江苏省高等教育自学考试大纲（Jiangsu higher education self study examination program）Documents from the network, I collected, finishing, and if there are omissions, errors, but also please correct me!Gao Gang 1132Jiangsu higher education self study examination program27707 Applied Mathematics in EconomicsNanjing Agricultural University seriesJiangsu higher education self taught Examination Committee OfficeFirst, the nature of the course and its settings, purposes and requirements(1) the nature, status and tasks of the courseThe application of economic mathematics is an important basic course in economics and management majors, whose main task is to cultivate the basic concept, since scholars systematically study calculus in economics and management specialty basic theory and basic principle, to cultivate students ability of abstract thinking based on the calculus learning ability, logical reasoning and discovery the problem and the ability to analyze and solve problems, for the students to follow a course of study for students in the future to engage in economic management or related business or work to lay a good foundation(two) basic requirements and key points of this course;The following requirements should be met through the study of this course:1. to obtain the basic knowledge, basic theory and basic methods of the system of calculus of unary function calculus, especially the thinking and method of dealing with problems in Calculus of one yuan;2. obtain elementary knowledge of multivariate functional differential calculusThe emphasis of this course is on the limit and continuity of a unary function, the concepts and calculations of derivatives and differentials, integrals, and their applicationsConsidering the characteristics of economic management specialty, the spirit of laying a solid foundation, focuses on the application of the principle requirements between the basic concept in the curriculum and students to understand their relationship, grasp the calculation method and basic skills, and these concepts and methods in some simple applicationsThe relevant theorems in the course do not require the knowledge of the conditions for the theorem to be established, the conclusions that can be obtained, the proof of the theorem, and the content that is not relevant to the economy(three) the link between this course and related courses;Calculus takes functions as the object of study. This course mainly includes the concepts, methods, calculations and applications of derivatives, differential and integral functions of the functions, and the limit is the basic tool for elucidating these concepts and methodsFor this reason, candidates should have the basic knowledge of high school mathematics when they study this courseOn the other hand, this course lays the necessary mathematical foundation for the follow-up courses in the major of economics and managementTwo, curriculum content and assessment objectivesChapter 1 function and limitI. assessment of knowledge points1. the concept of function (definition of function, domain of definition, method of expression);2. the basic properties of a function (monotonicity, parity, boundedness, periodicity);3. compound function and inverse function;4. elementary functions and piecewise functions;The concept of the limit of 5. series and the limit of function, the basic arithmetic of limit;6. the concepts of infinity and infinity, their relations, the properties of infinitesimal, and the comparison of infinitesimal quantities;7., two important limits;8. continuity and discontinuity of function9. common functions in economic problems (demand function, supply function, cost function, income function, profit function);Two, self-study requirementsFunction is one of the most basic concepts in mathematics. It reflects the dependence between quantity and quantity in a variety of practical phenomena. It is the main object of calculusThe limit theory is the basis of calculus, and the basic concepts in calculus are expounded by the limit methodContinuous functions are the most widely used functionsTherefore, learning this chapter will lay the necessary foundation for future studyIn this chapter, the general requirement is: the relationship between the definition of a function and function and graphics; understand the function of several commonly used method; several basic properties of understanding function; the relationship between function and inverse function to understand their image; grasp the function of composite and solution; mastering the basic elementary functions and graphic form; know what is the elementary function;Know some common economic function; to establish function which contains from the actual problem is relatively simple; the relationship between concept limits and infinitesimal and their operation rules, grasp the basic