十堰职业技术学院《高等数学》课程组（College of higher mathematics, shiyan vocational college of technology）.doc

十堰职业技术学院《高等数学》课程组（College of higher mathematics, shiyan vocational college of technology） 2. Key points and difficulties Key points: function, limit and continuous concept, function limit operation; Difficulty: the concept of mathematical model, the concept of limit of function, the method of the limit of piecewise function. (2) derivative and differential (10 hours) 1. Teaching content and basic requirements Grasp the concept of derivative and differential; To understand the derivative and the geometric meaning of differentiation; Function differentiable, differentiable and continuous relationship; Using derivatives to describe the rate of change in some actual problems; Master the basic formula of derivatives and derivatives; To understand the concept of higher derivative, the n-th derivative of the order; To understand the first derivative of the implicit function and the parametric function. 2. Key points and difficulties Key points: the concept of derivative and differential; The operation of derivatives and derivatives; Difficulty: describe the rate of change in some actual problems with derivative (3) the application of the value theorem and the derivative (12 hours) 1. Teaching content and basic requirements To understand the differential mean value theorem, we can use l hopitals rule to find the limit; The method of discriminating the monotonicity of the function and the method of the extremum of function, grasping the test of the concave of the curve and the turning point of the curve; Can describe the simple function of the graph, grasp the simple maximum and the minimum value of the application question. 2. Key points and difficulties Key points: the discrimination of function monotonicity, the method of extreme value, the most value application. Difficulty: the most valued application of a function. (4) indefinite integral and definite integral (24 hours) 1. Teaching content and basic requirements To understand the concept and nature of indefinite integ