[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
# v, {( g: O9 ^" j6 I0 Ghttp://csm01.csu.edu.tw/0166/2007Ting/index.htm
& e" ^" r2 J6 g1.  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
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$ U  a3 ^! _  b; F4.  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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3 {( d( y2 u5 E  ~0 V$ u: [CHAPTER 1  LIMITS OF FUNCTIONS
7 E2 ~% z* U9 o! ?Section 1-1     Limits
  Z3 r# i8 ], i( F6 jSection 1-2     One-Sided Limit
Section 1-3     Continuity
Section 1-4     A Limit at Infinity and Infinite Limit
　
CHAPTER 2  DERIVATIVE
' t6 Z3 G8 g' G# M1 r+ `+ A7 h3 MSection 2-1    Definition of Derivative
Section 2-2    The Rule of Differentiation
  T6 Q" B7 i6 Y* ^5 v7 A# K, M# M# @) }Section 2-3    Chain Rule and Implicit Differentiation
: m7 w* j; F; s$ E! iSection 2-4    Derivatives of Exponential and Logarithmic F
Section 2-5    Numerical Approximate –Differentials
Section 2-6    Derivatives of Trigonometric Functions
Section 2-7    Derivatives of Inverse Trigonometric F

( ^( Y( l2 l9 g$ Y$ L/ \* wCHAPTER 3  APPLICATIONS OF DERIVATIVES
Section 3-1    The Mean Value Theorem and its Applications
3 @% Q# j  y) F/ r2 KSection 3-2    Increasing and Decreasing Functions
7 c, G' Z4 [/ q. b6 L4 qSection 3-3    Maximum and Minimum Values
& f( N9 L7 g( W& N( R5 M* j0 S, LSection 3-4    The Max -Min Problems
( p: J2 K. r$ H; TSection 3-5    Concavity and Points of Inflection
2 l4 V4 m+ b6 v4 Y4 n8 Z$ n' vSection 3-6    Asymptotes
3 \: x. ~2 a& f# m- ]$ l$ |* iSection 3-7    Sketching curve
Section 3-8    L' Hopital's Rule
5 a' D" |5 x: p, hSection 3-9    Taylor Series
Section 3-10  Applications In Marginal Analysis
Section 3-11  Elasticity
　
CHAPTER 4    THE INDEFINITE INTEGRALS
  G, j3 m. }$ Y, p& f+ oSection 4-1     Antiderivative and The Indefinite Integrals
- U+ Z7 I7 r: D, \# ~/ ^/ TSection 4-2     Integration by Changing Variables
. o# R7 v1 L# M$ Q9 n% a& z, @Section 4-3     Integration by Parts
% T, e+ |% x/ P% o3 ?Section 4-4     The Trigonometric Integrals
Section 4-5     The Integration by Partial Fractions
Section 4-6     Trigonometric and Half-Angle Substitution
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CHAPTER 5    THE DEFINITE INTEGRALS
* z: X. Q6 g" USection 5-1    Areas and the Definition of Definite Integral
Section 5-2    The Fundamental Theorem of Calculus
Section 5-3    The Approximate Integration
5 j; V  C. }4 ]/ m- {Section 5-4    The Improper Integrals
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4 @6 F0 D# `  Y( F# Z# nCHAPTER 6    APPLICATIONS OF INTEGRATION
# `/ B, X. _# |Section 6-1    Areas between Curves
) n' T! p& b4 pSection 6-2    Areas in Polar Coordinates
7 ^1 S$ Y$ r6 u% ?7 dSection 6-3    Arc Length
Section 6-4    Volumes and The Volumes of Revolution
& ?& t1 n( O) J! p- N0 g) t) @Section 6-5    Area of a Surface of Revolution
' t/ t3 ]7 T7 R! Q; J  sSection 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
/ F. L2 D3 f5 ~) ?6 a# s3 zSection 7-2     Partial Derivatives
Section 7-3     The Differentials and Chain Rules
Section 7-4     Extrema of Functions of Two Variables
5 y/ ?6 e* B( V: Z$ r& dSection 7-5     Directional Derivatives, Gradient and Tangent Plane
　
CHAPTER 8      MULTIPLE INTEGRALS
Section 8-1     Integrals over a Rectangle
# B; p7 B7 O) x' J' \) SSection 8-2     Integrals over a Region
- b0 Q% j# q% d' oSection 8-3     Three-Dimensional Iterated Integrals
Section 8-4     Multiple Integration in Polar, Cylindrical and  Spherical Coordinates
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