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2006-5-31 00:24 taxuehyd
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Functions and Limits函数与极限
m [-q*I&^} TQ/y         Functions函数$c2O'A"R4Et"_)T)DG s[
        Definitions; inverse functions; composite functions定义;反函数;复合函数
LUqk%B.] xm2B         Te limit of a sequence and the limit of a function极限及函数的极限
2i)B!E3xs M:Nr         Rules in calculating limits 极限的运算法则c;`1c*PBx
        Continuity of a function and discontinuity points函数的连续性与间断点+~%RG0x|"V
        Algebra operations of continuous functions连续函数的运算
?8m;v7IS$I6Vv%h         ,G-j*~i| \
         Derivatives and Differential
0O,US!b"h,Pc         The definition of derivative 导数概念)} s r2GwdH3a
        Rules in calculating the derivatives of the sum, the difference , the product and the quotient of functions函数的和、积、商的求导法则 z#`6c9A5y$Wc
        The derivatives of exponential functions and logarithmic functions指数函数和对数函数的导数
4_5wdL3RS7B         The derivative of a composite function复合函数的导数5B:H j*bg1hK o;_ `
        The derivative of an inverse function反函数的导数
\Z5HwB         The derivative of an implicit function隐函数的导数
COG;fu3b-nE3v         The second derivative and higher order derivatives of a function 二阶及以上导数
5T\(y6d+v"z)?;o         The differential of a function —— with its calculation and applications 函数的微分、计算及应用PZaA0B'rfx
        The Indefinite Integral
.B!D }-?.?\         The definition and the properties of the indefinite integral, the table of integral formulas 不定积分的概念与性质,积分表,积分的性质
an:H.LS4mnp o6k         Two types of integrations by the method of substitution两类换元积分法$ZN!CfZ7K-~T-l[{*X
        Integration by parts 分部积分法'f'dz7ja2B
        Integrations of several special functions 几种特殊类型函数的积分3bL-i&vx
        How to use the table of integral formulas积分表的使用
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         The definite Integral and its applications定积分及其应用
_;RA5~T6H6[I         The definition of definite integral, and its properties定积分的概念及性质
l oA$`g8PT M         Newton-Leibniz’s  formula 牛顿-莱布尼兹公式
`f8v5zW+f&m         Definite integrations by parts定积分的分部积分法
*BnX(j V3aI         Definite integrations by substitution 定积分的换元法        {%v[P{ u
        Calculating definite integrals by using elementary定积分的元素法
u7p4M9dVlJn         The area of planar graphs平面图形的面积
q:ID^&R4? _         Under the rectangular coordinates直角坐标情形/@^ [|/Kqu-h;r
        Under the polar coordinates极坐标情形
[{1VZ S+Bf         The volume体积"Y;zQ~K#N V7r0~ ]
        The volume of revolving solid旋转体的体积
L`_s&m^8?0|         The volume of a solid whose parallel-sectional area is known平行截面积为已知的立体的体积
4~P&]0`4`6M/e-N#c         Application of definite integral in physics定积分在物理学中的应用举例 N#tk3tXK|o w bt#cd
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        Theorems of Mean Value and Applications of Derivatives
'd|~vS/znq f1\M&G         Theorems of Mean Value (The Law of the Mean)中值定理
%BMWA_         Rolle’s theorem罗尔定理
"vu6b ~/N6L.u8k h         Lagrange’s theorem拉格朗日中值定理4f!k[#|h9`+S3E;d8jP
        Cauchy’s theorem柯西中值定理
+cec+}9v7s0h         The Law of L’ Hospital罗必塔法则S$V5`0bYw)o9h4]
        Taylor’s Formula 泰勒中值定理 (应为泰勒公式)n+NyiVPb:tPv
        On the properties of functions and curves函数和曲线性态的研究
f(jg5M J(p-YH Y         Graphing functions函数图形的描绘
W2F"V'u$d0i nu.T O         Problems on maximum and minimum最大值及最小值的问题
l6e(rqJ#X 1RX?zf:z1{tM#W
         Differential Equations微分方程        The definitions in differential equations微分方程的基本概念
9c {1`pw7m*VJ         Differential Equations with variables separable可分离变量的微分方程
0c4x-c4O$]"WY         Homogeneous equations齐次方程
dCM3Sx&lm B4qFj|6I         Linear differential Equations with order 1  一阶线性微分方程$c(u k6I.j
        Second order linear homogeneous differential Equations with constant coefficient 二阶常系数齐次线性微分方程h*DAK-w M,b
        Second order linear non-homogeneous differential Equations with constant coefficient二阶常系数非齐次线性微分方程^aw*O2a

9h zw6Q,W5u1K?4b          Calculus on functions of several variables , with its applications多元函数微分法及其应用$^R V)f hD,U r [
        Some definitions in the theory f functions of several variables多元函数的基本概念I.b^&GqA \-{
        Partial derivatives偏导数Xq ze ` |
        The definition and the calculation偏导数的定义及其计算法~N)OE/pS&Q
        Partial derivatives with higher order高阶偏导数:SzSmC2{8p[ hs\
        The complete / total differential of functions with several variables全微分"giO,U}8Y,w
        The Chain Rule of complicit functions of several variables多元复合函数的求导法则s d-k;n!i;w P'?
        The formula to get the derivatives of complicit functions隐函数的求导公式"}Mj E6mq5T"f
        Some examples of the applications of calculus of functions of several variables in geometry多元函数微分法的几何应用举例
r? mjj7CZ&y         The maximum and minimum of functions of several variables多元函数的极值
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        Multiple Integrals重积分4vYTUv&^g$lo
        The definition and the properties of double integrals 二重积分的概念及性质,s^L.S sg
        The calculation of double integrals二重积分的计算法
OCTd+w'}         二重积分的应用
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;rY0dj"[ w'jsF          Indefinite Series;Ad V LGG;e}%^
        常数项级数的概念及性质:~E GP(\A gJ
        常数项级数的审敛法
2_%k'oiR         正项级数及其审敛法
6p [CPf)?$q&v:C         交错级数及其审敛法
xBs3O:t         绝对收敛与条件收敛
x-cr2Zn&g         幂级数Q-xR$YG\
        函数展开成幂级数5f+BY&[+hG
         Determinant行列式5~y.Ml+d+^0F@_!zd X
        2*2 and 3*3 determinant二阶与三阶行列式
,Vk:?-j6WQ9m'e         排列与逆序
6c;l$M*p%e3Un         Definition of determinant and its nature N阶行列式的定义及性质,bC4XT0Xs im
        Determinant expansion by minors 行列式按一行(列)展开7n@ f-y Z/{Y#o3}
        Cramer rules克莱姆法则bD]y&Y\7ZeL
         Matrix矩阵3YY"c-n&M3_k
       Concepts of matrix and its calculation矩阵的概念及运算UQTq+S(M*JT:C@
        Some special kinds of matrix几种特殊的矩阵?xX X2?/a |h
        分块矩阵9CIY_*^r
        逆阵及其求法)|^Iq'J5y
        Transformation of matrix矩阵的初等变换
a8{/|2aZ2v
y}3H5hND+XY         Vector and vector space向量及向量空间Ij;e8?*S2Cl i(y
        Concepts of n-vector N维向量的概念%fs/mv{5W$}!x y
        Linely dependent and linely independent线性相关与线性无关
1Ygj1}fL         向量组的秩
R2Y/g9qk1j| B B/Z&i_ f         矩阵的秩
2oJEVw6|9L5t         向量空间,基,维数 ]D/o2~%^MV2H
        坐标,基变换与坐标变换 |,OP.i&v F%^"j!~
        Cross product向量的内积、正交/s4|1]MVyO~+yn
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        Linear Equation线性方程
? iL-fH*J         线性方程的相容性} dOz)|R%m1z
        齐次线性方程组及其基础解系
*Vx OdHm|PK~r         非齐次线性方程组解的结构 Mvf4lV2H
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        Characteristics value and vector特征值与特征向量
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#?)G-^ mq+{ [z m The course is aimed to prepare students to apply the theory and methods of probabilities and statistics to business management.  The main contents: random events and probability; random variables and probability distribution; the law of big numbers; central limit theorem; sampling distribution; estimation; hypothesis testing.  (One semester, 36 class hours, 2 credits) 8mT|o7FC,O d&B
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Random Event and Probability随机事件及其概率1L+h^9vsn,W
        Random events
1nZ2x0li u         Definition 随机事件的概念
+AM]+Ngo `N         事件的集合与图示
2hS4I |e+on          The interrelation of events and the rule of computation of probability of any event事件间的关系其运算 X`3h"WIh^Q
        Probability 概率Z/N&wO.z5G{|xD
        DefinitionKK/HT9k `4lW0X
        Addition theorem概率的加法法则9qOSG"OR-R-v ~
        Conditional probability条件概率 |F$?r'b-\l
         Multiplication rule 乘法法则 "q U Ab^K c?k-d
        The formula of the complete probability &Bayes theorem全概率和贝叶斯定理
`p@p(Th\         Independence of events & Bernoulli’s theorem事件的独立性及贝努里定理:V.FG$_ c4?
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        Random Variables and Probability Distribution随机变量及其分布
u{:c!Ku'v {k L$}         A definition of random variables随机变量的概念F-hm;`!lxs zb,l
        Discrete probability distribution离散型随机变量的分布 `9S VR S b+yL_
        Continuous probability distribution连续型随机变量的分布$mnY@%VwH R
        Two-dimensional random variables二元随机变量
6m5aZ| \JW,M#W         Discrete离散型 "_"cNoj'RP4}
        marginal distribution边缘分布;
{;B tnrqi         Conditional distribution条件分布
uc?(_ SeQ         Continuous probability distribution and its density function连续型及其密度函数
P%ek`*U~         marginal distribution density边缘概率密度;HWf dS mb{;v r
        conditional distribution density条件概率密度
#l#i mA$C:l6MSeA:|         Independence of random variables随机变量的相互独立性
O7w{}5M]5~         Distribution of random variables function随机变量函数的分布
5r%E:CN}7iX          Random variables’ numerical characteristics随机变量的数字特征3N_Xx_e,Xm$O
        Mathematical expectation and its nature数学期望及性质
;?)dr/_-C/e m D         Conditional expectation条件期望jv:k#Ar-Q
        Correlation coefficient方差、协方差及相关系数 |}@mi9q

1J#A u_ Y4F_         Some Important Probability Distributions几种重要的分布0?8X``r.wW.vk
        Binomial law of probability distribution二项分布
S1r|Y0G         Hypergeometric distribution超几何分布,]n]%bTUYV
        Poisson distribution普哇松分布e9y)i ]-QR
        Exponential distribution指数分布
8g.zt P/lWE w a         Γ- distribution Γ-分布-h~"o!`r
        Normal distribution正态分布I8|;{.H)`4]{)P

%n-rm i.A-xOg         Law of  big numbers and its corollary & Central Limit Theorem大数定律与中心极限定理}u&n"t u~nT}g
        Bernoulli’s theorem 贝努里大数定律 sO8N5g |S9@5zn
        Tchebyshev Inequality切贝谢夫不等式[y~JHQ,O
        Tchebyshev theorem切贝谢夫定理
3Fb;m/^LRU*k         Central Limit Theorem中心极限定理
ysWvWYS         李雅普诺夫定理 jK}nO
        Laplace theorem拉普拉斯定理^}%S w*eL[;@

;U@m*y'S%d_!cg          Markov chains马尔可夫链
,XR$r3a(vv!m0ik         随机过程的概念
c[XKrTh {9t         Markov chains 马尔可夫链
7z2sZ:?#_2_Wf;Se         Definition of Markov chains 马尔可夫链的定义 _5Ag;O(tl6F Zb
         Notion of matrix of transition probabilities 转移概率矩阵
7F:YV x8w` p z         The economic application of Markov chains马尔可夫链的在经济中的应用举例
(mTrkA*BF 6@e&Ks5d`5J
        Sampling Distribution 样本分布
B"` SVCi         Population and sampling总体与样本m*P y ob
        Sampling distribution function样本分布函数
j7o#O3JGe         a.分组数据的统计表和频数直方图 b.频率直方图和累积频率直方图 c.样本分布函数Rg Hd$N8s2ssy
        Numerical characteristics of sampling distribution样本分布的数字特征
#mr~$f u*c:Rj4} I         Sample average样本平均数
6t|(n#_#f~         样本方差 C t7x3us{*Y
        样本平均数和样本方差的简算公式
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t*E2M(GFZ8BN          Estimation参数估计6p#G6q3?O4AB;\
        Statistical estimates and their properties估计量及性质7I^!w&B:S
        Consistent estimates一致估计$pI/edv?O'j-?
        Unbiased estimates无偏估计
Ft%rA%H)Q8J         Efficient estimates有效估计
X(z z/O$_w%rK V         The main methods of statistical estimation获得估计量的主要方法
WkC/\_`         Maximum likelihood量大似然估计法
wcj-}4Xe A y1d         Interval estimates区间估计 Jk.|`M
       
z5[%Ce ~0U7C;~!`       Definition of hypothesis testing假设检验的概念
4E;]/FIQ0J"Xz3]\         一个正态总体的假设检验

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2006-5-31 00:25 taxuehyd
自己来顶一下!!!!!!!!!

2006-6-3 12:02 算子紧缩结
我也顶一下,查资料的时候方便很多!

2006-6-3 22:10 英2005
看的我好晕啊!!!!!!!!!!!!!11

2007-8-18 00:49 panlongfei
谢谢楼主

2008-4-19 11:26 chentai8
谢谢楼主,请问"奇函数"与"偶函数"的英文怎么说?

2008-4-21 18:32 shangqiu100
好东西。顶下!

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