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)
|