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! R6 o) I& g5 s& g5 i/ a+ ohttp://csm01.csu.edu.tw/0166/2007Ting/index.htm+ l8 h/ M% A( H/ ]5 h7 U
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6 F. y( c( z# S1 p4 i% YCHAPTER 1 LIMITS OF FUNCTIONS* [, v# z$ j, A- U
Section 1-1 Limits2 E# v/ E) h A7 f) |! `, s
Section 1-2 One-Sided Limit
4 O0 ~0 f3 V2 I* M$ x# TSection 1-3 Continuity
& a' t3 k: r8 I$ kSection 1-4 A Limit at Infinity and Infinite Limit+ ~' G4 k/ A7 X' M
. C; j7 L+ w4 d1 g2 jCHAPTER 2 DERIVATIVE
1 i3 O# R5 s4 Y, t& h$ USection 2-1 Definition of Derivative8 G& k3 T5 |, F9 K9 Q
Section 2-2 The Rule of Differentiation
0 a1 a; g2 |8 r1 M% l' W5 I, QSection 2-3 Chain Rule and Implicit Differentiation
$ ]2 t l+ r& P: T+ BSection 2-4 Derivatives of Exponential and Logarithmic F . C7 b- g0 C- _* ?, p# J
Section 2-5 Numerical Approximate –Differentials2 C+ O4 ?+ Z3 G$ J
Section 2-6 Derivatives of Trigonometric Functions
1 w2 K1 u8 U1 z' i" c: ^Section 2-7 Derivatives of Inverse Trigonometric F
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CHAPTER 3 APPLICATIONS OF DERIVATIVES
( b, k$ q! v& l0 WSection 3-1 The Mean Value Theorem and its Applications
+ }2 l# w$ p5 z: j0 [; FSection 3-2 Increasing and Decreasing Functions4 M- J; f3 I3 _% t/ p- k
Section 3-3 Maximum and Minimum Values
6 Q: k( [, E8 T" l8 K! M# FSection 3-4 The Max -Min Problems
: T ~% |& C9 ]) dSection 3-5 Concavity and Points of Inflection
( J$ m+ I: s5 A2 x. ]! J1 G2 S: @Section 3-6 Asymptotes
, w: q" [$ `% f2 ASection 3-7 Sketching curve0 [) m+ u5 [ }% @0 }! |6 a l
Section 3-8 L' Hopital's Rule
" |& N! p$ @+ t& xSection 3-9 Taylor Series
5 c$ x! n6 \& eSection 3-10 Applications In Marginal Analysis5 h1 x* d/ @0 I4 P* d; d
Section 3-11 Elasticity% d* c% [3 d+ M) _' i$ t. } l( ~
2 T. A! Z; Y# n" h! S$ K' G" ZCHAPTER 4 THE INDEFINITE INTEGRALS
/ U/ \. |, |/ `Section 4-1 Antiderivative and The Indefinite Integrals
. k, Z1 }/ |* R! I2 u1 O* R" @5 WSection 4-2 Integration by Changing Variables5 f0 Y9 ?% d# v1 y/ L
Section 4-3 Integration by Parts
, [; c2 [. M6 l5 e2 o' ESection 4-4 The Trigonometric Integrals
& `, l" u) O0 o7 b6 P6 vSection 4-5 The Integration by Partial Fractions
o9 g, x! |. A" i% XSection 4-6 Trigonometric and Half-Angle Substitution
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CHAPTER 5 THE DEFINITE INTEGRALS
% V) ^8 I |( tSection 5-1 Areas and the Definition of Definite Integral
: }- r( L# D/ G' gSection 5-2 The Fundamental Theorem of Calculus2 K1 S4 t; Q3 P
Section 5-3 The Approximate Integration
2 \9 {' {. R1 h: @& lSection 5-4 The Improper Integrals
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. W% i' h) K# ?, zCHAPTER 6 APPLICATIONS OF INTEGRATION. C" u/ z: b* `+ W. Y' X( J3 `
Section 6-1 Areas between Curves. E2 Y# A; D% q' E
Section 6-2 Areas in Polar Coordinates
# Y m3 p# k0 L9 VSection 6-3 Arc Length1 t9 a. Q$ p8 Y* Y4 m
Section 6-4 Volumes and The Volumes of Revolution
; p# w) U" _4 O/ L( {8 ?; MSection 6-5 Area of a Surface of Revolution # n4 P( @: c. X$ G, C9 z
Section 6-6 Centroid of A Plane Region
; p) |' ]9 c& K8 D: USection 6-7 Work and The Problems of The Engineering8 Q w) X# ^& W5 a9 f" U4 s
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CHAPTER 7 PARTIAL DERIVATIVES& `+ I3 H9 h% E1 `7 U
Section 7-1 Limits and Continuity
8 y$ O9 r. c1 ?+ O9 y/ x4 RSection 7-2 Partial Derivatives
# S1 {" x; W2 U: K9 |9 l2 X8 z. W; QSection 7-3 The Differentials and Chain Rules
7 C# D/ T( F8 {: x0 d r' MSection 7-4 Extrema of Functions of Two Variables R! ]0 m5 k5 C! ~( L" ?' S
Section 7-5 Directional Derivatives, Gradient and Tangent Plane/ m& _' v. }( P* Y
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CHAPTER 8 MULTIPLE INTEGRALS0 @ J1 y2 R/ d Y# _6 j4 r2 I
Section 8-1 Integrals over a Rectangle
$ E; ]1 z7 O. M3 O- g- u% i7 ]( XSection 8-2 Integrals over a Region
2 v; |( }4 {6 f" R+ E* QSection 8-3 Three-Dimensional Iterated Integrals
. ?, k& ^0 L+ x' G" M6 zSection 8-4 Multiple Integration in Polar, Cylindrical and Spherical Coordinates
F' r6 @) u; o4 ` ^8 D7 m$ ~! \Section 8-5 Applications of Multiple Integrals
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发表于 2008-11-30 02:38:09
very good!
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