[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
: }  @; i7 h& Z. yhttp://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

2 t/ `/ z5 S* g9 i% x; l1 ?6 B% C0 [CHAPTER 1  LIMITS OF FUNCTIONS
Section 1-1     Limits
Section 1-2     One-Sided Limit
. L' j) F. S+ N# @5 V4 T# w3 HSection 1-3     Continuity
Section 1-4     A Limit at Infinity and Infinite Limit
+ Q) g9 |7 m5 |, y　
CHAPTER 2  DERIVATIVE
Section 2-1    Definition of Derivative
Section 2-2    The Rule of Differentiation
/ t, _- n3 j( }. FSection 2-3    Chain Rule and Implicit Differentiation
+ E% ^' Q& t! ?# F. b8 jSection 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

, g$ e  U2 X5 HCHAPTER 3  APPLICATIONS OF DERIVATIVES
* F/ Y$ i" \& `2 `1 D: A6 cSection 3-1    The Mean Value Theorem and its Applications
& W8 D6 J6 k- b* \# P5 d8 [4 X9 eSection 3-2    Increasing and Decreasing Functions
Section 3-3    Maximum and Minimum Values
: }7 h- {5 M4 V$ M' U. t, xSection 3-4    The Max -Min Problems
Section 3-5    Concavity and Points of Inflection
Section 3-6    Asymptotes
. @7 l  N- X; p# mSection 3-7    Sketching curve
Section 3-8    L' Hopital's Rule
Section 3-9    Taylor Series
Section 3-10  Applications In Marginal Analysis
1 B( Y0 `- q0 C  N, u5 wSection 3-11  Elasticity
( ?# c. x1 _% M6 V0 k: q　
CHAPTER 4    THE INDEFINITE INTEGRALS
Section 4-1     Antiderivative and The Indefinite Integrals
2 i: P* A6 G& b, |Section 4-2     Integration by Changing Variables
Section 4-3     Integration by Parts
Section 4-4     The Trigonometric Integrals
Section 4-5     The Integration by Partial Fractions
" Y( M) n7 }2 q5 j) N# `Section 4-6     Trigonometric and Half-Angle Substitution
　
CHAPTER 5    THE DEFINITE INTEGRALS
+ o2 P) O' ?7 x* ]  s, R/ C. H) SSection 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

* j6 K5 ?& w% e- _2 jCHAPTER 6    APPLICATIONS OF INTEGRATION
) g8 n% u7 S# G: u( g& pSection 6-1    Areas between Curves
- w7 l# j2 V  M1 C5 f% T* o- ?Section 6-2    Areas in Polar Coordinates
8 c( x& |# e9 ]+ K- @+ dSection 6-3    Arc Length
2 B  c6 q# \8 u. f# i$ k! F- WSection 6-4    Volumes and The Volumes of Revolution
6 ]& r7 e5 P6 fSection 6-5    Area of a Surface of Revolution
Section 6-6    Centroid of A Plane Region
& m! F# g5 f. K& O- `Section 6-7    Work and The Problems of The Engineering
5 V+ D% b0 f! D* C( {' f* P　
CHAPTER 7     PARTIAL DERIVATIVES
Section 7-1     Limits and Continuity
' {5 U) {2 W& S0 C9 ]: aSection 7-2     Partial Derivatives
3 P' p: p5 q+ ?/ @! LSection 7-3     The Differentials and Chain Rules
) W" L( _& d! _. i/ K  D3 PSection 7-4     Extrema of Functions of Two Variables
: ~2 ^) ~& C& }/ eSection 7-5     Directional Derivatives, Gradient and Tangent Plane
　
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