[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
! D9 x' A/ p& T& u1.  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
( i8 @$ M  L) R5 ]8 f2.  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
3 Z+ y" b) w7 l& w% f/ Q8 D* K4.  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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  Q& X$ U$ Q7 {: g, cCHAPTER 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
　
  n+ D, C" O3 f1 e$ x, @5 }; T3 fCHAPTER 2  DERIVATIVE
0 u; K) z5 Z' G: @; OSection 2-1    Definition of Derivative
Section 2-2    The Rule of Differentiation
Section 2-3    Chain Rule and Implicit Differentiation
$ t; l" z  \0 e, d* ^/ nSection 2-4    Derivatives of Exponential and Logarithmic F
1 ?0 P7 A3 U' }2 Y5 FSection 2-5    Numerical Approximate –Differentials
Section 2-6    Derivatives of Trigonometric Functions
Section 2-7    Derivatives of Inverse Trigonometric F
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9 ?% Y- t6 I: [* pCHAPTER 3  APPLICATIONS OF DERIVATIVES
! X; l( m% W$ c: |2 ]4 lSection 3-1    The Mean Value Theorem and its Applications
* E  B5 ?, [3 i6 ~' K5 V! `4 GSection 3-2    Increasing and Decreasing Functions
! `- m8 e, L% b4 v2 nSection 3-3    Maximum and Minimum Values
3 b8 R( R. d2 m0 d' QSection 3-4    The Max -Min Problems
Section 3-5    Concavity and Points of Inflection
7 m4 a7 m' s0 h/ N; PSection 3-6    Asymptotes
1 V. u0 p. |7 TSection 3-7    Sketching curve
Section 3-8    L' Hopital's Rule
Section 3-9    Taylor Series
! m" ?) G' v% BSection 3-10  Applications In Marginal Analysis
Section 3-11  Elasticity
　
CHAPTER 4    THE INDEFINITE INTEGRALS
4 G- c* b' T3 K0 ?. |! u/ h8 J! [2 R: nSection 4-1     Antiderivative and The Indefinite Integrals
3 _% R- u1 ~* H! m" `; V  G' tSection 4-2     Integration by Changing Variables
4 s. J4 e5 a4 u* n! gSection 4-3     Integration by Parts
Section 4-4     The Trigonometric Integrals
( D5 H/ i6 t# F/ ZSection 4-5     The Integration by Partial Fractions
' S2 w* {5 y( g' E% [! sSection 4-6     Trigonometric and Half-Angle Substitution
　
CHAPTER 5    THE DEFINITE INTEGRALS
! U3 K. t% r; SSection 5-1    Areas and the Definition of Definite Integral
  H* o9 u& l# S6 p% e, ^Section 5-2    The Fundamental Theorem of Calculus
* E/ Z3 X; b0 h" ISection 5-3    The Approximate Integration
' }0 y" \8 C5 K* `Section 5-4    The Improper Integrals
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CHAPTER 6    APPLICATIONS OF INTEGRATION
. C" g! E6 R0 V" p) RSection 6-1    Areas between Curves
Section 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
- T4 t) s9 R8 d4 X1 i  oSection 6-6    Centroid of A Plane Region
Section 6-7    Work and The Problems of The Engineering
　
: z" W9 B+ v3 e3 a) }' C) I/ y; j, tCHAPTER 7     PARTIAL DERIVATIVES
% k, J- T& Y3 C& x7 tSection 7-1     Limits and Continuity
0 O: ~5 A3 t% v* ]6 ASection 7-2     Partial Derivatives
Section 7-3     The Differentials and Chain Rules
% O: n* X% U3 \/ m. b" gSection 7-4     Extrema of Functions of Two Variables
* T; s" m2 Z$ K, R1 _9 r" gSection 7-5     Directional Derivatives, Gradient and Tangent Plane
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CHAPTER 8      MULTIPLE INTEGRALS
7 Y5 H% g1 p% `Section 8-1     Integrals over a Rectangle
Section 8-2     Integrals over a Region
$ w2 d" d' t5 Z1 q. YSection 8-3     Three-Dimensional Iterated Integrals
Section 8-4     Multiple Integration in Polar, Cylindrical and  Spherical Coordinates
5 D( e% h) x, j! Y+ g/ |' c( ESection 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