O、 绪论

温故而知新

回忆：

一、映射

二、函数

教学目的与要求：

1.理解并掌握映射、函数等基本概念；

2.掌握函数的有界性、单调性、奇偶性、周期性等性态，理解掌握反函数、复合函数、初等函数，双曲函数等基本概念及函数的运算.

教学重点与难点：

函数概念、函数的有界性、单调性、奇偶性、周期性、反函数与复合函数 、函数的运算、基本初等函数、初等函数

外语词汇：

Set,element, subset, empty set, union, intersection, difference of sets,conplementary set, open interval, closed interval, half open interval, finiteinterval, length of an interval, infinite interval, neighborhood, centre of aneighborhood, radius of a neighborhood, mapping, mapping of X onto Y,surjection, injection, one-to-one mapping,bijection, function, inverse mapping,composite mapping, independent variable, dependent variable, domain, value offunction, function relation, range, natural domain, single valued function,multiple valued function, absolute value function, sign function, integralpart, step curve, if and only if（iff）, piecewise function, upper bound, lower bound,boundedness, unbounded, monotonicity of a function, increasing, decreasing,monotone function, parity(odevity)of a function, symmetry, even function, oddfunction, periodicity of a function, periodic function, period, inversefunction, direct function, composite function, intermediatevariable, operationof function, basic elementary function, elementary function, power function,exponential function, 

教学基本内容：

一．映射

1．映射概念

2．逆映射与复合映射

二．函数

1．函数概念

    2．函数的几种特性（1）函数的有界性（2）函数的单调性

                      （3）函数的奇偶性（4）函数的周期性

3．反函数与复合函数

4．函数的运算

5．初等函数