[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
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
* B; E+ y% R& w$ n2.  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
! d5 m& d& N0 U* j! p" n( ~! l) u4.  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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CHAPTER 1  LIMITS OF FUNCTIONS
' O. l$ t. v8 p* g$ dSection 1-1     Limits
" f4 g3 r. I0 `9 ySection 1-2     One-Sided Limit
7 E5 `$ E; M. c) G( U+ H; y7 T% fSection 1-3     Continuity
$ R, {  N2 m" q) j' RSection 1-4     A Limit at Infinity and Infinite Limit
　
CHAPTER 2  DERIVATIVE
Section 2-1    Definition of Derivative
) |" G* y* v1 SSection 2-2    The Rule of Differentiation
" q+ L7 x/ s9 U, N* YSection 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
/ p0 D3 h2 ]# e7 b+ K! iSection 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
+ F, C8 q, U0 a* i) VSection 3-2    Increasing and Decreasing Functions
7 A1 @/ v2 e/ m8 {  i% K% fSection 3-3    Maximum and Minimum Values
Section 3-4    The Max -Min Problems
Section 3-5    Concavity and Points of Inflection
Section 3-6    Asymptotes
, Q; I" a; ?8 J! R5 @Section 3-7    Sketching curve
* W$ ^% W7 g& y7 {$ ~Section 3-8    L' Hopital's Rule
Section 3-9    Taylor Series
, V3 |$ c0 p1 Y, S8 t4 USection 3-10  Applications In Marginal Analysis
2 s! a& T; V2 Y* _: |5 HSection 3-11  Elasticity
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1 h6 j) b' s7 ICHAPTER 4    THE INDEFINITE INTEGRALS
Section 4-1     Antiderivative and The Indefinite Integrals
, q1 p& ^! [. l: BSection 4-2     Integration by Changing Variables
Section 4-3     Integration by Parts
1 Y7 Y& E/ v1 g' W4 V' [4 oSection 4-4     The Trigonometric Integrals
" ]! {' Y& W0 m& w/ m' VSection 4-5     The Integration by Partial Fractions
5 L; Q+ p5 s$ z% PSection 4-6     Trigonometric and Half-Angle Substitution
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CHAPTER 5    THE DEFINITE INTEGRALS
0 y; {, a  L0 D: Y* B; S/ }Section 5-1    Areas and the Definition of Definite Integral
Section 5-2    The Fundamental Theorem of Calculus
Section 5-3    The Approximate Integration
Section 5-4    The Improper Integrals

CHAPTER 6    APPLICATIONS OF INTEGRATION
Section 6-1    Areas between Curves
/ P# W  m6 ^( ?) W7 ^# I7 M3 @Section 6-2    Areas in Polar Coordinates
Section 6-3    Arc Length
Section 6-4    Volumes and The Volumes of Revolution
5 ^! e! m  {5 l/ y" L* DSection 6-5    Area of a Surface of Revolution
Section 6-6    Centroid of A Plane Region
& |& r0 |* x) z$ S$ W, l% T9 d. w$ kSection 6-7    Work and The Problems of The Engineering
　
. |4 x- V8 D+ q* m: u# T0 P5 tCHAPTER 7     PARTIAL DERIVATIVES
Section 7-1     Limits and Continuity
& N3 a% x& }8 ?9 z7 k9 c/ zSection 7-2     Partial Derivatives
Section 7-3     The Differentials and Chain Rules
2 B3 S; a! M# i6 x: I; b. J1 eSection 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
1 f& a1 S2 l9 |& GSection 8-1     Integrals over a Rectangle
Section 8-2     Integrals over a Region
5 I7 @2 J# n: r0 X# G9 D; U" eSection 8-3     Three-Dimensional Iterated Integrals
: v3 R2 C- f9 i7 A9 P& H2 p3 G$ vSection 8-4     Multiple Integration in Polar, Cylindrical and  Spherical Coordinates
$ t$ P% f! O0 p% @Section 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