[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
1 U  G+ Q9 {$ d7 thttp://csm01.csu.edu.tw/0166/2007Ting/index.htm
9 f; o- r# S. U: {4 b1.  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
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
2 y8 @2 m2 p. ^$ J& \4.  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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2 o; U; _4 Y4 @  T8 {CHAPTER 1  LIMITS OF FUNCTIONS
Section 1-1     Limits
Section 1-2     One-Sided Limit
7 y1 a$ H) k' U9 R' w( O  ^5 q  zSection 1-3     Continuity
Section 1-4     A Limit at Infinity and Infinite Limit
　
CHAPTER 2  DERIVATIVE
5 e1 T$ {- Z2 }5 A4 Q; HSection 2-1    Definition of Derivative
Section 2-2    The Rule of Differentiation
) W$ t; C. c5 {- y% DSection 2-3    Chain Rule and Implicit Differentiation
9 O: p. d9 y0 h& Q) h+ PSection 2-4    Derivatives of Exponential and Logarithmic F
$ ]7 m7 t8 H# K$ s: ^2 {4 k) F4 TSection 2-5    Numerical Approximate –Differentials
# Y" d; T% ]. s7 ]Section 2-6    Derivatives of Trigonometric Functions
4 `$ g- M: z- ]2 K8 ~8 ySection 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
7 m; r/ a8 u. U- o% Z9 RSection 3-3    Maximum and Minimum Values
+ G: `+ O; |# H) I: J& pSection 3-4    The Max -Min Problems
1 L$ s9 G( v* X* Z4 J) ^Section 3-5    Concavity and Points of Inflection
Section 3-6    Asymptotes
Section 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
　
CHAPTER 4    THE INDEFINITE INTEGRALS
Section 4-1     Antiderivative and The Indefinite Integrals
! x; I$ D) T: c) a4 t! uSection 4-2     Integration by Changing Variables
Section 4-3     Integration by Parts
Section 4-4     The Trigonometric Integrals
5 z6 M0 `9 P  Q. F, A2 q  @" `Section 4-5     The Integration by Partial Fractions
+ {$ I7 v) Q- t+ Z% ]0 n5 dSection 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
# Y  ~- ^& ?, M. L! vSection 5-3    The Approximate Integration
Section 5-4    The Improper Integrals

! s* E  S) K+ \( u1 RCHAPTER 6    APPLICATIONS OF INTEGRATION
Section 6-1    Areas between Curves
: V( X# f9 _: T- \8 x# o3 mSection 6-2    Areas in Polar Coordinates
* B" K! D& c' V, `7 GSection 6-3    Arc Length
Section 6-4    Volumes and The Volumes of Revolution
5 p# Z5 i, ]7 V/ H; }7 dSection 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
　
% {8 {; @4 k* W* f" z& O; y5 sCHAPTER 7     PARTIAL DERIVATIVES
Section 7-1     Limits and Continuity
Section 7-2     Partial Derivatives
Section 7-3     The Differentials and Chain Rules
+ Q! B- S9 j5 G9 p2 X) @Section 7-4     Extrema of Functions of Two Variables
Section 7-5     Directional Derivatives, Gradient and Tangent Plane
　
CHAPTER 8      MULTIPLE INTEGRALS
1 Y/ K3 y2 @  ]1 _9 V/ E, z: S% ySection 8-1     Integrals over a Rectangle
Section 8-2     Integrals over a Region
Section 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