[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
5 v7 K9 J, ~  y# X. j* i8 N1.  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$ W8 T7 S# k' z9 L3 k2.  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 G) k1 a7 J8 _2 \# E7 O2 ?4.  限于人力、时间等因素，此教学网页暂不设置讨论区

/ {1 e1 _* F: {2 X6 ]' U. [/ HCHAPTER 1  LIMITS OF FUNCTIONS
0 i1 x9 j: I+ j0 JSection 1-1     Limits
  C2 n' k8 `) _8 F$ rSection 1-2     One-Sided Limit
Section 1-3     Continuity
; r/ D5 G8 ?! b' ^& R% bSection 1-4     A Limit at Infinity and Infinite Limit
　
CHAPTER 2  DERIVATIVE
7 o1 J0 f* ^: v3 a- O* bSection 2-1    Definition of Derivative
' q0 Q8 t* ]$ E4 |) B  j( M1 JSection 2-2    The Rule of Differentiation
: {" B. ^. L" Q% ]3 Y6 ]% xSection 2-3    Chain Rule and Implicit Differentiation
3 V4 F  N, `, f0 V% zSection 2-4    Derivatives of Exponential and Logarithmic F
5 V! |& {5 d. @5 ASection 2-5    Numerical Approximate –Differentials
Section 2-6    Derivatives of Trigonometric Functions
5 A+ T6 b' `- c1 uSection 2-7    Derivatives of Inverse Trigonometric F

& S& `* K8 K0 s/ [% i5 J4 ?4 `CHAPTER 3  APPLICATIONS OF DERIVATIVES
8 @6 d; C0 R6 HSection 3-1    The Mean Value Theorem and its Applications
Section 3-2    Increasing and Decreasing Functions
& w! g1 X1 j- X3 k; p) z' aSection 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
7 s) p$ W9 o4 _Section 3-7    Sketching curve
Section 3-8    L' Hopital's Rule
0 h0 O4 A1 w! A. MSection 3-9    Taylor Series
Section 3-10  Applications In Marginal Analysis
Section 3-11  Elasticity
　
CHAPTER 4    THE INDEFINITE INTEGRALS
Section 4-1     Antiderivative and The Indefinite Integrals
- T( ^8 }: i' l3 G0 G* u* s7 A# J2 C1 eSection 4-2     Integration by Changing Variables
Section 4-3     Integration by Parts
Section 4-4     The Trigonometric Integrals
" E  X. |. x! J! ~Section 4-5     The Integration by Partial Fractions
5 p$ a' E# }! u. m6 f3 r1 hSection 4-6     Trigonometric and Half-Angle Substitution
: F" O+ o5 G* i! a% ~  x% }# T6 {　
4 h& E+ G% D) b- j$ B! V9 B* zCHAPTER 5    THE DEFINITE INTEGRALS
9 v7 ?- o) r' U/ k5 xSection 5-1    Areas and the Definition of Definite Integral
- g5 `8 h- s3 ?2 WSection 5-2    The Fundamental Theorem of Calculus
Section 5-3    The Approximate Integration
' I: ^4 f! ^; K5 i0 f( SSection 5-4    The Improper Integrals

CHAPTER 6    APPLICATIONS OF INTEGRATION
Section 6-1    Areas between Curves
6 s5 O4 x- t2 I( g0 ?. W$ L; j: CSection 6-2    Areas in Polar Coordinates
Section 6-3    Arc Length
  j" G; u4 e/ P; @& U0 VSection 6-4    Volumes and The Volumes of Revolution
1 N; Z$ y# k7 O7 a; w& JSection 6-5    Area of a Surface of Revolution
Section 6-6    Centroid of A Plane Region
: @) p4 M' |! Y' J: CSection 6-7    Work and The Problems of The Engineering
　
" L1 d. e& m6 q+ k3 q2 `CHAPTER 7     PARTIAL DERIVATIVES
  Y( o5 G3 n9 YSection 7-1     Limits and Continuity
Section 7-2     Partial Derivatives
Section 7-3     The Differentials and Chain Rules
Section 7-4     Extrema of Functions of Two Variables
  {. o0 H+ l9 K, _0 g3 jSection 7-5     Directional Derivatives, Gradient and Tangent Plane
8 ^' I8 f3 L5 S  A" J　
) Z- z0 B9 p  vCHAPTER 8      MULTIPLE INTEGRALS
! f4 }; ^! C' x% s: y4 b! ZSection 8-1     Integrals over a Rectangle
Section 8-2     Integrals over a Region
Section 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