[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
; ~8 h! u* _) N# d3.  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
$ S2 ?* @. ?% {3 k- i( O0 v4.  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
Section 1-1     Limits
/ b& _1 P; C% KSection 1-2     One-Sided Limit
" l0 S- F7 k8 p( p, oSection 1-3     Continuity
9 r9 k) w$ O$ G' T8 C# j* @Section 1-4     A Limit at Infinity and Infinite Limit
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CHAPTER 2  DERIVATIVE
- z+ N: V# j- u2 e( jSection 2-1    Definition of Derivative
. {7 O) g  x$ |3 Q, {, d( S: t3 t* sSection 2-2    The Rule of Differentiation
Section 2-3    Chain Rule and Implicit Differentiation
7 k5 L1 F# c6 H0 d5 Y2 K+ r& G4 eSection 2-4    Derivatives of Exponential and Logarithmic F
Section 2-5    Numerical Approximate –Differentials
$ C# E5 b1 V& e& f9 Y, KSection 2-6    Derivatives of Trigonometric Functions
: `2 x, j2 q) ~8 qSection 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
Section 3-2    Increasing and Decreasing Functions
Section 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
Section 3-7    Sketching curve
6 G! j/ H3 V2 P( |9 Y, JSection 3-8    L' Hopital's Rule
Section 3-9    Taylor Series
Section 3-10  Applications In Marginal Analysis
Section 3-11  Elasticity
　
* ^) ~" L5 S1 Q, K( i2 s7 Z; A2 o# m7 wCHAPTER 4    THE INDEFINITE INTEGRALS
( n. N" l1 s  b, tSection 4-1     Antiderivative and The Indefinite Integrals
Section 4-2     Integration by Changing Variables
* P) q; k3 p4 wSection 4-3     Integration by Parts
9 k6 K6 `% r3 pSection 4-4     The Trigonometric Integrals
9 N' w: _( s5 T; H4 _  ySection 4-5     The Integration by Partial Fractions
) r9 [2 e. o: D$ f' GSection 4-6     Trigonometric and Half-Angle Substitution
　
6 R' P: |5 k8 Y% T* y7 nCHAPTER 5    THE DEFINITE INTEGRALS
! `4 ]* ]: t7 U# A; DSection 5-1    Areas and the Definition of Definite Integral
Section 5-2    The Fundamental Theorem of Calculus
5 v+ L, m! Y6 Z" K  @; |* m! `Section 5-3    The Approximate Integration
6 y& R! M8 u4 aSection 5-4    The Improper Integrals

CHAPTER 6    APPLICATIONS OF INTEGRATION
Section 6-1    Areas between Curves
Section 6-2    Areas in Polar Coordinates
2 C' {+ P- f* i5 L6 HSection 6-3    Arc Length
Section 6-4    Volumes and The Volumes of Revolution
Section 6-5    Area of a Surface of Revolution
Section 6-6    Centroid of A Plane Region
. S) z/ n! Z/ X; }: GSection 6-7    Work and The Problems of The Engineering
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0 o) z$ h: I' M$ e# H: k, Q( VCHAPTER 7     PARTIAL DERIVATIVES
Section 7-1     Limits and Continuity
* Z$ _5 g) j. o5 O) @% xSection 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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; \& a+ P( r( S6 D  U- MCHAPTER 8      MULTIPLE INTEGRALS
Section 8-1     Integrals over a Rectangle
( k6 i% ~% P& E/ n' tSection 8-2     Integrals over a Region
, O' H2 L  ?7 }+ ASection 8-3     Three-Dimensional Iterated Integrals
Section 8-4     Multiple Integration in Polar, Cylindrical and  Spherical Coordinates
: S1 U: L  z( y$ }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