数学分析教学大纲（Syllabus for mathematical analysis）.doc

数学分析教学大纲（Syllabus for mathematical analysis） Personal arrangement, feel very good, upload to the library, and share with you Syllabus for mathematical analysis Course description: Mathematical analysis is the Hebei North University Department of mathematics is an important basic course, its main task is the basic idea of knowledge system limits and methods to enable students to obtain the mathematical theory, multivariate calculus, series theory, generalized integral etc. To improve the students thinking ability, develop students intelligence to strengthen the Three Basics (basic knowledge, basic theory and basic skills) and cultivate students ability to work independently and play an important role Two, teaching purposes and requirements: The main part of this course (the lectures and discussion; exercise; operation; counseling), make students have a deeper awareness and understanding on the ultimate thought and method, students are required to learn after the end of the course, the basic concept and definition of the deep understanding, and analysis of the problem, comprehensive use learn the knowledge argument and solve the problem of force Three, teaching key points and difficulties The concept of limit, the limit; the definition of derivative, namely the concept of derivative function differential; mean value theorem, lhpitals rule limit function; monotone interval, extreme value, maximum, concavity, inflection point; indefinite integral and definite integral concept and integral series; convergence and convergence the definition of judgment; uniform convergence; function of power series expansion; the definition of continuous function of two variables, the limit of two yuan of continuous function; the concept and calculating two or three integral; convergence and uniform convergence of abnormal integral; the definition and calculation of the first, second type curve and curved surface integral Four, the relationship with other courses A department of mathemati