[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
$ M- n' n1 t) D* B2 [1 Qhttp://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
$ D' d! u! D* M) A' 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
+ N5 Q0 Y* S# V! h+ g! p% {) f4.  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
, |, l+ B4 v9 uSection 1-1     Limits
4 l3 X8 {* ?, N: |Section 1-2     One-Sided Limit
7 Z1 D6 F* ^/ {5 ]0 iSection 1-3     Continuity
Section 1-4     A Limit at Infinity and Infinite Limit
　
CHAPTER 2  DERIVATIVE
Section 2-1    Definition of Derivative
4 d' A% m' o& D' YSection 2-2    The Rule of Differentiation
Section 2-3    Chain Rule and Implicit Differentiation
Section 2-4    Derivatives of Exponential and Logarithmic F
Section 2-5    Numerical Approximate –Differentials
  {. ?0 U1 V( [Section 2-6    Derivatives of Trigonometric Functions
' P  v1 b" P  p+ U- V- CSection 2-7    Derivatives of Inverse Trigonometric F

CHAPTER 3  APPLICATIONS OF DERIVATIVES
3 P+ b) I: e7 h$ K( mSection 3-1    The Mean Value Theorem and its Applications
Section 3-2    Increasing and Decreasing Functions
Section 3-3    Maximum and Minimum Values
, c" u+ n. {: x' L4 e# y! lSection 3-4    The Max -Min Problems
4 O% |8 `- j- B6 ~1 \9 ISection 3-5    Concavity and Points of Inflection
Section 3-6    Asymptotes
Section 3-7    Sketching curve
. C3 ~- {" S9 b, y% USection 3-8    L' Hopital's Rule
Section 3-9    Taylor Series
Section 3-10  Applications In Marginal Analysis
$ S/ e# @. h: D* ]! d* V6 n2 HSection 3-11  Elasticity
　
CHAPTER 4    THE INDEFINITE INTEGRALS
Section 4-1     Antiderivative and The Indefinite Integrals
% p6 U' M0 f* t9 T( r+ [/ e, ~Section 4-2     Integration by Changing Variables
Section 4-3     Integration by Parts
, l0 n2 A! F$ dSection 4-4     The Trigonometric Integrals
) X; E1 S- ?* S' iSection 4-5     The Integration by Partial Fractions
4 a/ U9 O8 w6 q% s' pSection 4-6     Trigonometric and Half-Angle Substitution
　
, n: U2 S: _/ j7 d, P9 e. {CHAPTER 5    THE DEFINITE INTEGRALS
4 e$ h+ ^, H* ~% \: xSection 5-1    Areas and the Definition of Definite Integral
Section 5-2    The Fundamental Theorem of Calculus
( U$ j$ ~1 a* g& ~2 `" ?- iSection 5-3    The Approximate Integration
Section 5-4    The Improper Integrals

CHAPTER 6    APPLICATIONS OF INTEGRATION
Section 6-1    Areas between Curves
+ b4 g2 I' `: r" V. kSection 6-2    Areas in Polar Coordinates
Section 6-3    Arc Length
Section 6-4    Volumes and The Volumes of Revolution
& x( I6 M0 w5 j/ W( b, JSection 6-5    Area of a Surface of Revolution
Section 6-6    Centroid of A Plane Region
* z5 L4 j5 T' a% S1 sSection 6-7    Work and The Problems of The Engineering
　
! \2 @  [# e& g7 uCHAPTER 7     PARTIAL DERIVATIVES
Section 7-1     Limits and Continuity
Section 7-2     Partial Derivatives
8 K5 D9 i/ {! j0 A2 X, e$ @1 jSection 7-3     The Differentials and Chain Rules
: ~$ G# b5 N% a/ c$ K1 W7 YSection 7-4     Extrema of Functions of Two Variables
. a0 I8 [# g9 w* C& SSection 7-5     Directional Derivatives, Gradient and Tangent Plane
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; ^# c9 |* e7 W3 K7 n7 U$ XCHAPTER 8      MULTIPLE INTEGRALS
Section 8-1     Integrals over a Rectangle
% y3 H# ^/ W9 y4 Q. e3 V  s2 Z. BSection 8-2     Integrals over a Region
Section 8-3     Three-Dimensional Iterated Integrals
' D0 t! w4 ^8 }, g/ a! U9 u/ cSection 8-4     Multiple Integration in Polar, Cylindrical and  Spherical Coordinates
Section 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