史济怀课程表

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1、sjh20030901.wmv第1章实数和数列极限$1.1数轴(14:00)$1.2无尽小数(32:20)$1.3数列和收敛数列(48:12)sjh20030903_l.wmv$1.4收敛数列的性质(28:40)sjh20030905_l.wmvsjh20030905_2.wmv$1.5sjh20030908_l.wmv$1.6sjh20030908_2.wmv$1.7sjh20030910_l.wmv$1.8sjh20030903_2.wmv数列极限概念的推广(无穷大)(2630)单调数列(12:00)自然对数的底e(22:17)基

2、本列和Cauchy收敛原理(21:50)sjh20030910_2.wmvsjh20030915_l.wmv$1.9上确界和下确界(00:00)1.10有限镘盖定理(24:06>sjh20030915_2.wmv$1.11上极限和下极限(06:20)sjh20030917_l.wmvsjh20030917_2.wmv$1.12Stolz定理(30:00)sjh20030919_l.wmv$1.13数列极限的应用(09:33)sjh20030919_2.wmv第2章函数的连续性$2.1集合的映射(09:09)$2.2集合的势(28:40

3、>sjh20030922_l.wmv$2.3函数(40:40)sjh20030922_2.wmvsjh20030924_l.wmv$2.4函数的极限(00:00)sjh20030924_2.wmvsjh20030927_l.wmvsjh20030927_2.wmv$2.5极限过程的其他形式(24:13)sjh20030929_l.wmv$2.6无穷大和无穷小(00:00)换教室sjh20030929_2X.wmvsjh20031008_l.wmv$2.7函数的连续性(00:00>sjh20031008_2.wmv$2.8连续函数与极限

4、计算(14:28)sjh20031010_l.wmv$2.9函数的一致连续性(00:00)$2.10有限闭区间上连续函数的性质｛36:20)sjh20031010_2.wmvsjh20031013_l.wmvsjh20031013_2.wmv$2.11函数的上极限和下极限(03:55)声音有断续sjh20031016_l.wmv$2.12混沌现象(17:30)sjh20031016_2X.wmvsjh20031020_l.wmvsjh20031020_2.wmv声音有断续sjh20031022_l.wmv第3章函数的导数$3.1导数的

5、定义(00:00)$3.2导数的计算(35:00)sjh20031022_2.wmvsjh20031027_l.wmvsjh20031027_2.wmv$3.3髙阶导数(07:21)sjh20031029_l.wmv$3.4微分学的中值定理｛00:00｝sjh20031029_2.wmvsjh20031031_l.wmv$3.5利川导数研究函数(00:00)sjh20031031_2.wmvsjh20031105_l.wmvSjh20031105_2.wmvsjh20031107.wmvsjh20031110_l.wmv$3.6(/H

6、ospital法则(21:26)sjh20031110_2.wmvsjh20031112_l.wmv$3.7函数作图(00:00)sjh20031112_2.wmv第4章一•元微分学的顶峰--Taylor定理$4.1函数的微分(14:48)sjh20031114_l.wmv$4.2带Peano余项的Taylor定理(22:30)sjh20031114_2.wmvsjh20031117_l.wmvsjh20031117_2.wmv$4.3带Lagrange余项和Cauchy余项的Taylor定理(10:20)sjh20031119_l.

7、wmvsjh20031119_2.wmv第5章插值与逼近初步$5.1Lagrange插值公式(30:00)(声音不可川)sjh20031121_l.wmv$5.2多项式的Bernstein表示(36:20)sjh20031121_2.wmvsjh20031124_l.wmv$5.3Bernstein多项式(42:50)sjh20031124_2.wmvsjh20031126_l.wmv第6章求导的逆运算$6.1原函数的概念(20:48)$6.2分部积分法和换元法(38:00>sjh20031126_2.wmvsjh20031201_l

8、.wmv$63有理函数的原函数(犯:33)sjh20031201_2.wmv$6.4可有理化函数的原函数(05:47)sjh20031203_l.wmv第7章函数的积分$7.1积分的概念(28:00)可积函数的性质(18