[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
6 E, e( D/ L5 J* H/ whttp://csm01.csu.edu.tw/0166/2007Ting/index.htm
3 U+ ^! G4 v; m3 Z; k% c" e$ y& H! r1.  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
% r- n: r0 v. O2 M4 h) G; a2.  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 L4 ^$ d  r; O& M) m3.  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
  \- O( H( t# A( N% a/ v# `! S4.  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
* Y5 P& v8 G( }0 oSection 1-1     Limits
Section 1-2     One-Sided Limit
9 ~' _" ?6 X4 E3 SSection 1-3     Continuity
Section 1-4     A Limit at Infinity and Infinite Limit
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CHAPTER 2  DERIVATIVE
. X0 D: J" l3 S5 c; o; lSection 2-1    Definition of Derivative
Section 2-2    The Rule of Differentiation
- Z- _' A0 v+ g7 d- X9 F1 {Section 2-3    Chain Rule and Implicit Differentiation
Section 2-4    Derivatives of Exponential and Logarithmic F
Section 2-5    Numerical Approximate –Differentials
9 C0 u0 n8 r- k' _. ?( sSection 2-6    Derivatives of Trigonometric Functions
Section 2-7    Derivatives of Inverse Trigonometric F

CHAPTER 3  APPLICATIONS OF DERIVATIVES
+ C5 ?, @- y/ W( b! x; F2 ZSection 3-1    The Mean Value Theorem and its Applications
Section 3-2    Increasing and Decreasing Functions
Section 3-3    Maximum and Minimum Values
& K: f# a9 m& _9 L  X& BSection 3-4    The Max -Min Problems
% c8 k, O' w  s0 V9 y& [Section 3-5    Concavity and Points of Inflection
Section 3-6    Asymptotes
- W& ]+ I$ @# ]/ qSection 3-7    Sketching curve
1 w- P+ P, l! J: K! fSection 3-8    L' Hopital's Rule
Section 3-9    Taylor Series
Section 3-10  Applications In Marginal Analysis
Section 3-11  Elasticity
　
0 Y' q) S+ c& }9 O9 zCHAPTER 4    THE INDEFINITE INTEGRALS
: c, j% |0 q* D: I7 CSection 4-1     Antiderivative and The Indefinite Integrals
# k: O" x* _: NSection 4-2     Integration by Changing Variables
, B. r7 A* L2 L. nSection 4-3     Integration by Parts
Section 4-4     The Trigonometric Integrals
Section 4-5     The Integration by Partial Fractions
9 \, m( r' B8 t) W" j: pSection 4-6     Trigonometric and Half-Angle Substitution
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7 X+ ^* w+ A7 Q# X" p8 c6 ~CHAPTER 5    THE DEFINITE INTEGRALS
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
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; L5 K. U) D2 z6 D0 @# c$ ECHAPTER 6    APPLICATIONS OF INTEGRATION
Section 6-1    Areas between Curves
, {0 V; W/ F$ s2 @Section 6-2    Areas in Polar Coordinates
Section 6-3    Arc Length
9 \" U" r" B* RSection 6-4    Volumes and The Volumes of Revolution
! O; d( V' \% A, L6 I: \" W+ x' @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
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& e- E$ n" O0 }: \; t+ jCHAPTER 7     PARTIAL DERIVATIVES
4 J; B& G" e- p+ ~+ |Section 7-1     Limits and Continuity
& \; o  W% K0 O; G, m. iSection 7-2     Partial Derivatives
9 l) K, A3 X( J$ J* MSection 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
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! E& ^' M6 u1 o& {CHAPTER 8      MULTIPLE INTEGRALS
, l* ^. l$ q& D1 Z6 a( J/ X1 \Section 8-1     Integrals over a Rectangle
Section 8-2     Integrals over a Region
' I* R  [  x% p/ E& ~  z! sSection 8-3     Three-Dimensional Iterated Integrals
, H6 W1 p$ V5 N2 i4 XSection 8-4     Multiple Integration in Polar, Cylindrical and  Spherical Coordinates
Section 8-5     Applications of Multiple Integrals
　

fn001cn

不错不错什么东西都能找到,哈哈.谢了楼主.

sd012

very good!

yhua

yhua