[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
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
4.  限于人力、时间等因素，此教学网页暂不设置讨论区

  |6 Y% d9 \# l  w/ P/ ~CHAPTER 1  LIMITS OF FUNCTIONS
Section 1-1     Limits
( q8 m2 \8 o+ i' X  cSection 1-2     One-Sided Limit
Section 1-3     Continuity
( ^3 P; h) J) Q8 F& NSection 1-4     A Limit at Infinity and Infinite Limit
　
CHAPTER 2  DERIVATIVE
Section 2-1    Definition of Derivative
/ n* d* v# a3 l) e2 |5 E( z! ASection 2-2    The Rule of Differentiation
  c- T8 N- D, t0 tSection 2-3    Chain Rule and Implicit Differentiation
Section 2-4    Derivatives of Exponential and Logarithmic F
0 h+ z/ M# U. a( y2 K4 QSection 2-5    Numerical Approximate –Differentials
: v. M# U. i; P1 _/ A( lSection 2-6    Derivatives of Trigonometric Functions
% o) j# S7 D2 |4 L/ K* ^3 YSection 2-7    Derivatives of Inverse Trigonometric F
1 l/ K# J2 s* J1 u
CHAPTER 3  APPLICATIONS OF DERIVATIVES
Section 3-1    The Mean Value Theorem and its Applications
, E. R( R. n  T$ e. y" ]Section 3-2    Increasing and Decreasing Functions
  {' l6 k: G' j% f9 JSection 3-3    Maximum and Minimum Values
* L  Q( d7 M/ Q6 ]" C3 `, MSection 3-4    The Max -Min Problems
Section 3-5    Concavity and Points of Inflection
4 U! _# Q& a* e: R* B, K" [Section 3-6    Asymptotes
Section 3-7    Sketching curve
" l- D, H* g# R) G4 y5 W3 B4 iSection 3-8    L' Hopital's Rule
Section 3-9    Taylor Series
) U  W. h) B& j  XSection 3-10  Applications In Marginal Analysis
Section 3-11  Elasticity
　
  |5 v8 {. L7 x' R) N4 T5 xCHAPTER 4    THE INDEFINITE INTEGRALS
Section 4-1     Antiderivative and The Indefinite Integrals
7 @# Z- Q5 J+ Q* WSection 4-2     Integration by Changing Variables
  I! J, N1 c- o5 oSection 4-3     Integration by Parts
/ S+ k7 {2 l* \6 v( X) v& }6 ^/ ?Section 4-4     The Trigonometric Integrals
Section 4-5     The Integration by Partial Fractions
& G- r$ n# S2 k5 }0 c' USection 4-6     Trigonometric and Half-Angle Substitution
　
CHAPTER 5    THE DEFINITE INTEGRALS
* ~" Y1 Q7 U7 R; h& \Section 5-1    Areas and the Definition of Definite Integral
3 t; H5 ~: Q* _' ^Section 5-2    The Fundamental Theorem of Calculus
% ?3 w) ~5 m% P% w9 }- GSection 5-3    The Approximate Integration
Section 5-4    The Improper Integrals

CHAPTER 6    APPLICATIONS OF INTEGRATION
Section 6-1    Areas between Curves
Section 6-2    Areas in Polar Coordinates
Section 6-3    Arc Length
3 g! R5 U6 S$ }# q. \( |4 h+ i4 T0 dSection 6-4    Volumes and The Volumes of Revolution
Section 6-5    Area of a Surface of Revolution
" |/ Q. A- @8 d5 xSection 6-6    Centroid of A Plane Region
) S) D# N( [6 ISection 6-7    Work and The Problems of The Engineering
- @; S% U- J4 P$ k/ H　
( O! K  v/ a' RCHAPTER 7     PARTIAL DERIVATIVES
( u4 i& z+ W& a0 d! mSection 7-1     Limits and Continuity
, u; @. V3 L2 {# N% S; C+ GSection 7-2     Partial Derivatives
Section 7-3     The Differentials and Chain Rules
' ~7 l3 ?& u+ q' @* w, OSection 7-4     Extrema of Functions of Two Variables
Section 7-5     Directional Derivatives, Gradient and Tangent Plane
7 L" }! w8 ?" W% F6 F　
- ~+ [' f3 w, Z9 p  r1 ~CHAPTER 8      MULTIPLE INTEGRALS
( G0 v$ K- x" ~2 n3 @# ]Section 8-1     Integrals over a Rectangle
Section 8-2     Integrals over a Region
Section 8-3     Three-Dimensional Iterated Integrals
Section 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