《高等数学》教学大纲 - 广西大学324（Advanced mathematics teaching syllabus - guangxi university 324）.docVIP

《高等数学》教学大纲 - 广西大学324（Advanced mathematics teaching syllabus - guangxi university 324） Books and books are like old people, and twilight is a lonely time The syllabus for calculus (guangxi university, xingjian wenli college) Course code: Name: calculus Major in economics and management Hours of study: 100 credits: 5.5 The purpose and requirements of the course Through the study of this course, students are able to acquire the knowledge of the system of variable calculus and differential calculus At the same time, the mastery of these knowledge will lay the foundation for the study of follow-up courses More importantly, in the course of teaching, students deepen the understanding of the dialectical unity of higher mathematics, and use this thought to solve some practical problems Through the study of this course, improve students spatial imagination ability, logical thinking and creative thinking ability, and comprehensively improve students mathematics quality Ii. Contents of course teaching Part one function Main contents: the concept and properties of functions, the concept of complex functions and elementary functions Requirements: 1. Understand the concept of functions and can list functional relationships in simple practical problems 2. Understand the monotonicity, periodicity, boundedness and parity of functions; 3. Understand the concept of inverse functions and complex functions; 4. Understand the concepts and properties of elementary functions Key: the concept and nature of a function Difficult points: list the functional relationships, inverse functions, and complex functions in the problem The second part is the limit and the continuity Main content: the concept of limit, limit four operation, infinitesimal, infinite concept, function continuous concept Requirements: 1. Understand the concept of the limit of the series and the limit of the function (the exact definition of the limit and the proof of no requirement); 2. Grasp the rule of the limit four, and