《高等数学Ⅰ-2》(《微积分》)教学大纲（Higher mathematics Ⅰ - 2 ( calculus ) the syllabus）.doc

《高等数学Ⅰ-2》(《微积分》)教学大纲（Higher mathematics Ⅰ - 2 ( calculus ) the syllabus） It used to be to look at other uploaded documents, this upload point document to share with everyone! Higher mathematics Ⅰ - 2 ( calculus ) the syllabus (application of economics and management college) Reference: 164 credits: 9 course number: 110108 (A, B) The nature and task of this course Calculus is an important basic theory course for all majors in the school of economics and management. It is for training Chinas socialist modernization needs high quality specialized personnel services Through the study of this course, students should be obtained: 1. Variable calculus 2. Vector algebra and space analytic geometry 3. Multifunction calculus 4. Infinite series 5. Ordinary differential equations and difference equations The basic concepts, basic theories and basic operational skills of such aspects provide the necessary mathematical foundation for learning the following courses and further acquiring knowledge In imparting knowledge at the same time, through various teaching link gradually cultivate the students ability of abstract thinking, logical reasoning ability, space imagination ability, self-learning ability and innovation ability, and pay special attention to cultivate students comprehensive ability to apply the learned knowledge to analyze and solve problems Ii. Basic contents of this course (a) function, limit, continuous 1. Function: definition of functions, several simple properties of functions (bounded, monotone, parity and periodicity), inverse functions, compound functions, basic elementary functions, elementary functions 2. Limit: the definition of sequence limit, the definition of function limit and definition, the nature of the limit, limit, the concept of infinitesimal and infinity and infinitesimal and infinity and infinitesimal and general limit, the relationship between the rank, the limit algorithm, limit existence law, two important limits 3. The continuity of function