What are the materials for graduate school entrance exams in mathematical analysis and advanced alge

Advanced Algebra: 1. Textbook - Peking University Third Edition (designated reference book of many schools), which can be accompanied by a book of exercises to solve. 2. Tutorial book - the essence of advanced algebra problem solving, advanced algebra postgraduate examination lesson plan.

Mathematical analysis: 1. Textbook - Fudan University (Chen Jixiu's, which is also the designated reference book of many schools), exercise solutions. 2. Tutorial book - Typical problems and methods in mathematical analysis (Pei Liwen), the essence of mathematical analysis problem solving.

The main thing is to read more textbooks and study more by yourself.

Applied mathematics is a discipline that uses mathematical methods to solve practical problems, and has applications in the fields of economics and finance, engineering science and technology.

The major of applied mathematics cultivates high-level professionals who master the basic theories and methods of mathematical sciences, have the ability to use mathematical knowledge and use computers to solve practical problems, receive preliminary training in scientific research, and can engage in research and teaching in the fields of science and technology, education and economics, or engage in practical application, development research and management in the production, operation and management departments.

This major mainly learns the basic theories and methods of mathematics and applied mathematics, receives basic training in mathematical models, computers and mathematical software, has good scientific literacy, and initially has the basic ability of scientific research, teaching, solving practical problems and developing software.

Graduates are expected to acquire knowledge and competencies in the following areas:

1. Have a solid foundation in mathematics, receive relatively strict training in scientific thinking, and initially master the thinking methods of mathematical science.

2. Have the initial ability to apply mathematical knowledge to solve practical problems, especially to establish mathematical models, and understand a certain application.

3.Proficient in the use of computers (including common languages, tools and some mathematical software) and the ability to write simple applications.

4. Understand the relevant policies and regulations of national science and technology.

Applied mathematics. 5. Understand some of the new developments and applications of the mathematical sciences.

6.Have strong language skills, master the basic methods of data inquiry, literature retrieval and the use of modern information technology to obtain relevant information, and have certain scientific research and teaching ability.

Main subject: Mathematics.

Main courses: Analysis, Algebra, Geometry, Probability Theory, Physics, Mathematical Models, Mathematical Experiments, Computer Fundamentals, Numerical Methods, History of Mathematics, etc., as well as basic courses selected according to the application direction.

The main practical teaching links: including computer internship, production practice, scientific research training or graduation**, etc., generally arranged for 10 20 weeks.

Duration: 4 years.

Degree awarded: Bachelor of Science.

Related majors: Information and Computing Science, Statistics.

Mathematics and Applied Mathematics (Teacher Training).

180 minutes. The duration of the postgraduate mathematics test is 3 hours, which is 180 minutes. Postgraduate mathematics is divided into mathematics.

1. Mathematics. 2. Mathematics 3, the mathematics subjects tested in different majors are different.

Choose to fill in the blanks in 40-60 minutes and not more than 60 minutes; The answer to the question takes 80-120 minutes to complete, and cannot exceed 120 minutes. Students with strong enough ability can complete it in 120 minutes (40+80) and leave 60 minutes for examination; Most people don't need to leave time for the examination, and it is okay to complete it in 180 minutes (60+120).

Advanced algebra is a general term for the development of algebra to an advanced stage. In detail, when elementary algebra discusses binary and ternary systems of equations and studies systems of equations that are more than quadratic and can be converted into quadratic, it is called advanced algebra when it continues to develop in these two directions and develops to the stage where a system of linear equations (also called linear equations) is discussed at the same time as a system of linear equations with a higher number of unknowns. Advanced algebra is a general term for the development of algebra to an advanced stage, which is a necessary basic course for the application of mathematics in other disciplines, and is also the core course of mathematical accomplishment.

I think it's just as hard. Because analysis and algebra can be graded from low to high, more and more abstract, and the point of view is getting higher and higher.

Mathematical Analysis: Mainly includes calculus and series theory. Calculus is the foundation of advanced mathematics and has a wide range of applications, basically all fields involving functions require knowledge of calculus.

In series, Fourier series and Fourier transform are mainly used in the field of signal analysis, including filtering, data compression, power system monitoring, etc., and the manufacture of electronic products is inseparable from it.

Real Variable Function (Real Analysis): One of the enhanced versions of mathematical analysis. It is mainly used in fields such as economics that focus on data analysis.

Complex Variable Functions (Complex Analysis): Mathematical Analysis Enhanced Edition II. A widely used discipline has a wide range of applications in aeronautical mechanics, fluid mechanics, solid mechanics, information engineering, electrical engineering and other fields, so engineering students should learn this course.

Advanced algebra, which mainly includes linear algebra and polynomial theory. Linear algebra can be said to be a widely used branch of mathematics at present, data structure, program algorithms, mechanical design, electronic circuits, electronic signals, automatic control, economic analysis, management science, medicine, accounting, etc. all need to use the knowledge of linear algebra, is a compulsory course for students majoring in economics and management, science and engineering, and computer science.

Advanced geometry: including spatial analytic geometry, projective geometry, spherical geometry, etc., mainly used in architectural design and engineering drawing.

Analytics, advanced algebra, and advanced geometry are the three pillars of modern mathematics.

Differential equations: including ordinary differential equations and partial differential equations, one of the important tools. It is needed in fluid mechanics, superconducting technology, quantum mechanics, stability analysis in mathematical finance, materials science, pattern recognition, signal (image) processing, industrial control, power transmission and distribution, remote sensing measurement and control, infectious disease analysis, weather forecasting and other fields.

Functional analysis: Mainly studies functions on infinite dimensional spaces. Because it is relatively abstract, it is not directly applied in technology, and is generally applied to theories such as continuum mechanics, quantum physics, computational mathematics, infinite-dimensional commodity space, cybernetics, and optimization theory.

Qian Jilin's "Essence of Mathematical Analysis Problem Solution" and "Essence of Advanced Algebra Problem Solution", for postgraduate entrance examination, collected the postgraduate examination questions of major domestic universities (there are a small number of foreign ones, mathematics 123, competition questions).

The first famous work of mathematical analysis is Fichgin Goltz's "Course in Calculus" (3 volumes), and the same algebraic name is Kostelkin's "Introduction to Algebra" (3 volumes, in fact, high algebraic geometry and modern algebra).

There are also trilogies like Rudin (in addition to functional analysis, consider reading his Principles of Mathematical Analysis, Real Analysis, and Complex Analysis).

Sinchin's "Eight Lectures on Mathematical Analysis", Zhuorich's "Mathematical Analysis", Hardy's "Pure Mathematics Course" (his "Inequality" is written about inequalities in mathematical analysis, which is also good), selected translations of Russian textbooks (since the founding of the People's Republic of China, we have learned in the Soviet Union, their textbooks will not be too difficult), Huazhang Mathematics Translation, etc.

Don't count one. Majors in Mathematics 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, Computer Science and Technology, Civil Engineering, Hydraulic Engineering, Surveying and Mapping Science and Technology, Transportation Engineering, Ship and Marine Science and Technology.

There are four postgraduate subjects: two public courses, one basic course (mathematics or professional foundation), and one professional course. Two public courses:

Politics, English. One basic course: Mathematics or Professional Foundations.

One professional course: Philosophy, Economics, Law, Education, Literature, History, Science, Engineering, Agriculture, Medicine, Military Science, Management, Art, etc.

One is mathematical symbolic analysis, and the other is mathematical numerical analysis.

The former focuses on the analytical solutions of derivative calculus, algebraic equations, and differential equations. The latter takes numerical values as the object and studies the numerical solutions of algebraic equations, differential equations, and eigenvectors of eigenvalues.

Most mathematical problems in mathematical theory and engineering practice do not have analytical solutions, for example, the higher algebraic equations of n 5 can only be solved numerically. The basic mathematical theories of the two courses are universal, and they show that there are many differences between classical advanced mathematics and numerical methods. Numerical methods have developed rapidly with the application of computers.

Learn math skills.

1. Grab the class. Science studies focus on daily work, and are not suitable for surprise revision. The most important thing to study on weekdays is 45 minutes in class, and you should concentrate on listening to the lecture and follow the teacher with your thinking.

Assignments are completed with high quality. When writing homework, sometimes the same type of questions are practiced repeatedly, so it is necessary to consciously test the speed and accuracy, and be able to have deeper thinking about such questions after each completion.

2. Wrong questions that will not be done: understand each step, and think about why, for the wrong questions of the calculation of the Xun car, if such a situation often occurs, then you must: change the calculation methods and habits, such as learning to check and calculate twice to improve accuracy.

The point is to think, and the deeper the thinking, the more thorough the learning, and the more effective it will be with a small number of questions. But this kind of thinking is not based on a vacuum, but on the wrong topic.