The content of the second test of mathematics for postgraduate entrance examination: the concept and expression of function, boundedness, monotonicity, periodicity and parity of function, complex function, inverse function, piecewise function and implicit function, the properties and graphs of basic elementary function, elementary function, the establishment of function relationship, the definition and properties of sequence limit and function limit, and the left and right limits of function.

The concepts of infinitesimal and infinitesimal and their relationship, the properties and comparison of infinitesimal, four operations of limit, two criteria for the existence of limit: monotone bounded criterion and pinch criterion, and two important limits: the concept of function continuity, the types of function discontinuity, and the properties of continuous function on closed interval.

Introduction to requirements for extended information inspection:

1. Understand the concept of function and master the expression of function, and you will establish the functional relationship of application problems.

2. Understand the boundedness, monotonicity, periodicity and parity of functions.

3. Understand the concepts of compound function and piecewise function, and the concepts of 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.

Baidu encyclopedia-postgraduate mathematics