[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
& F  w5 n3 ?. T4 f8 A% ?5 Ihttp://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
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
4.  限于人力、时间等因素，此教学网页暂不设置讨论区

2 o' b/ Y- S* N& {+ [' U( P( \CHAPTER 1  LIMITS OF FUNCTIONS
Section 1-1     Limits
Section 1-2     One-Sided Limit
Section 1-3     Continuity
: Q7 x( Y4 g% B$ O) }6 kSection 1-4     A Limit at Infinity and Infinite Limit
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" R" z2 t5 M, T) i/ sCHAPTER 2  DERIVATIVE
Section 2-1    Definition of Derivative
4 }1 G6 i' |! o4 NSection 2-2    The Rule of Differentiation
- d  S# V& Z, C6 F: M3 h/ [Section 2-3    Chain Rule and Implicit Differentiation
% i- c/ p$ J6 h( nSection 2-4    Derivatives of Exponential and Logarithmic F
Section 2-5    Numerical Approximate –Differentials
" U: Z9 [. T  m1 l$ x) C1 r+ ]Section 2-6    Derivatives of Trigonometric Functions
. a; U) b3 K, j" f4 ]. bSection 2-7    Derivatives of Inverse Trigonometric F

CHAPTER 3  APPLICATIONS OF DERIVATIVES
Section 3-1    The Mean Value Theorem and its Applications
Section 3-2    Increasing and Decreasing Functions
Section 3-3    Maximum and Minimum Values
Section 3-4    The Max -Min Problems
0 y+ O* q7 P, y' rSection 3-5    Concavity and Points of Inflection
* Y$ u+ |/ [* q! E9 t$ |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
　
5 |1 s9 h. l% V  ?CHAPTER 4    THE INDEFINITE INTEGRALS
Section 4-1     Antiderivative and The Indefinite Integrals
Section 4-2     Integration by Changing Variables
Section 4-3     Integration by Parts
7 o. O, Y1 y+ y1 m, O' u, JSection 4-4     The Trigonometric Integrals
Section 4-5     The Integration by Partial Fractions
8 F6 F5 T* x$ u5 I/ ]5 N  u( R' OSection 4-6     Trigonometric and Half-Angle Substitution
　
1 W4 t5 I1 @, L: h5 [- dCHAPTER 5    THE DEFINITE INTEGRALS
Section 5-1    Areas and the Definition of Definite Integral
Section 5-2    The Fundamental Theorem of Calculus
& k5 b, ~: ?7 X6 A" t7 ~9 [Section 5-3    The Approximate Integration
2 O2 C3 ~% L, B5 d, H/ j& HSection 5-4    The Improper Integrals

- M7 ~! [. `4 n. v; [! O" p$ j1 S% gCHAPTER 6    APPLICATIONS OF INTEGRATION
+ H, t- B7 X5 i% X, U% M! N6 b5 Y: QSection 6-1    Areas between Curves
Section 6-2    Areas in Polar Coordinates
Section 6-3    Arc Length
! |4 [4 g! O# aSection 6-4    Volumes and The Volumes of Revolution
Section 6-5    Area of a Surface of Revolution
1 V) `3 I$ x- y2 y8 B0 g3 t5 j  wSection 6-6    Centroid of A Plane Region
Section 6-7    Work and The Problems of The Engineering
　
. e3 }) B1 p! X- \- qCHAPTER 7     PARTIAL DERIVATIVES
. o; o3 L7 Z; c! d& D. k* w$ QSection 7-1     Limits and Continuity
5 C/ B6 |: z5 H1 |4 ESection 7-2     Partial Derivatives
- z5 a) d5 {( ^Section 7-3     The Differentials and Chain Rules
& F1 S# @6 A, r2 u" S9 n$ dSection 7-4     Extrema of Functions of Two Variables
Section 7-5     Directional Derivatives, Gradient and Tangent Plane
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CHAPTER 8      MULTIPLE INTEGRALS
6 D/ N+ _1 F7 v* d$ wSection 8-1     Integrals over a Rectangle
Section 8-2     Integrals over a Region
9 ~+ i* q6 X! |6 uSection 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