credit: 3 semesters: five subjects: compulsory preparatory courses: college computer basics I-II Content Description: C language programming is a quality development course.
It is a common programming language and the most widely used tool for programmers.
20. Course name: FuzzyMathematics Total class hours: 54 weeks: 3 credits: 2 semesters: 6 subjects: elective preparatory courses: mathematical analysis, advanced algebra, probability theory, mathematical statistics, discrete mathematics: Fuzzy mathematics is a quality development course, and fuzzy mathematics is a new subject developed on the basis of fuzzy theory, which is handled by mathematics.
The main contents include: the basic concept of fuzzy set, fuzzy pattern recognition, fuzzy clustering analysis, fuzzy comprehensive evaluation, set-valued statistics and degree analysis, comprehensive analysis, and the inverse problem of comprehensive evaluation.
Fuzzy mathematics expands the application field of mathematics.
2 1. Course Name: English for Mathematics Majors Total class hours: 54 weeks class hours: 3 credits: 2 Starting semester: 7 subjects: Elective preparatory courses: Mathematical analysis, advanced algebra, and college English Content Description: English for Mathematics Majors is a quality development course, which is often encountered by students when they pursue advanced studies in the field of mathematics, carry out mathematical retrieval or master computer software and scientific calculation.
Being familiar with specialized English for mathematics means mastering the language tools for learning mathematics and cultivating the quality of scientific translation.
22. Course Name: Partial Differential Equation Page 8/10
Total class hours: 54 weeks: 3 credits: 2 semesters: 7 subjects: elective preparatory course: mathematical analysis of ordinary differential equations in advanced algebra. Introduction: Partial differential equation is a quality development course, which is closely related to basic theories such as analysis and geometry in modern mathematics, and is also very important in natural sciences such as physics, mechanics, biology, chemistry and social sciences such as economy and finance.
23. Course name: total hours of competition mathematics: 54 weeks: 3 credits: 2 semesters: 7 subjects: elective foundation course: research content of middle school mathematics problem solving: competition mathematics is a quality development course. As a subject of mathematics education, Olympiad itself is not a branch of mathematics, but a specific mathematical category similar to middle school mathematics, college mathematics and interesting mathematics.
24. Course Name: Case Study of Mathematics Basic Education Total class hours: 54 weeks: 3 credits: 2 semester: 7 subjects: elective preparatory courses: educational psychology, introduction to teaching materials and methods of mathematics in middle schools: Case study of mathematics basic education is a quality development course, which mainly includes the analysis of the theme and background of mathematics education, the description (or demonstration) of mathematics education scenarios and the notes of mathematics education.
Mathematics courses for physics majors are:
1. Mathematical and physical methods
mathematical
Course number: 22 189906 Course number: Course nature: Professional compulsory course nature: Course content: Mathematics is the expression language of physics.
Complex variable function theory and mathematical physics equations are important contents of theoretical physics course: important mathematical foundation.
This course includes two parts: complex variable function theory and mathematical and physical equations.
The part of complex variable function theory introduces calculus, series expansion, residue and its application, integral transformation and so on.
Mathematical and physical equations include the introduction of several mathematical and physical equations commonly used in physics, the method of separating variables for solving mathematical and physical equations, legendre polynomials as the solution of Legendre equation, Bessel function as the solution of Bessel equation and its properties, and the basic knowledge of Green's function.
This course has the characteristics of abstraction and rigorous logical reasoning, and is closely related to physics and engineering. It is an essential basic knowledge of mathematics for science and engineering students.