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数学专业考研大纲及qq群(Outline and QQ group of Mathematics Major)
数学专业考研大纲及qq群(Outline and QQ group of Mathematics Major)
Mathematics major QQ group 177734000
Graduate School of Chinese Academy of Sciences, postgraduate entrance examination, mathematical analysis examination outline
Mathematics major QQ group 177734000
This mathematical analysis examination outline applies to Graduate University of Chinese Academy of Sciences, mathematics and systems science and other disciplines, professional master entrance examination. Mathematical analysis is an important mathematical basic course with public nature. It consists of analysis basis, differential calculus and integral calculus, progression, multivariate differential calculus and integral calculus. Candidates are required to understand the basic concepts accurately, master all kinds of operations and basic calculation and argumentation skills, and have the ability to analyze and solve problems in a comprehensive way.
I. Basic requirements for examination
Candidates are required to systematically understand the basic concepts and basic theories of mathematical analysis, and to master the basic ideas and methods of mathematical analysis. Candidates are required to have abstract thinking ability, logical reasoning ability, calculation ability, and the ability to analyze and solve problems comprehensively by using the knowledge they have learned.
Two, examination methods and examination time
Mathematics analysis examination uses the closed volume written examination form, the examination paper full score is 150 points, the examination time is 180 minutes.
Three, examination content and examination requirements
(I) examination content
1. basic analysis
(1) the concept of real numbers and the bounds of truth
(2) function concept
(3) sequence limit and function limit
(4) infinity and infinitesimal
(5) upper limit and lower limit;
(6) continuous concepts and basic properties, uniform continuity
(7) convergence principle
2. differential calculus of one variable
(1) the concept of derivativ
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