[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
# @2 H) F( U0 ohttp://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
6 r+ ^9 \3 A5 N2 [2 R: N- W# d/ f( I2.  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
3 k0 V/ D5 W3 }" K( J4.  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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8 S, g  R/ J1 RCHAPTER 1  LIMITS OF FUNCTIONS
. x: ^& b3 V( F  CSection 1-1     Limits
) Q: N! D5 ]2 I3 R# \  P$ O2 gSection 1-2     One-Sided Limit
Section 1-3     Continuity
+ U  y% v& K" a  x: YSection 1-4     A Limit at Infinity and Infinite Limit
　
CHAPTER 2  DERIVATIVE
Section 2-1    Definition of Derivative
Section 2-2    The Rule of Differentiation
Section 2-3    Chain Rule and Implicit Differentiation
" D/ S" H6 O7 m5 [9 H7 qSection 2-4    Derivatives of Exponential and Logarithmic F
Section 2-5    Numerical Approximate –Differentials
1 W6 z! m7 J% E7 SSection 2-6    Derivatives of Trigonometric Functions
- `: j# v  {) t- \+ wSection 2-7    Derivatives of Inverse Trigonometric F

CHAPTER 3  APPLICATIONS OF DERIVATIVES
% f+ i* z1 G+ k& D- a! lSection 3-1    The Mean Value Theorem and its Applications
Section 3-2    Increasing and Decreasing Functions
8 }+ P& Z8 A0 RSection 3-3    Maximum and Minimum Values
Section 3-4    The Max -Min Problems
Section 3-5    Concavity and Points of Inflection
Section 3-6    Asymptotes
  s0 n2 Z4 [. c; v' `$ u: W8 m9 aSection 3-7    Sketching curve
; X  B+ ~( f: y: z, o3 ]Section 3-8    L' Hopital's Rule
Section 3-9    Taylor Series
6 M6 m8 R  y/ [, hSection 3-10  Applications In Marginal Analysis
$ s* L& @9 G  c1 d+ Q$ ~0 USection 3-11  Elasticity
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; |0 T3 \! r5 \0 O- ?% H2 ?1 JCHAPTER 4    THE INDEFINITE INTEGRALS
: S" T8 Q  c& r. ^+ B( V( F  P, M% DSection 4-1     Antiderivative and The Indefinite Integrals
Section 4-2     Integration by Changing Variables
6 @* G5 ^' b( d  [$ c7 HSection 4-3     Integration by Parts
, _& \/ D+ v( v# ySection 4-4     The Trigonometric Integrals
Section 4-5     The Integration by Partial Fractions
Section 4-6     Trigonometric and Half-Angle Substitution
　
9 _) \% ~  H1 s* Y- w/ u7 BCHAPTER 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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CHAPTER 6    APPLICATIONS OF INTEGRATION
' a9 |+ L' y- L$ u7 |Section 6-1    Areas between Curves
Section 6-2    Areas in Polar Coordinates
3 _) Y" g' |1 |3 U6 O6 f- JSection 6-3    Arc Length
8 o; C9 d; j# W) e$ O7 p2 QSection 6-4    Volumes and The Volumes of Revolution
+ H6 }6 Y* O, P. CSection 6-5    Area of a Surface of Revolution
! F2 ^& F0 N8 Q) D9 ]+ n8 [) iSection 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
Section 7-4     Extrema of Functions of Two Variables
Section 7-5     Directional Derivatives, Gradient and Tangent Plane
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CHAPTER 8      MULTIPLE INTEGRALS
! }* }) M! |" i0 G0 d) Z- k- i4 DSection 8-1     Integrals over a Rectangle
Section 8-2     Integrals over a Region
Section 8-3     Three-Dimensional Iterated Integrals
) R- A0 y1 s/ a2 a, SSection 8-4     Multiple Integration in Polar, Cylindrical and  Spherical Coordinates
. ?% T+ O+ K# vSection 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