[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
8 S0 }7 Z( g2 U0 i. _" [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
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CHAPTER 1  LIMITS OF FUNCTIONS
! ~2 o' m! E5 y' i3 u) Y8 G+ Y# ^Section 1-1     Limits
7 l9 a  N8 Z# N# i0 f1 _Section 1-2     One-Sided Limit
Section 1-3     Continuity
Section 1-4     A Limit at Infinity and Infinite Limit
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CHAPTER 2  DERIVATIVE
Section 2-1    Definition of Derivative
% C: D4 b  F2 t. _/ C0 _4 GSection 2-2    The Rule of Differentiation
/ g/ i% g5 @( v- B' }8 rSection 2-3    Chain Rule and Implicit Differentiation
Section 2-4    Derivatives of Exponential and Logarithmic F
Section 2-5    Numerical Approximate –Differentials
Section 2-6    Derivatives of Trigonometric Functions
Section 2-7    Derivatives of Inverse Trigonometric F

( i  q2 o3 ]3 Y0 E& KCHAPTER 3  APPLICATIONS OF DERIVATIVES
Section 3-1    The Mean Value Theorem and its Applications
, T4 e8 R6 p3 \% V6 e1 z8 ~; f/ ]Section 3-2    Increasing and Decreasing Functions
$ t! p4 A7 }" b5 Q( v$ VSection 3-3    Maximum and Minimum Values
Section 3-4    The Max -Min Problems
8 N* Q8 B) w+ {% DSection 3-5    Concavity and Points of Inflection
2 T' ~4 q7 g6 B' D$ YSection 3-6    Asymptotes
5 o( _0 w4 M+ U2 J' b6 sSection 3-7    Sketching curve
6 f' B6 ^6 A6 S7 D6 b! wSection 3-8    L' Hopital's Rule
Section 3-9    Taylor Series
Section 3-10  Applications In Marginal Analysis
Section 3-11  Elasticity
　
CHAPTER 4    THE INDEFINITE INTEGRALS
' _* w) f& G0 ]Section 4-1     Antiderivative and The Indefinite Integrals
2 L6 A5 a! H- ?' Z8 q) B7 t6 Q( {Section 4-2     Integration by Changing Variables
" H/ p, R- i8 F  v5 ISection 4-3     Integration by Parts
Section 4-4     The Trigonometric Integrals
+ w5 }6 o% L/ @( x5 GSection 4-5     The Integration by Partial Fractions
' J# r% o$ O) X  n% eSection 4-6     Trigonometric and Half-Angle Substitution
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% J. I+ R. z. MCHAPTER 5    THE DEFINITE INTEGRALS
1 @' X" o& R+ c  N1 aSection 5-1    Areas and the Definition of Definite Integral
; b. u) ~" d. q# c! hSection 5-2    The Fundamental Theorem of Calculus
) v3 j  T' Q1 c1 {Section 5-3    The Approximate Integration
9 r% R# H( _% w" k; MSection 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
Section 6-3    Arc Length
: Q& W0 Y) k9 i% e) B+ u$ QSection 6-4    Volumes and The Volumes of Revolution
9 m; t* H0 U. k( JSection 6-5    Area of a Surface of Revolution
Section 6-6    Centroid of A Plane Region
1 G0 H" E+ @; Q+ c# V/ YSection 6-7    Work and The Problems of The Engineering
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- w3 J% z7 l  ?+ f  l/ m5 KCHAPTER 7     PARTIAL DERIVATIVES
Section 7-1     Limits and Continuity
Section 7-2     Partial Derivatives
Section 7-3     The Differentials and Chain Rules
/ f, t9 F' ]. _3 g9 s9 xSection 7-4     Extrema of Functions of Two Variables
Section 7-5     Directional Derivatives, Gradient and Tangent Plane
　
CHAPTER 8      MULTIPLE INTEGRALS
9 ~/ d/ Z8 H8 h6 l- u( B$ YSection 8-1     Integrals over a Rectangle
' F: v/ _* @* f5 B, D, U4 ]3 RSection 8-2     Integrals over a Region
Section 8-3     Three-Dimensional Iterated Integrals
" \+ o2 q4 f8 Z+ A6 ^5 ]- Z8 {4 GSection 8-4     Multiple Integration in Polar, Cylindrical and  Spherical Coordinates
1 V, l) X7 m2 F  ~3 X- H9 ySection 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