[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
$ E' F% _0 U: H1.  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
, g: x- G* R" c8 T* {7 b0 @4.  限于人力、时间等因素，此教学网页暂不设置讨论区

CHAPTER 1  LIMITS OF FUNCTIONS
. k# H1 C0 l" D2 \Section 1-1     Limits
Section 1-2     One-Sided Limit
Section 1-3     Continuity
; P6 t; m- I$ u3 H( XSection 1-4     A Limit at Infinity and Infinite Limit
& Y, I' e1 B- x6 F$ b. h6 f　
1 i5 {! @: v% ZCHAPTER 2  DERIVATIVE
+ W& j  C: Y. R% ~! V0 QSection 2-1    Definition of Derivative
: E; |! g7 c9 X- `9 P) JSection 2-2    The Rule of Differentiation
Section 2-3    Chain Rule and Implicit Differentiation
9 A3 ?) H* B4 b. g$ eSection 2-4    Derivatives of Exponential and Logarithmic F
Section 2-5    Numerical Approximate –Differentials
* h8 v; W) p. w7 qSection 2-6    Derivatives of Trigonometric Functions
Section 2-7    Derivatives of Inverse Trigonometric F
5 v; C. }& p. g) v1 \8 B
CHAPTER 3  APPLICATIONS OF DERIVATIVES
Section 3-1    The Mean Value Theorem and its Applications
4 L* f) W5 [! W, ~1 z$ VSection 3-2    Increasing and Decreasing Functions
Section 3-3    Maximum and Minimum Values
- Z+ l) E7 N* `/ v" I0 T# SSection 3-4    The Max -Min Problems
Section 3-5    Concavity and Points of Inflection
" h1 G/ [& @* F6 ~% q! t5 N0 q) N$ sSection 3-6    Asymptotes
Section 3-7    Sketching curve
7 M7 l# |* [, M5 u9 T% v9 A2 g3 P6 sSection 3-8    L' Hopital's Rule
Section 3-9    Taylor Series
) A: A$ \' {- \3 h9 FSection 3-10  Applications In Marginal Analysis
% Q# C6 x/ i% U. B0 l$ b2 JSection 3-11  Elasticity
　
CHAPTER 4    THE INDEFINITE INTEGRALS
Section 4-1     Antiderivative and The Indefinite Integrals
5 d% Y9 ?9 |$ Q7 dSection 4-2     Integration by Changing Variables
" R, n! C% ]' T  S: F  w( d; e9 ?Section 4-3     Integration by Parts
3 p+ T; H! M8 p3 @+ V! qSection 4-4     The Trigonometric Integrals
9 z% I- `2 A; C8 U$ O, B; lSection 4-5     The Integration by Partial Fractions
$ _  [  f$ V4 ?% O' W" BSection 4-6     Trigonometric and Half-Angle Substitution
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+ E+ n. I- E- Y: |5 VCHAPTER 5    THE DEFINITE INTEGRALS
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
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1 G1 @  a& P/ T6 n: q3 e) \6 nCHAPTER 6    APPLICATIONS OF INTEGRATION
Section 6-1    Areas between Curves
  |& Z' e6 f0 p( i8 m' `. Q6 e- `# sSection 6-2    Areas in Polar Coordinates
; L4 |0 _* {8 }8 q" c* {Section 6-3    Arc Length
2 t* p; W. L, V! W; sSection 6-4    Volumes and The Volumes of Revolution
Section 6-5    Area of a Surface of Revolution
Section 6-6    Centroid of A Plane Region
$ ~0 I  X! f/ u4 A1 aSection 6-7    Work and The Problems of The Engineering
　
1 p- Z5 M, @& ACHAPTER 7     PARTIAL DERIVATIVES
Section 7-1     Limits and Continuity
1 X+ q3 @% W% N- v. vSection 7-2     Partial Derivatives
1 v  r9 A& b# E1 g7 U/ jSection 7-3     The Differentials and Chain Rules
+ T- \, W, U3 D6 \# W# GSection 7-4     Extrema of Functions of Two Variables
Section 7-5     Directional Derivatives, Gradient and Tangent Plane
+ V# z: H( O% r) Y6 {- s　
CHAPTER 8      MULTIPLE INTEGRALS
Section 8-1     Integrals over a Rectangle
* Z! A, S" p% G. c  m+ C& HSection 8-2     Integrals over a Region
5 w% M: R" a2 t5 Q# P  PSection 8-3     Three-Dimensional Iterated Integrals
Section 8-4     Multiple Integration in Polar, Cylindrical and  Spherical Coordinates
! E: R2 P% G# f( F- USection 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