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Stewart, Calculus: Early Transcendentals 第九版
章節
題號
Exponential Functions
1, 2, 10, 14, 21
Inverse Functions and Logarithms
8, 18, 26, 44, 58
The Tangent and Velocity Problems
2, 3, 6, 7
The Limit of a Function
4, 10, 16, 38,  42
Calculating Limits Using the Limit Laws
2,  26,  34,  54, 68
The Precise Definition of a Limit
2,  14,  28,  42, 44
Continuity
30,  36,  44,  48,  58
Limits at Infinity; Horizontal Asymptotes
30, 48, 58
Derivatives and Rates of Change
34, 42, 58
The Derivative as a Function
40, 52, 63
Derivatives of Polynomials and Exponential Functions
86, 88, 90
The Product and Quotient Rules
44, 50, 58
Derivatives of Trigonometric Functions
46, 62, 66
The Chain Rule
46, 48, 62, 69, 99
Implicit Differentiation
44, 58, 65, 66, 67
Derivatives of Logarithmic and Inverse Trigonometric Functions
49, 62, 82, 83, 85
Exponential Growth and Decay ()
3, 7, 12, 13, 14
Related Rates
23, 29, 30, 44, 53
Linear Approximations and Differentials
48, 50, 52
Hyperbolic Functions ()
8, 27, 54, 55, 60
Maximum and Minimum Values
45, 50, 60, 63, 66
The Mean Value Theorem
23, 28, 35, 39, 42
What Derivatives Tell Us about the Shape of a Graph
55, 62, 64, 84, 99
Indeterminate Forms and l'Hospital's Rule
60, 69, 76, 78, 90
Summary of Curve Sketching
11, 37, 54, 56, 75
Optimization Problems
47, 57, 77, 83, 88
Antiderivatives
4, 12, 24, 42, 52
The Area and Distance Problems
18, 22, 34
The Definite Integral
23, 57, 60, 68
The Fundamental Theorem of Calculus
58, 68, 76, 78, 93
Indefinite Integrals and the Net Change Theorem
22, 54, 72, 77
The Substitution Rule
80, 83, 94, 98, 99
Areas Between Curves
18, 31, 42, 43, 69
Volumes
44, 62, 74, 86
Volumes by Cylindrical Shells
47,55, 56, 62
Average Value of a Function
13, 25, 26
Integration by Parts
2, 48, 54, 60, 78
Trigonometric Integrals
32, 56, 62, 63, 71
Trigonometric Substitution
30, 44, 45, 47
Integration of Rational Functions by Partial Fractions
27, 50, 58, 60, 63
Strategy for Integration
8, 27, 44, 76, 93
Improper Integrals
68, 74, 75, 80
Arc Length
39, 40, 43, 46
Area of a Surface of Revolution
28, 33, 37, 42
Modeling with Differential Equations
19, 21, 25, 29
Separable Equations
42, 44, 48, 54
Models for Population Growth ()
9, 18, 21
Linear Equations
30, 35, 41
Curves Defined by Parametric Equations
30, 49, 53
Calculus with Parametric Curves
18, 31, 38, 50, 73
Polar Coordinates
52, 54, 58
Calculus in Polar Coordinates
10, 28, 45, 53, 68
Cylinders and Quadric Surfaces
12, 38, 48, 50
Vector Functions and Space Curves
34, 35, 54
Derivatives and Integrals of Vector Functions
24, 28, 30
Arc Length and Curvature
5, 24, 26, 52, 54
Motion in Space: Velocity and Acceleration ()
14, 16, 39, 42
Functions of Several Variables
16, 30, 32, 54
Limits and Continuity
17, 23, 33, 49, 52
Partial Derivatives
32, 39, 44, 62, 67
Tangent Planes and Linear Approximations
9, 20, 24, 52, 54
The Chain Rule
3, 14, 33, 38, 49
Directional Derivatives and the Gradient Vector
12, 17, 32, 38, 51
Maximum and Minimum Values
15, 21, 39, 55
Lagrange Multipliers
7, 10, 28, 57
Double Integrals over Rectangles
10, 22, 34, 54
Double Integrals over General Regions
9, 21, 25, 64
Double Integrals in Polar Coordinates
8, 13, 20, 32, 41
Applications of Double Integrals
8, 13, 18
Surface Area
2, 6, 13, 25, 26
Triple Integrals
11, 26, 38, 42, 58
Triple Integrals in Cylindrical Coordinates
2, 11, 16, 22, 30
Triple Integrals in Spherical Coordinates
9, 21, 29, 30, 37
Change of Variables in Multiple Integrals
2, 21, 23ab, 27, 31
Vector Fields
14, 17, 21, 27, 34
Line Integrals
8, 12, 20, 36, 49
The Fundamental Theorem for Line Integrals
22, 34, 42
Green's Theorem
10, 18, 25, 31
Curl and Divergence
33, 35, 38, 39, 40
Parametric Surfaces and Their Areas
42, 62, 63, 64
Surface Integrals
14, 28, 30, 44
Stokes' Theorem
10, 14, 20, 22
The Divergence Theorem
12, 14, 20, 26
Sequences
74, 89, 96, 97, 99
Series
51, 69, 75, 83, 95
The Integral Test and Estimates of Sums
29, 30, 32, 46
The Comparison Tests
46, 47, 52, 53, 55
Alternating Series and Absolute Convergence
14, 18, 49, 50, 53
The Ratio and Root Tests
34, 36, 39, 41, 42
Strategy for Testing Series
45, 47, 48
Power Series
36, 38, 40, 44, 46
Representations of Functions as Power Series
12, 15, 16, 28, 40
Taylor and Maclaurin Series
50, 59, 75, 97
Applications of Taylor Polynomials
33, 37, Review 60 (p.823)
Second-Order Linear Equations
4, 5, 10, 34
Nonhomogeneous Linear Equations
Review 7, 8, 21 (pp.1221, 1222)