《微积分》考试大纲 - 湖北专升本网（The exam outline of calculus - hubei province）.doc

《微积分》考试大纲 - 湖北专升本网（The exam outline of calculus - hubei province） The bird flutters its wings before it wants to fly. - flavor The calculus syllabus Chapter 1: functions and Mathematica 1.1 set up the collection operation to understand the concept of neighborhood. 1.2 functions understand the concept of functions, and grasp the parity, monotonicity, periodicity and boundedness of functions. Understand the concept of complex functions and inverse functions. Familiar with the properties of basic elementary functions and their graphs. The usual functions of economics, which are used in economics, will establish a functional relationship between simple economic problems. Chapter 2: limits and continuity 2.1 limit knowledge of sequence limit and function limit of concept and nature of mastering the limits of laws of arithmetic, using variable substitution and the limit of the simple composite function, understand two of the existence of limit rules (rule of clamp force and the rule of monotone bounded), master the two important limit, continuity and will use them to seek the relevant limit. 2.2 the concept of continuity of function is understood, and the concept of function discontinuity is understood, and the continuity of function and the type of discontinuous point are judged. The properties of continuous function (maximum value, minimum value theorem and bounded theorem, zero point theorem and intermediate value theorem) are understood in the continuity and closed interval of elementary functions. 2.3 infinitesimal to know the relative concepts and properties of infinite quantities and infinitesimal quantities, and to know the comparison method of infinite small quantities, will use equivalent infinitesimal infinitesimal limits. Chapter three: derivatives and derivatives The concept of derivative is understood and its geometric meaning is understood, and the relationship between the derivability and continuity of the function is understood. 3.2 derivative method and