数三考纲（Three test）.doc

数三考纲（Three test） The 2011 section (three). Examination subjects Calculus, linear algebra, probability theory and mathematical statistics Calculus I. functions, limits, continuity Examination content The concept of function and establishment of function is a function of the nature and pattern of elementary function of boundedness, monotonicity, periodicity and parity composite function, inverse function, piecewise function and implicit function of the basic elementary function The two standards are four computing limit comparison limit properties of the definition and character of function series limit and function limit of the limit on the left and right limit of infinitesimal and Infinity Concept and the relationship between the infinitesimal and infinitesimal of monotone has two important limit circle criterion and squeeze rule: The concept of function continuity; the type of function discontinuity point; the continuity of elementary function; the property of continuous function on closed interval Examination requirements 1. understand the concept of function, grasp the representation of function, will establish the function relation of application question 2., we know the boundedness, monotonicity, periodicity and parity of functions 3. understand the concepts of composite functions and piecewise functions, and understand the concepts of inverse functions and implicit functions 4. master the properties of elementary elementary functions and their graphs, and understand the concepts of elementary functions 5. understand the concepts of sequence limits and function limits (including left and right limits) 6., understand the nature and limit of the limit, the existence of the two guidelines, grasp the limit of the four algorithms, master the use of two important limits to the limit method 7. understand the concepts and basic properties of infinitesimal quantities, grasp the methods of comparison of infinitesimal quantities, and understand the concept of infinite qua