b) Space imagine, c) Abstract summarize, Self study, Skilled calculations, Analysis problem and solve problem with calculus. lⅢl、Course Contents and Requirements The contents are divided into two pars.The one is higher demand with the low line mark and must be grasped with students.The other is low demand,but this is not lack. 1.Function,limit and continuity(12 class hours) (1)Understand the concept of function (2)Comprehend the Understand the following characteristics of a function:monotonicity boundedness.odd/even.and periodicity. (3)Understand the of composite function.inverse function,implicit function.and piecewise function. (4)Master the properties and graph ofa basic primitive function,understand the concept of primitive (5)Be skillful in building function relationship about practical problem (6)Understand the concept of limits. (7)Understand the four fundamental operations of limits. (8)Understand the properties of limits and the two principals for existence of limits:master the law for four basic operation s of limits,be able to utilize the t o important limits (9)Understand the concepts and properties of the infinitesimal:master the method of comparing the infinitesimal:understand the concept of the infinity and its relationship with the infinitesimal. (10)Understand the concept of continuity.Be able to determine the types of points of discontinuity. (11)Comprehend the cept of points ntinuity.Be able to determine the types of point of discontinuity. (12)Understand the properties a nuous function and the continuity of p nitive functions understand the properties and application of continuous functionsonaclosed interval 2.Univariable function Differentiation (30 class hours) (1)Understand the concept of derivatives and differentiability.Understand the concept of derivatives from geometric.Understand the relationship between differentiability and continuity. Be able to describe the physical concept with derivatives. (3)Master the derivative formula for primitive functions:master the operational principles of four basic operations with respect to derivatives and the method of obtaining derivatives for composite functions implicit functions and inverse functions master the method of obtaining derivatives through logarithm. (4)Comprehend the concept of the higher-order derivative. (5)Be able to obtain the high order derivative for simple functions. (6)Comprehend the methods of finding the first-order and second-order derivatives of the implicit function and the function of the parameter equation.Comprehend the correlation rate of change. (7)Understand and utilize the Roll theorem,Lagrange theorem,Cauchy theorem and Taylor theorem. (8)Understand the concept of extreme,minimum and maximum value of a function.b)   Space imagine, c)    Abstract summarize, d)    Self study, e)    Skilled calculations, f)    Analysis problem and solve problem with calculus. Ⅲ、Course Contents and Requirements The contents are divided into two pars. The one is higher demand with the low line mark and must be grasped with students. The other is low demand, but this is not lack. 1．Function, limit and continuity (12 class hours) (1) Understand the concept of function (2) Comprehend the Understand the following characteristics of a function: monotonicity, boundedness, odd/even, and periodicity. (3) Understand the concepts of composite function, inverse function, implicit function, and piecewise function. (4) Master the properties and graph of a basic primitive function, understand the concept of primitive functions. (5）Be skillful in building function relationship about practical problem. (6）Understand the concept of limits.     (7) Understand the four fundamental operations of limits. (8) Understand the properties of limits and the two principals for existence of limits; master the law for four basic operations of limits; be able to utilize the two important limits. (9) Understand the concepts and properties of the infinitesimal ; master the method of comparing the infinitesimal ; understand the concept of the infinity and its relationship with the infinitesimal . (10) Understand the concept of continuity. Be able to determine the types of points of discontinuity. (11)Comprehend the concept of points of discontinuity. Be able to determine the types of points of discontinuity. (12) Understand the properties of a continuous function and the continuity of primitive functions; understand the properties and application of continuous functions on a closed interval. 2．Univariable function Differentiation（30 class hours） (1) Understand the concept of derivatives and differentiability. Understand the concept of derivatives from geometric. Understand the relationship between differentiability and continuity        (2) Be able to describe the physical concept with derivatives. (3) Master the derivative formula for primitive functions; master the operational principles of four basic operations with respect to derivatives and the method of obtaining derivatives for composite functions, implicit functions and inverse functions; master the method of obtaining derivatives through logarithm. (4)Comprehend the concept of the higher-order derivative. (5)Be able to obtain the high order derivative for simple functions. (6)Comprehend the methods of finding the first-order and second-order derivatives of the implicit function and the function of the parameter equation. Comprehend the correlation rate of change. (7)Understand and utilize the Roll theorem, Lagrange theorem, Cauchy theorem and Taylor theorem. (8)Understand the concept of extreme, minimum and maximum value of a function