[台湾名师丁云龙][Calculus][放式课程][without charge]

yihsiang_huang

欢迎光临丁云龙老师教学网页
http://csm01.csu.edu.tw/0166/2007Ting/index.htm
1.  此教学课程模拟麻省理工开放式课程, 加入影音讲解, 内容针对初学入门者, 偏重运算, 尤其适合技职体系的同学
  N% a% x) v/ q* d2.  这是一个开放式影音课程, 可配合学校教学, 达到预习及复习的效果
2 ]. v/ z7 {; L, g3 p: e( l7 P8 `8 N: x3.  此教学课程以四技大一微积分为主, 高中数学 及国高中衔接课程为辅
, i6 _, n+ U9 @7 g$ X4.  限于人力、时间等因素，此教学网页暂不设置讨论区
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CHAPTER 1  LIMITS OF FUNCTIONS
% f) F, d0 D1 Z8 [# lSection 1-1     Limits
Section 1-2     One-Sided Limit
. h( y$ j! V, n) b; y; k1 {$ {Section 1-3     Continuity
7 G) Q7 g% E5 n5 s, _  U( _# B+ F) Y! K1 ~Section 1-4     A Limit at Infinity and Infinite Limit
　
1 n" a) R" u4 k/ z. x/ ?# s0 YCHAPTER 2  DERIVATIVE
0 o& w) X6 Q9 `6 u# RSection 2-1    Definition of Derivative
. Q" q6 O2 E- a& Q# K7 y2 NSection 2-2    The Rule of Differentiation
' I% _" ]2 q& `( WSection 2-3    Chain Rule and Implicit Differentiation
2 w) b, r3 z( M& t( gSection 2-4    Derivatives of Exponential and Logarithmic F
Section 2-5    Numerical Approximate –Differentials
Section 2-6    Derivatives of Trigonometric Functions
Section 2-7    Derivatives of Inverse Trigonometric F

" \6 e* h. }+ d  gCHAPTER 3  APPLICATIONS OF DERIVATIVES
Section 3-1    The Mean Value Theorem and its Applications
Section 3-2    Increasing and Decreasing Functions
" l: d/ {. H( H6 y- \Section 3-3    Maximum and Minimum Values
Section 3-4    The Max -Min Problems
Section 3-5    Concavity and Points of Inflection
6 C- I& z/ d3 f+ _' QSection 3-6    Asymptotes
Section 3-7    Sketching curve
3 t9 W& @' k0 W/ d, R  ^8 JSection 3-8    L' Hopital's Rule
0 O0 X8 A7 f3 T+ b% cSection 3-9    Taylor Series
Section 3-10  Applications In Marginal Analysis
Section 3-11  Elasticity
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! L- e3 ~- B  ^/ B7 ~2 u1 oCHAPTER 4    THE INDEFINITE INTEGRALS
Section 4-1     Antiderivative and The Indefinite Integrals
6 `3 {2 j9 M9 z# K: SSection 4-2     Integration by Changing Variables
Section 4-3     Integration by Parts
Section 4-4     The Trigonometric Integrals
; o& `9 t$ @! u( Q3 Z6 mSection 4-5     The Integration by Partial Fractions
3 L8 f9 ?: V! Y# h  j" C1 ~/ }Section 4-6     Trigonometric and Half-Angle Substitution
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  h; Q+ D+ k1 _- a/ D( s8 x- _. OCHAPTER 5    THE DEFINITE INTEGRALS
; R7 [3 N5 p. o- ?5 ?* u, ESection 5-1    Areas and the Definition of Definite Integral
2 ^$ \; d/ ]* u% cSection 5-2    The Fundamental Theorem of Calculus
Section 5-3    The Approximate Integration
  S- D% K/ p1 v2 r; ^. ZSection 5-4    The Improper Integrals

CHAPTER 6    APPLICATIONS OF INTEGRATION
9 ^" A/ J$ Y2 g1 U/ GSection 6-1    Areas between Curves
1 y5 G7 ~( r; B8 z1 C6 vSection 6-2    Areas in Polar Coordinates
, V# V$ n, Y; J+ }3 b/ o: J9 FSection 6-3    Arc Length
' b3 _1 m, _3 {% q) @7 BSection 6-4    Volumes and The Volumes of Revolution
Section 6-5    Area of a Surface of Revolution
* m; U) o- g8 MSection 6-6    Centroid of A Plane Region
9 W( I# J  N  I! C% G$ ?2 X* USection 6-7    Work and The Problems of The Engineering
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3 b% ~  N; k& }' {CHAPTER 7     PARTIAL DERIVATIVES
9 t- Z; M4 a; |" v5 U6 r, jSection 7-1     Limits and Continuity
Section 7-2     Partial Derivatives
Section 7-3     The Differentials and Chain Rules
Section 7-4     Extrema of Functions of Two Variables
Section 7-5     Directional Derivatives, Gradient and Tangent Plane
　
; `! b5 \) d: W( k, oCHAPTER 8      MULTIPLE INTEGRALS
" }9 M- J# X) X/ ySection 8-1     Integrals over a Rectangle
Section 8-2     Integrals over a Region
0 Y" m% B/ I3 w( K7 j6 HSection 8-3     Three-Dimensional Iterated Integrals
0 v" l& i& U& Q# F) GSection 8-4     Multiple Integration in Polar, Cylindrical and  Spherical Coordinates
% s. R2 T; _% n* XSection 8-5     Applications of Multiple Integrals
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fn001cn

不错不错什么东西都能找到,哈哈.谢了楼主.

sd012

very good!

yhua

yhua