[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
0 r# p  G. [' R$ Jhttp://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
  H+ T1 }1 L1 u2.  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
1 I& L7 o) z# v5 o- u& T4.  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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+ P2 ]* u6 r5 N0 Z) c- u6 zCHAPTER 1  LIMITS OF FUNCTIONS
Section 1-1     Limits
" h- |+ B3 b) j7 [Section 1-2     One-Sided Limit
0 k. g, ^6 S- V1 l: P8 DSection 1-3     Continuity
" }5 F" z& y5 ?  FSection 1-4     A Limit at Infinity and Infinite Limit
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CHAPTER 2  DERIVATIVE
9 r" @; g: Q; x/ `Section 2-1    Definition of Derivative
% _. L- U9 `& t' s6 t& u# aSection 2-2    The Rule of Differentiation
Section 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

CHAPTER 3  APPLICATIONS OF DERIVATIVES
! @  ]1 \. S6 wSection 3-1    The Mean Value Theorem and its Applications
Section 3-2    Increasing and Decreasing Functions
5 }! e0 H7 Y( [! wSection 3-3    Maximum and Minimum Values
Section 3-4    The Max -Min Problems
Section 3-5    Concavity and Points of Inflection
) ^/ q: j4 x9 M0 C" s8 T" |Section 3-6    Asymptotes
& J1 {8 [' a& r6 u; LSection 3-7    Sketching curve
Section 3-8    L' Hopital's Rule
Section 3-9    Taylor Series
Section 3-10  Applications In Marginal Analysis
Section 3-11  Elasticity
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/ a! t, Q# i8 I* h: \( sCHAPTER 4    THE INDEFINITE INTEGRALS
- x: f! E- F( T) ySection 4-1     Antiderivative and The Indefinite Integrals
: p/ i# P' z/ w! JSection 4-2     Integration by Changing Variables
* O9 @( A& \# A4 H" pSection 4-3     Integration by Parts
/ h3 u- s( ?" c* rSection 4-4     The Trigonometric Integrals
) O9 C! v0 r. c& Y5 eSection 4-5     The Integration by Partial Fractions
- u) D. U0 x' R7 n7 L/ A* cSection 4-6     Trigonometric and Half-Angle Substitution
　
CHAPTER 5    THE DEFINITE INTEGRALS
Section 5-1    Areas and the Definition of Definite Integral
Section 5-2    The Fundamental Theorem of Calculus
, [! e/ w  S% V1 P7 h+ Y4 NSection 5-3    The Approximate Integration
Section 5-4    The Improper Integrals

CHAPTER 6    APPLICATIONS OF INTEGRATION
3 b4 t2 A( E% M& u0 D! VSection 6-1    Areas between Curves
Section 6-2    Areas in Polar Coordinates
Section 6-3    Arc Length
' }. C8 @4 u8 W/ ]! c1 oSection 6-4    Volumes and The Volumes of Revolution
Section 6-5    Area of a Surface of Revolution
5 A7 c" L( V' U  h: U; O/ ^Section 6-6    Centroid of A Plane Region
Section 6-7    Work and The Problems of The Engineering
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  w. `$ m% K5 |% h1 qCHAPTER 7     PARTIAL DERIVATIVES
' q7 h$ O4 E0 y" P# D; S* I7 X& JSection 7-1     Limits and Continuity
Section 7-2     Partial Derivatives
Section 7-3     The Differentials and Chain Rules
( `% r* I7 r7 s6 v; Y1 {6 }+ jSection 7-4     Extrema of Functions of Two Variables
Section 7-5     Directional Derivatives, Gradient and Tangent Plane
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! S0 P9 ]0 m( F6 Y' _CHAPTER 8      MULTIPLE INTEGRALS
) n8 H* G9 p& D8 z; x$ VSection 8-1     Integrals over a Rectangle
Section 8-2     Integrals over a Region
! E3 q# z$ w+ q4 ~( T* ^4 ^" ISection 8-3     Three-Dimensional Iterated Integrals
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