[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
7 q" o3 w$ }  y$ P. R( n: Q8 q- rhttp://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
& `  ?8 C2 e3 C# d' \4 J0 `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
/ ]0 Y7 Z/ q; w! m3.  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
0 u9 P0 ^2 k: d# G! O/ }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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& ~: Q9 a  {9 [8 ?/ [CHAPTER 1  LIMITS OF FUNCTIONS
Section 1-1     Limits
Section 1-2     One-Sided Limit
Section 1-3     Continuity
( _) h! N0 |; a# d9 B& ZSection 1-4     A Limit at Infinity and Infinite Limit
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CHAPTER 2  DERIVATIVE
/ _4 a/ g+ w3 V( }( V( ?Section 2-1    Definition of Derivative
6 h# a% @8 F+ ^* bSection 2-2    The Rule of Differentiation
9 s9 k4 a; R7 d. OSection 2-3    Chain Rule and Implicit Differentiation
$ [0 u& U* K$ k# JSection 2-4    Derivatives of Exponential and Logarithmic F
Section 2-5    Numerical Approximate –Differentials
Section 2-6    Derivatives of Trigonometric Functions
7 G  v% v1 K) g8 j( l1 c, |Section 2-7    Derivatives of Inverse Trigonometric F

7 r& M5 Y! h6 S4 wCHAPTER 3  APPLICATIONS OF DERIVATIVES
+ L( n) ^+ ~: t: W: I/ i: }: c2 c/ kSection 3-1    The Mean Value Theorem and its Applications
Section 3-2    Increasing and Decreasing Functions
( q! {% L, w( d6 ~Section 3-3    Maximum and Minimum Values
Section 3-4    The Max -Min Problems
, n/ {* f8 I( C# wSection 3-5    Concavity and Points of Inflection
$ n, h& v6 I  c$ q0 HSection 3-6    Asymptotes
5 w9 Y1 c+ F$ o5 U' Z4 a. U# ^+ SSection 3-7    Sketching curve
Section 3-8    L' Hopital's Rule
" i' z3 F7 y* t; l5 ?) j  Z/ xSection 3-9    Taylor Series
Section 3-10  Applications In Marginal Analysis
Section 3-11  Elasticity
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9 `! V/ Q) g4 L2 }) `8 VCHAPTER 4    THE INDEFINITE INTEGRALS
Section 4-1     Antiderivative and The Indefinite Integrals
Section 4-2     Integration by Changing Variables
! s+ s: G; \  M1 Z, [* j' I4 ESection 4-3     Integration by Parts
Section 4-4     The Trigonometric Integrals
1 i' F8 Z3 G+ h  S, zSection 4-5     The Integration by Partial Fractions
Section 4-6     Trigonometric and Half-Angle Substitution
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+ S2 \. A; O7 W# x  |$ hCHAPTER 5    THE DEFINITE INTEGRALS
- Y5 i6 A, N' sSection 5-1    Areas and the Definition of Definite Integral
8 t* I3 s- {4 r; E% r% v0 D9 FSection 5-2    The Fundamental Theorem of Calculus
. z4 S  H3 W1 d; |+ ]0 A+ }6 XSection 5-3    The Approximate Integration
2 E* ~- {4 v7 b3 ISection 5-4    The Improper Integrals
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CHAPTER 6    APPLICATIONS OF INTEGRATION
Section 6-1    Areas between Curves
' u$ q3 D$ W: r$ E8 O$ ASection 6-2    Areas in Polar Coordinates
Section 6-3    Arc Length
Section 6-4    Volumes and The Volumes of Revolution
% k! G) w! H9 i* XSection 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
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CHAPTER 7     PARTIAL DERIVATIVES
Section 7-1     Limits and Continuity
Section 7-2     Partial Derivatives
! j( I4 `4 V6 KSection 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
　
/ S+ T8 H) i( i, ~* b7 i5 PCHAPTER 8      MULTIPLE INTEGRALS
0 N7 i( E0 U) @+ y8 pSection 8-1     Integrals over a Rectangle
% g7 h* P6 X! N( m  g* VSection 8-2     Integrals over a Region
: C' {& p$ ?; G0 N% OSection 8-3     Three-Dimensional Iterated Integrals
* ?5 I7 r! r6 ]3 }9 ^% G. cSection 8-4     Multiple Integration in Polar, Cylindrical and  Spherical Coordinates
5 u* n2 v' u8 YSection 8-5     Applications of Multiple Integrals
　

fn001cn

不错不错什么东西都能找到,哈哈.谢了楼主.

sd012

very good!

yhua

yhua