[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
& U  D$ M1 u; Dhttp://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

* m9 q2 \3 v9 U$ ^9 fCHAPTER 1  LIMITS OF FUNCTIONS
Section 1-1     Limits
Section 1-2     One-Sided Limit
Section 1-3     Continuity
3 s1 D4 t' u7 O  @% [Section 1-4     A Limit at Infinity and Infinite Limit
　
% r3 U* j/ s$ s# F& u# y+ gCHAPTER 2  DERIVATIVE
Section 2-1    Definition of Derivative
4 Y2 x, `1 N7 o5 MSection 2-2    The Rule of Differentiation
Section 2-3    Chain Rule and Implicit Differentiation
5 y5 \! D& T* ^Section 2-4    Derivatives of Exponential and Logarithmic F
% ^! H5 u. r# h6 {  l1 {0 ^$ ESection 2-5    Numerical Approximate –Differentials
Section 2-6    Derivatives of Trigonometric Functions
- _, b9 L' s( ?Section 2-7    Derivatives of Inverse Trigonometric F

8 S# m* Y8 V8 c* xCHAPTER 3  APPLICATIONS OF DERIVATIVES
3 L" U3 q) Q2 a1 vSection 3-1    The Mean Value Theorem and its Applications
+ e+ g6 L: z' VSection 3-2    Increasing and Decreasing Functions
Section 3-3    Maximum and Minimum Values
Section 3-4    The Max -Min Problems
Section 3-5    Concavity and Points of Inflection
& e& \$ U- F% _+ j- E1 T3 pSection 3-6    Asymptotes
8 v$ r* w* R: Q; r. L% T4 XSection 3-7    Sketching curve
2 k( t7 l1 x3 s7 {; q9 w6 ESection 3-8    L' Hopital's Rule
7 G1 M& m3 b4 Y' XSection 3-9    Taylor Series
  @0 e: I" b8 P4 bSection 3-10  Applications In Marginal Analysis
Section 3-11  Elasticity
9 u+ d9 E! S* c  x3 m　
4 I- }$ g  h" RCHAPTER 4    THE INDEFINITE INTEGRALS
Section 4-1     Antiderivative and The Indefinite Integrals
; t8 Q3 g/ N8 SSection 4-2     Integration by Changing Variables
Section 4-3     Integration by Parts
. ~+ Z" P9 Q: G* {+ E* [* J4 pSection 4-4     The Trigonometric Integrals
7 V0 i8 L# M4 J9 R0 `3 CSection 4-5     The Integration by Partial Fractions
Section 4-6     Trigonometric and Half-Angle Substitution
　
, x5 s0 K5 _+ R; Q  C# }CHAPTER 5    THE DEFINITE INTEGRALS
$ `/ C# L$ d( a* l. OSection 5-1    Areas and the Definition of Definite Integral
Section 5-2    The Fundamental Theorem of Calculus
& R+ Z2 X/ h- TSection 5-3    The Approximate Integration
0 F) n0 [% Q7 t% rSection 5-4    The Improper Integrals

, ~* j0 m, R( y) e8 L$ v) FCHAPTER 6    APPLICATIONS OF INTEGRATION
; X  O: u4 M; uSection 6-1    Areas between Curves
: \7 m4 M# h# f" d) B6 W9 E+ jSection 6-2    Areas in Polar Coordinates
9 O* x/ K. O' YSection 6-3    Arc Length
Section 6-4    Volumes and The Volumes of Revolution
2 f! {6 S! }4 x* `Section 6-5    Area of a Surface of Revolution
Section 6-6    Centroid of A Plane Region
( m5 o6 @# Q5 nSection 6-7    Work and The Problems of The Engineering
　
. f& ?( M" h, ]- x" LCHAPTER 7     PARTIAL DERIVATIVES
6 g: [; j' g; h7 b( r/ G/ cSection 7-1     Limits and Continuity
. x, u, d2 V0 b- XSection 7-2     Partial Derivatives
Section 7-3     The Differentials and Chain Rules
0 V! \1 E: v3 q) D, P' j0 WSection 7-4     Extrema of Functions of Two Variables
Section 7-5     Directional Derivatives, Gradient and Tangent Plane
% G0 J0 ~) y6 S' q1 {& _　
CHAPTER 8      MULTIPLE INTEGRALS
Section 8-1     Integrals over a Rectangle
# _/ T9 l* Z& e0 JSection 8-2     Integrals over a Region
Section 8-3     Three-Dimensional Iterated Integrals
  G" J3 J1 H) _/ n( fSection 8-4     Multiple Integration in Polar, Cylindrical and  Spherical Coordinates
9 f. {8 M- [! ~! h% o3 pSection 8-5     Applications of Multiple Integrals
" ?( B" P& g( a* u# N　

fn001cn

不错不错什么东西都能找到,哈哈.谢了楼主.

sd012

very good!

yhua

yhua