[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 P' M6 C& B$ G6 bhttp://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
" P! `- z$ W8 R! q) t/ Y2.  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
6 y$ v8 r: k0 c" H3 N# ]1 S; g4.  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
* ]& c) b) N  R, PSection 1-1     Limits
4 j" |8 d( W3 \6 i  `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
; h4 c' j. ~  _9 S+ I7 nSection 2-1    Definition of Derivative
Section 2-2    The Rule of Differentiation
" F0 D% ~" n  m& Q6 S  q- _# {Section 2-3    Chain Rule and Implicit Differentiation
Section 2-4    Derivatives of Exponential and Logarithmic F
; n! M+ a! f7 G; gSection 2-5    Numerical Approximate –Differentials
Section 2-6    Derivatives of Trigonometric Functions
1 W" m5 H4 {6 q  u; ?Section 2-7    Derivatives of Inverse Trigonometric F

+ Y7 h+ |: L! ECHAPTER 3  APPLICATIONS OF DERIVATIVES
Section 3-1    The Mean Value Theorem and its Applications
Section 3-2    Increasing and Decreasing Functions
, {: b) q2 W/ C% YSection 3-3    Maximum and Minimum Values
Section 3-4    The Max -Min Problems
* r3 L- E& W# v( YSection 3-5    Concavity and Points of Inflection
Section 3-6    Asymptotes
Section 3-7    Sketching curve
Section 3-8    L' Hopital's Rule
5 a1 h5 @; K$ F) n# S' F+ V6 WSection 3-9    Taylor Series
Section 3-10  Applications In Marginal Analysis
, L: P+ G2 t+ O5 t2 Y1 ?Section 3-11  Elasticity
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  N5 C$ V! w* o- b6 x0 S3 hCHAPTER 4    THE INDEFINITE INTEGRALS
Section 4-1     Antiderivative and The Indefinite Integrals
Section 4-2     Integration by Changing Variables
% R- n9 }3 u0 `# R  C$ A# g% BSection 4-3     Integration by Parts
! t9 Q# X3 E4 n$ r0 S% tSection 4-4     The Trigonometric Integrals
* w% e+ C8 S4 \% NSection 4-5     The Integration by Partial Fractions
Section 4-6     Trigonometric and Half-Angle Substitution
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CHAPTER 5    THE DEFINITE INTEGRALS
Section 5-1    Areas and the Definition of Definite Integral
1 V% ?" \8 J& Z% oSection 5-2    The Fundamental Theorem of Calculus
Section 5-3    The Approximate Integration
Section 5-4    The Improper Integrals

2 {  P9 {: L; Y5 ICHAPTER 6    APPLICATIONS OF INTEGRATION
Section 6-1    Areas between Curves
7 E* _* p7 v# I/ H  ~8 _  C. XSection 6-2    Areas in Polar Coordinates
Section 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
Section 6-7    Work and The Problems of The Engineering
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# c( A- Z6 |1 [9 V9 Q" rCHAPTER 7     PARTIAL DERIVATIVES
Section 7-1     Limits and Continuity
Section 7-2     Partial Derivatives
Section 7-3     The Differentials and Chain Rules
$ p+ l/ a' p+ O: W3 TSection 7-4     Extrema of Functions of Two Variables
* i5 y' w! m# Z( r# @$ bSection 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
* t$ G5 v, M3 G- {Section 8-3     Three-Dimensional Iterated Integrals
3 y# C$ `7 u/ r. k; ~% P# r/ g; L  jSection 8-4     Multiple Integration in Polar, Cylindrical and  Spherical Coordinates
' R9 l9 M) V) N+ i1 i& KSection 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