[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

CHAPTER 1  LIMITS OF FUNCTIONS
7 T) ?$ Z& E- n3 FSection 1-1     Limits
" ^% y) w9 R$ t. O# A  RSection 1-2     One-Sided Limit
! b& C$ u: U! L2 M/ {; kSection 1-3     Continuity
Section 1-4     A Limit at Infinity and Infinite Limit
　
* _: l( D7 C+ Q4 o- B  b0 aCHAPTER 2  DERIVATIVE
) s1 C# J* I  p0 x' e3 V; L- b9 ISection 2-1    Definition of Derivative
% Z3 ]0 V4 l9 I! T  TSection 2-2    The Rule of Differentiation
Section 2-3    Chain Rule and Implicit Differentiation
Section 2-4    Derivatives of Exponential and Logarithmic F
% g7 h/ ?/ S+ o: z+ [Section 2-5    Numerical Approximate –Differentials
1 p" [- K# \/ W" }Section 2-6    Derivatives of Trigonometric Functions
  v: h. S9 H& h# x9 bSection 2-7    Derivatives of Inverse Trigonometric F
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CHAPTER 3  APPLICATIONS OF DERIVATIVES
Section 3-1    The Mean Value Theorem and its Applications
5 f6 A% F9 e; B1 JSection 3-2    Increasing and Decreasing Functions
Section 3-3    Maximum and Minimum Values
3 S9 _# U0 ], USection 3-4    The Max -Min Problems
4 `3 }- d' }+ e% V% H* b0 @Section 3-5    Concavity and Points of Inflection
Section 3-6    Asymptotes
% Z3 {( ?9 X* l% _5 pSection 3-7    Sketching curve
! N+ g! c+ o, C! O0 [* @# LSection 3-8    L' Hopital's Rule
/ G4 f- i& I% Y5 T5 n& kSection 3-9    Taylor Series
Section 3-10  Applications In Marginal Analysis
: ?8 X+ J: p7 OSection 3-11  Elasticity
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CHAPTER 4    THE INDEFINITE INTEGRALS
* ]# r8 F: c, P/ O$ _Section 4-1     Antiderivative and The Indefinite Integrals
Section 4-2     Integration by Changing Variables
7 H# X% U9 A* rSection 4-3     Integration by Parts
  l5 i1 b8 U# A/ _7 w5 DSection 4-4     The Trigonometric Integrals
Section 4-5     The Integration by Partial Fractions
Section 4-6     Trigonometric and Half-Angle Substitution
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CHAPTER 5    THE DEFINITE INTEGRALS
0 L: s0 _! n5 b+ U9 ~) q7 W* ESection 5-1    Areas and the Definition of Definite Integral
8 Y5 J( P% V# M$ WSection 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
Section 6-1    Areas between Curves
Section 6-2    Areas in Polar Coordinates
$ v7 p: n0 E, h7 S; B0 QSection 6-3    Arc Length
( p4 q8 t5 U* @& s; M% V# T3 tSection 6-4    Volumes and The Volumes of Revolution
5 ^! D& ^7 C& r9 d: hSection 6-5    Area of a Surface of Revolution
Section 6-6    Centroid of A Plane Region
$ }8 W0 a% y% l: T, JSection 6-7    Work and The Problems of The Engineering
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7 [* E% o: L+ p7 g" a2 n; SCHAPTER 7     PARTIAL DERIVATIVES
Section 7-1     Limits and Continuity
Section 7-2     Partial Derivatives
Section 7-3     The Differentials and Chain Rules
! z' j; X4 A. W" {9 x/ |4 z* E4 `Section 7-4     Extrema of Functions of Two Variables
! A+ l1 E' V# F$ [. x4 R, d/ O/ pSection 7-5     Directional Derivatives, Gradient and Tangent Plane
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CHAPTER 8      MULTIPLE INTEGRALS
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