[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
4 d7 w" z; X- U; `http://csm01.csu.edu.tw/0166/2007Ting/index.htm
% G7 O6 }! B7 E. T5 C& |! h1.  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
+ u5 O7 @* c/ P7 B# o) j6 R( q' 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
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
Section 1-1     Limits
Section 1-2     One-Sided Limit
Section 1-3     Continuity
Section 1-4     A Limit at Infinity and Infinite Limit
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$ y$ i" o; W/ Z: Y6 p: rCHAPTER 2  DERIVATIVE
6 _" w; O- }2 z& ^9 sSection 2-1    Definition of Derivative
Section 2-2    The Rule of Differentiation
Section 2-3    Chain Rule and Implicit Differentiation
Section 2-4    Derivatives of Exponential and Logarithmic F
9 {  k( c. [4 C9 vSection 2-5    Numerical Approximate –Differentials
Section 2-6    Derivatives of Trigonometric Functions
% A+ q  w( z6 ]( d; ?) @3 D: PSection 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
/ _  }1 h5 \& }# m9 \1 FSection 3-2    Increasing and Decreasing Functions
Section 3-3    Maximum and Minimum Values
  U: G  Y; g. t% W, kSection 3-4    The Max -Min Problems
Section 3-5    Concavity and Points of Inflection
Section 3-6    Asymptotes
' ?* T* y4 o5 K" uSection 3-7    Sketching curve
; x8 f* m2 R% [' K" y" oSection 3-8    L' Hopital's Rule
9 `/ ?/ ~- M1 q/ s# D, `5 ^% bSection 3-9    Taylor Series
Section 3-10  Applications In Marginal Analysis
( I% S  c* z; c% k$ N- g; @Section 3-11  Elasticity
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, V& ~+ ?4 u% mCHAPTER 4    THE INDEFINITE INTEGRALS
- G0 n( W+ N; c6 e, D) M2 {Section 4-1     Antiderivative and The Indefinite Integrals
: b/ e" o0 M7 B6 W! NSection 4-2     Integration by Changing Variables
2 U; o' v* H% ]0 F2 W: x5 XSection 4-3     Integration by Parts
Section 4-4     The Trigonometric Integrals
Section 4-5     The Integration by Partial Fractions
Section 4-6     Trigonometric and Half-Angle Substitution
　
9 [7 n; v" o1 ECHAPTER 5    THE DEFINITE INTEGRALS
' Q3 z/ P0 F9 d& f" K  o+ GSection 5-1    Areas and the Definition of Definite Integral
8 ^# \2 M9 }2 L1 M# PSection 5-2    The Fundamental Theorem of Calculus
Section 5-3    The Approximate Integration
Section 5-4    The Improper Integrals

CHAPTER 6    APPLICATIONS OF INTEGRATION
Section 6-1    Areas between Curves
Section 6-2    Areas in Polar Coordinates
; m9 h. z( z- _$ X' g8 f/ mSection 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
　
CHAPTER 7     PARTIAL DERIVATIVES
7 |( T; k# q( ]. l# @- |Section 7-1     Limits and Continuity
7 e! A# o0 i5 @2 o& f  L3 HSection 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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5 |- Q1 f. a" p; p) a% `: C6 }- OCHAPTER 8      MULTIPLE INTEGRALS
Section 8-1     Integrals over a Rectangle
Section 8-2     Integrals over a Region
Section 8-3     Three-Dimensional Iterated Integrals
4 D: v1 x) y+ ~3 [Section 8-4     Multiple Integration in Polar, Cylindrical and  Spherical Coordinates
Section 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