中南财经政法大学微积分复习重点

杨皓&罗捍东微积分重点综合来源：汪凤的日志

杨皓&罗捍东微积分重点综合

考试范围Unit6~Unit9 6，8章为绝对重点！

第六章定积分 30%

见到和即可判断是否为定积分

积分上限函数求导（牛顿莱布尼兹公式的应用）

定积分计算（还愿、定积分性质、奇偶、分段、三角函数）

定积分几何应用（面积、体积、最值，其中体积只考旋转法）一定要画图！！定积分经济应用广义积分初步老师米有说

第七章无穷级数 15%

正项级数敛散性判别（小题）

常数项级数（条件收敛绝对收敛）

幂级数（收敛半径域和函数）

幂级数展开（仅间接展开最基本的少并且easy）

第八章多元函数微积分学 40%

8.1不考

偏导数

全微分及其应用（不要鸟定义）

多元复合函数求导法则（抽象符合——从简啊从简） BUT 也是难点。。。

多元函数的极值与最值10’+

二重积分（化、换次序、求直角极坐标）

No 8.8

第九章微分方程初步 <15%

一阶微分方程只考最最直接简单的

应用题from定积分应用平面面积旋转V 多元函数极值最值

课后习题&练习册重要啊！

When you are old and grey and full of sleep,

And nodding by the fire, take down this book,

And slowly read, and dream of the soft look

Your eyes had once, and of their shadows deep;

How many loved your moments of glad grace,

And loved your beauty with love false or true,

But one man loved the pilgrim soul in you,

And loved the sorrows of your changing face; And bending down beside the glowing bars, Murmur, a little sadly, how love fled

And paced upon the mountains overhead

And hid his face amid a crowd of stars.

The furthest distance in the world

Is not between life and death

But when I stand in front of you

Yet you don't know that

I love you.

The furthest distance in the world

Is not when I stand in front of you

Yet you can't see my love

But when undoubtedly knowing the love from both Yet cannot be together.

The furthest distance in the world

Is not being apart while being in love

But when I plainly cannot resist the yearning

Yet pretending you have never been in my heart. The furthest distance in the world

Is not struggling against the tides

But using one's indifferent heart

To dig an uncrossable river

For the one who loves you.