[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
, ^) V6 j+ @, N: W$ o9 y. K/ Lhttp://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
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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
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0 l- V# B1 b$ N- T7 Q; w3 K8 ICHAPTER 1  LIMITS OF FUNCTIONS
" f, T* \) e& R# W8 WSection 1-1     Limits
Section 1-2     One-Sided Limit
Section 1-3     Continuity
Section 1-4     A Limit at Infinity and Infinite Limit
　
& J  H% u7 B% b9 i+ Q% F! f, FCHAPTER 2  DERIVATIVE
Section 2-1    Definition of Derivative
: K9 w6 \* m- \3 H& WSection 2-2    The Rule of Differentiation
Section 2-3    Chain Rule and Implicit Differentiation
Section 2-4    Derivatives of Exponential and Logarithmic F
; ?" D- ]: o3 ?7 ]7 s) [/ n% p) hSection 2-5    Numerical Approximate –Differentials
  Y; l$ q9 G! A$ G! vSection 2-6    Derivatives of Trigonometric Functions
/ r& V. F1 Q: W. Q7 q6 z. d, Y- 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
Section 3-2    Increasing and Decreasing Functions
* Y0 r8 k! m; w/ q: T( I' M  y5 G% k5 [Section 3-3    Maximum and Minimum Values
Section 3-4    The Max -Min Problems
Section 3-5    Concavity and Points of Inflection
6 ]' h1 O- g/ e* r/ C  {" d6 lSection 3-6    Asymptotes
Section 3-7    Sketching curve
Section 3-8    L' Hopital's Rule
% |& H, f* L, }9 eSection 3-9    Taylor Series
Section 3-10  Applications In Marginal Analysis
Section 3-11  Elasticity
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CHAPTER 4    THE INDEFINITE INTEGRALS
9 N8 @$ O, h' h- N( h7 [0 |Section 4-1     Antiderivative and The Indefinite Integrals
Section 4-2     Integration by Changing Variables
Section 4-3     Integration by Parts
6 Q5 q1 B" e; ?; q) k) r, [Section 4-4     The Trigonometric Integrals
# q: u- r! c. W# K- b" JSection 4-5     The Integration by Partial Fractions
Section 4-6     Trigonometric and Half-Angle Substitution
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. y: q1 Q( w/ R9 D* VCHAPTER 5    THE DEFINITE INTEGRALS
& _) y) n; F+ y, q* t' m: PSection 5-1    Areas and the Definition of Definite Integral
Section 5-2    The Fundamental Theorem of Calculus
$ {  ?/ H2 t' i. JSection 5-3    The Approximate Integration
Section 5-4    The Improper Integrals
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CHAPTER 6    APPLICATIONS OF INTEGRATION
1 Y) F3 X0 w# O$ kSection 6-1    Areas between Curves
Section 6-2    Areas in Polar Coordinates
Section 6-3    Arc Length
5 l7 B% ^2 i8 J" J3 [7 bSection 6-4    Volumes and The Volumes of Revolution
: h0 O9 v9 A  W# U* Y$ z8 |1 b: xSection 6-5    Area of a Surface of Revolution
* D6 A( |; X* P+ E# y# rSection 6-6    Centroid of A Plane Region
: Z$ [6 n/ l9 JSection 6-7    Work and The Problems of The Engineering
　
CHAPTER 7     PARTIAL DERIVATIVES
/ [- r, Q6 n2 J) kSection 7-1     Limits and Continuity
Section 7-2     Partial Derivatives
Section 7-3     The Differentials and Chain Rules
0 X0 v; X1 u4 C8 R, RSection 7-4     Extrema of Functions of Two Variables
% o3 D! `* k$ ^/ G9 Z' GSection 7-5     Directional Derivatives, Gradient and Tangent Plane
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CHAPTER 8      MULTIPLE INTEGRALS
Section 8-1     Integrals over a Rectangle
1 o) m2 K: B0 [' D* L& d& T8 gSection 8-2     Integrals over a Region
; B9 [3 w1 W/ Z3 G6 A9 f& B& }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
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fn001cn

不错不错什么东西都能找到,哈哈.谢了楼主.

sd012

very good!

yhua

yhua