| Stewart, Calculus: Early Transcendentals 第九版 |
| 章節 |
題號 |
| 1.5 |
Inverse Functions and Logarithms(✽WS) |
74, 77, 78 |
| 2.1 |
The Tangent and Velocity Problems |
3, 6 |
| 2.2 |
The Limit of a Function |
4, 10, 16, 38, 42 |
| 2.3 |
Calculating Limits Using the Limit Laws |
2, 34, 42, 54, 57 |
| 2.5 |
Continuity |
30, 44, 48, 58, 74 |
| 2.6 |
Limits at Infinity; Horizontal Asymptotes |
30, 48, 58 |
| 2.7 |
Derivatives and Rates of Change |
34, 36, 58 |
| 2.8 |
The Derivative as a Function |
40, 44, 52, 63 |
| 3.1 |
Derivatives of Polynomials and Exponential Functions |
86, 88, 90 |
| 3.2 |
The Product and Quotient Rules |
44, 50, 58 |
| 3.3 |
Derivatives of Trigonometric Functions |
46, 60, 62, 66 |
| 3.4 |
The Chain Rule |
46, 48, 69, 78, 99 |
| 3.5 |
Implicit Differentiation |
44, 48, 65, 66, 67 |
| 3.6 |
Derivatives of Logarithmic and Inverse Trigonometric Functions |
36, 58, 78, 83, 85 |
| 3.9 |
Related Rates (✽WS) |
23, 29, 30, 44, 53 |
| 3.10 |
Linear Approximations and Differentials |
36, 48, 52 |
| 4.1 |
Maximum and Minimum Values |
45, 60, 63, 66 |
| 4.2 |
The Mean Value Theorem |
23, 28, 35, 39, 42 |
| 4.3 |
What Derivatives Tell Us about the Shape of a Graph |
55, 62, 64, 84, 99 |
| 4.4 |
Indeterminate Forms and l'Hospital's Rule |
60, 69, 76, 78, 90 |
| 4.5 |
Summary of Curve Sketching |
11, 37, 54, 56, 75 |
| 4.7 |
Optimization Problems |
47, 57, 77, 83 |
| 4.9 |
Antiderivatives |
4, 12, 24, 52 |
| 5.1 |
The Area and Distance Problems |
18, 22, 34 |
| 5.2 |
The Definite Integral |
23, 57, 60, 68 |
| 5.3 |
The Fundamental Theorem of Calculus |
68, 74, 76, 78, 93 |
| 5.4 |
Indefinite Integrals and the Net Change Theorem |
22, 54, 72 |
| 5.5 |
The Substitution Rule |
80, 83, 94, 98, 99 |
| 6.1 |
Areas Between Curves |
18, 31, 42, 43 |
| 6.2 |
Volumes (✽WS) |
44, 62, 74, 86 |
| 6.3 |
Volumes by Cylindrical Shells (✽WS) |
47, 55, 56, 62 |
| 6.5 |
Average Value of a Function |
13, 25, 26 |
| 7.1 |
Integration by Parts |
2, 48, 60, 78 |
| 7.2 |
Trigonometric Integrals |
32, 56, 63, 71 |
| 7.3 |
Trigonometric Substitution |
30, 45, 47, 49 |
| 7.4 |
Integration of Rational Functions by Partial Fractions |
27, 50, 58, 60 |
| 7.5 |
Strategy for Integration |
8, 27, 44, 76, 93 |
| 7.8 |
Improper Integrals |
68, 74, 75, 80 |
| 8.1 |
Arc Length(✽WS) |
39, 40, 43, 46 |
| 9.1 |
Modeling with Differential Equations |
21, 25, 29 |
| 9.3 |
Separable Equations |
42, 44, 48, 54 |
| 9.4 |
Models for Population Growth (✽) |
9, 18, 21 |
| 9.5 |
Linear Equations |
30, 39, 41 |
| 10.1 |
Curves Defined by Parametric Equations |
30, 49, 53 |
| 10.2 |
Calculus with Parametric Curves |
18, 31, 38, 50 |
| 10.3 |
Polar Coordinates |
36, 54, 58 |
| 10.4 |
Calculus in Polar Coordinates |
10, 28, 45, 68 |
| 12.6 |
Cylinders and Quadric Surfaces |
38, 48, 50 |
| 14.1 |
Functions of Several Variables |
30, 32, 54 |
| 14.2 |
Limits and Continuity |
17, 23, 33, 52 |
| 14.3 |
Partial Derivatives |
32, 44, 62, 67 |
| 14.4 |
Tangent Planes and Linear Approximations |
9, 20, 52, 54 |
| 14.5 |
The Chain Rule |
14, 38, 49, 52, 59 |
| 14.6 |
Directional Derivatives and the Gradient Vector |
17, 32, 51, 57, 60 |
| 14.7 |
Maximum and Minimum Values |
21, 39, 55, 61 |
| 14.8 |
Lagrange Multipliers |
10, 28, 57, 58(b) |
| 15.1 |
Double Integrals over Rectangles |
22, 34, 54 |
| 15.2 |
Double Integrals over General Regions |
22, 28, 62, 64, 68 |
| 15.3 |
Double Integrals in Polar Coordinates |
16, 20, 32, 41 |
| 15.4 |
Applications of Double Integrals(✽WS) |
8, 13, 18 |
| 15.6 |
Triple Integrals |
10, 26, 38, 42, 58 |
| 15.7 |
Triple Integrals in Cylindrical Coordinates |
11, 16, 22, 30 |
| 15.8 |
Triple Integrals in Spherical Coordinates |
10, 21, 28, 30 |
| 15.9 |
Change of Variables in Multiple Integrals |
20, 24, 26, 31 |
| 16.1 |
Vector Fields |
14, 21, 27 |
| 16.2 |
Line Integrals |
12, 36, 49, 52 |
| 16.3 |
The Fundamental Theorem for Line Integrals |
22, 41, 42 |
| 16.4 |
Green's Theorem |
10, 18, 25, 31 |
| 16.5 |
Curl and Divergence |
33, 35, 39, 40 |
| 16.6 |
Parametric Surfaces and Their Areas |
42, 62, 63, 64(a)(c) |
| 16.7 |
Surface Integrals |
14, 30, 44 |
| 16.8 |
Stokes' Theorem |
10, 14, 20, 22 |
| 16.9 |
The Divergence Theorem |
12, 14, 20, 26 |
| 11.1 |
Sequences |
85, 89, 97, 98 |
| 11.2 |
Series |
52, 69, 92, 95 |
| 11.3 |
The Integral Test and Estimates of Sums |
32, 42, 46 |
| 11.4 |
The Comparison Tests |
46, 52, 53, 55 |
| 11.5 |
Alternating Series and Absolute Convergence |
18, 49, 50, 53 |
| 11.6 |
The Ratio and Root Tests |
34, 36, 38, 42 |
| 11.7 |
Strategy for Testing Series |
45, 47, 48 |
| 11.8 |
Power Series |
36, 38, 40, 44, 46 |
| 11.9 |
Representations of Functions as Power Series |
12, 15, 28, 40 |
| 11.10 |
Taylor and Maclaurin Series |
59, 71, 75, 97 |
| 11.11 |
Applications of Taylor Polynomials |
33, 37, Review 60 (p.823) |
| 17.1 |
Second-Order Linear Equations |
4, 5, 10, 34 |
| 17.2 |
Nonhomogeneous Linear Equations |
Review 7, 8, 21 (pp.1221, 1222) |