Examination requirements:
1, understand the concept of function.
2. Understand the boundedness, monotonicity, periodicity and parity of functions.
3. Understand the concepts of compound function and piecewise function, inverse function and implicit function.
4. Grasp the nature and graphics of basic elementary functions and understand the concept of elementary functions.
5. Understand the concept of limit, the concept of left and right limit of function and the relationship between the existence of function limit and left and right limit.
6. Master the nature of limit and four algorithms.
7. Master two criteria for the existence of limit, and use them to find the limit, and master the method of using two important limits to find the limit.
8. Understand the concepts of infinitesimal and infinitesimal, master the comparison method of infinitesimal, and find the limit with equivalent infinitesimal.
9. Understanding the concept of function continuity (including left continuity and right continuity) will distinguish the types of function discontinuity points.
10. Understand the properties of continuous function and continuity of elementary function, understand the properties of continuous function on closed interval (boundedness, maximum theorem, mean value theorem), and apply these properties.
Extended data:
I. Scope of application
Advanced Mathematics A (or advanced mathematics 1) is suitable for 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, water conservancy engineering, surveying and mapping science and technology.
Postgraduates in transportation engineering, ship and ocean engineering, aerospace science and technology, armament science and technology, nuclear science and technology and biomedical engineering.
Second, the principle of proposition
1, the principle of scientific justice
As a public basic course, the math problems for postgraduate entrance examination are mainly based on basic and life problems, so as to avoid too professional and abstract content for the majority of candidates.
2, the principle of comprehensive coverage
The content of the mathematics examination questions for postgraduate entrance examination should cover all the contents required by the examination syllabus, especially the differences between numbers (1), (2), (3) and (4).
3, the principle of control difficulty
Mathematics test questions for postgraduate entrance examination should be above average, the pass rate should be controlled at 30-40%, and the average score (full mark 150) should be controlled at around 75.
4, the principle of controlling the amount of questions
The number of math test questions for postgraduate entrance examination is controlled between 20 and 22 (generally 6 fill-in-the-blank questions, 6 multiple-choice questions, 10 big questions), so as to ensure that candidates can basically finish the test questions and have time to check.
The structure of the mathematics test paper is ***20 questions, 5 fill-in-the-blank questions, 5 multiple-choice questions, and 10 comprehensive questions, of which 6 questions are high, 2 questions are linear algebra, and 2 questions are probability theory.
Baidu encyclopedia-postgraduate mathematics
Baidu encyclopedia-advanced mathematics a