[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
) F1 O9 O8 [% X- w6 X1.  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
2.  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
3.  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
: z! A( y, |) \4.  限于人力、时间等因素，此教学网页暂不设置讨论区

5 v/ J; C! _  j' `( q6 q2 G" BCHAPTER 1  LIMITS OF FUNCTIONS
$ y% Y& {# \- g" I/ N4 DSection 1-1     Limits
2 q/ }/ v" q" t0 e5 bSection 1-2     One-Sided Limit
Section 1-3     Continuity
2 R1 {- Y/ W) q5 g( b  k7 R) y8 P' rSection 1-4     A Limit at Infinity and Infinite Limit
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CHAPTER 2  DERIVATIVE
6 I$ f  I$ H' C5 U. T2 p: ?Section 2-1    Definition of Derivative
Section 2-2    The Rule of Differentiation
Section 2-3    Chain Rule and Implicit Differentiation
  n5 F- ~& g3 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

5 y$ O/ ?( r/ i8 G: p) oCHAPTER 3  APPLICATIONS OF DERIVATIVES
: I; W' H% ]5 TSection 3-1    The Mean Value Theorem and its Applications
. ]# x5 y. u; FSection 3-2    Increasing and Decreasing Functions
7 m3 E* U" g" BSection 3-3    Maximum and Minimum Values
Section 3-4    The Max -Min Problems
( r& H4 i7 W1 \6 J- `' t0 fSection 3-5    Concavity and Points of Inflection
Section 3-6    Asymptotes
Section 3-7    Sketching curve
Section 3-8    L' Hopital's Rule
( N6 K! F* U- k: q/ [/ S/ M$ gSection 3-9    Taylor Series
Section 3-10  Applications In Marginal Analysis
Section 3-11  Elasticity
　
CHAPTER 4    THE INDEFINITE INTEGRALS
" Y9 Q& t7 z# c+ z5 g) B$ X3 ~Section 4-1     Antiderivative and The Indefinite Integrals
! C* m! z3 n6 R5 P: D# zSection 4-2     Integration by Changing Variables
3 l6 H: F5 u! Q5 x1 ]3 v$ t; c' \' MSection 4-3     Integration by Parts
Section 4-4     The Trigonometric Integrals
9 _3 b' J: O) I) z& e9 ISection 4-5     The Integration by Partial Fractions
2 W# Y7 i+ N! L6 M6 X$ OSection 4-6     Trigonometric and Half-Angle Substitution
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CHAPTER 5    THE DEFINITE INTEGRALS
$ q& [4 L" P" s! H% V" Q+ \Section 5-1    Areas and the Definition of Definite Integral
Section 5-2    The Fundamental Theorem of Calculus
Section 5-3    The Approximate Integration
Section 5-4    The Improper Integrals

/ @+ A. x5 {1 N! s0 v2 WCHAPTER 6    APPLICATIONS OF INTEGRATION
2 J8 [. s( D, O% W. Q: {Section 6-1    Areas between Curves
Section 6-2    Areas in Polar Coordinates
Section 6-3    Arc Length
Section 6-4    Volumes and The Volumes of Revolution
Section 6-5    Area of a Surface of Revolution
Section 6-6    Centroid of A Plane Region
Section 6-7    Work and The Problems of The Engineering
　
CHAPTER 7     PARTIAL DERIVATIVES
Section 7-1     Limits and Continuity
Section 7-2     Partial Derivatives
Section 7-3     The Differentials and Chain Rules
" v: H! f% P" r0 F6 V3 t3 s4 XSection 7-4     Extrema of Functions of Two Variables
Section 7-5     Directional Derivatives, Gradient and Tangent Plane
　
3 c5 L1 J! R* |) ECHAPTER 8      MULTIPLE INTEGRALS
$ |7 y% f3 k, z5 k2 S/ Y3 MSection 8-1     Integrals over a Rectangle
1 s* T* t( Q: R( \& \( Q3 I2 YSection 8-2     Integrals over a Region
/ R, n$ n0 B5 oSection 8-3     Three-Dimensional Iterated Integrals
Section 8-4     Multiple Integration in Polar, Cylindrical and  Spherical Coordinates
: o# y- k+ o0 ]# P: o; KSection 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