新东方在线考研...............................................................................................................................1
2016新东方在线考研数学强化课程配套讲义 .............................................................................1
授课教师：张宇 ..............................................................................................................................1
第一讲：极限...................................................................................................................................3
综述...........................................................................................................................................3
一、定义与性质.......................................................................................................................3
1、极限的定义及其考法.................................................................................................3
2、性质及其考法.............................................................................................................4
二、函数极限的计算...............................................................................................................5
三、数列极限的计算...............................................................................................................8
四、极限的应用.....................................................................................................................10
第二讲一元函数微积分学...........................................................................................................12
综述.........................................................................................................................................12
一、定义.................................................................................................................................12
1、导数定义及其考法;..................................................................................................13
2、微分定义...................................................................................................................15
3、不定积分...................................................................................................................15
4、定积分.......................................................................................................................17
5、定积分的精确定义：...............................................................................................21
6、变限积分...................................................................................................................22
7.反常积分....................................................................................................................23
二计算...................................................................................................................................24
1、求导...........................................................................................................................24
2、求积分.......................................................................................................................26
新东方在线考研....................................................................................................................... 1
2016新东方在线考研数学(一)强化课程配套讲义 ............................................................... 1
授课教师：张宇....................................................................................................................... 1
第二讲：一元函数微积分学 ................................................................................................... 2
第三讲：多元函数微分学 ....................................................................................................... 4
第四讲：二重积分................................................................................................................. 12
第五讲：微分方程................................................................................................................. 17
第六讲：无穷级数................................................................................................................. 22
第七讲：傅里叶级数............................................................................................................. 31
第八讲：多元函数积分学的预备知识 ................................................................................. 33
第九讲：三重积分................................................................................................................. 39
第十讲：线面积分................................................................................................................. 43
