数学分析1（Mathematical analysis 1）.docVIP

数学分析1（Mathematical analysis 1） Two, curriculum content and requirements Chapter 1 function Teaching contents: this chapter is the introductory chapters, the content is relatively simple, mainly includes: the concept, function representation (analytical method, list method and image method etc.), sequence concept, function of the operation (four operations, complex operations, inverse function solving), basic elementary function, elementary function. Four classes of functions with special properties (bounded functions, monotone functions, odd functions and even functions, periodic functions). Teaching requirements: 1. understand the concept of function, grasp the method of defining the domain of compound function; 2., determine whether a function is elementary or not; 3. have a correct understanding of finite and bounded functions. Focus and difficulty: understand the concept of function, distinguish between finite and bounded. Second chapter limit Teaching content: divided into two blocks, sequence limit and function limit. The sequence limit part including the sequence limit definition, convergent sequence properties, such as the limit of the uniqueness, Paul, boundedness, Paul, inequality, forced convergence, four operations, monotone bounded sequence limit theorem, Cauchy series criterion, subsequence, important limit. The limit function includes function limit and the definition of unilateral limit, the nature of the limit function: uniqueness, boundedness, local sign preserving, inequality, forcing convergence, four operations, principle, function limit Cauchy criterion, two important limits, and their order of infinitesimal infinity. Teaching requirements: 1., understand the definition of the sequence limit, grasp the definition of proof, and solve the limit of some series; 2. understand the definition of the limit, and grasp the conditions and properties of the existence of the limit of the sequence; 3. understand and grasp the definition and definition of fu