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Stewart, Calculus: Early Transcendentals 第八版
章節 題號
1.4 Exponential Functions 3, 14, 17, 21, 24, 25
1.5 Inverse Functions and Logarithms 13, 17, 24, 41, 57, 68, 71, 72
2.1 The Tangent and Velocity Problems 5, 8
2.2 The Limit of a Function 6, 9, 12, 13, 34, 37, 52
2.3 Calculating Limits Using the Limit Laws 20, 27, 29, 32, 39, 43, 47, 54, 55, 59, 65
2.4 The Precise Definition of a Limit 3, 17, 25, 29, 43
2.5 Continuity 4, 13, 16, 20, 36, 45, 65
2.6 Limits at Infinity; Horizontal Asymptotes 2, 6, 7, 19, 20, 33, 36, 69
2.7 Derivatives and Rates of Change 7, 8, 13, 17, 29, 30, 38, 45
2.8 The Derivative as a Function 3, 5, 27, 29, 37, 43, 55
3.1 Derivatives of Polynomials and Exponential Functions 29, 38, 58, 64, 67, 72, 73, 86.
3.2 The Product and Quotient Rules 4, 6, 30, 52, 56, 62.
3.3 Derivatives of Trigonometric Functions 6, 12, 33, 40, 42, 46, 49, 52.
3.4 The Chain Rule 20, 24, 40, 44, 68, 70, 95, 98.
3.5 Implicit Differentiation 12, 20, 22, 30, 38, 46, 54, 56.
3.6 Derivatives of Logarithmic Functions 7, 18, 22, 26, 41, 52, 54, 56
3.8 Exponential Growth and Decay 5, 12, 15, 16, 17, 22
3.9 Related Rates 8, 16, 20, 39, 42, 49, 50
3.10 Linear Approximations and Differentials 3, 5, 12, 22, 28, 34, 41
3.11 Hyperbolic Functions 11, 12, 17, 19, 36, 42, 56
4.1 Maximum and Minimum Values 6, 13, 39, 51, 63, 77, 80
4.2 The Mean Value Theorem 9, 14, 17, 23, 28, 35, 37, 38
4.3 How Derivatives Affect the Shape of a Graph 1, 8, 30, 73, 77, 84, 85, 89
4.4 Indeterminate Forms and l"Hospital"s Rule 4, 6, 31, 42, 51, 52, 65, 80, 83, 91
4.5 Summary of Curve Sketching 11, 24, 29, 39, 54, 62, 69, 72
4.7 Optimization Problems 34, 41, 47, 70, 71, 73, 74, 78
4.9 Antiderivatives 12,16,37,55,75
5.1 Areas and Distances 13, 14, 16, 24
5.2 The Definite Integral 19, 27, 28, 33(b)(c), 37, 68, 71, 72, 75
5.3 The Fundamental Theorem of Calculus 29, 31, 32, 34, 42, 70, 76, 85
5.4 Indefinite Integrals and the Net Change Theorem 2, 4, 10, 12, 15, 31, 38, 41, 52, 57
5.5 The Substitution Rule 10, 42, 45, 46, 69, 85, 91, 92, 93, 94
6.1 Areas Between Curves 9, 21, 25, 36, 55, 58, 61
6.2 Volume 19–30, 48, 61, 66
6.3 Volumes by Cylindrical Shells 2, 14, 25, 43, 48
6.5 Average Value of a Function 8,13
7.1 Integration by Parts 6, 28, 36, 41, 42, 49, 50, 55, 56, 74
7.2 Trigonometric Integrals 1, 11, 16, 21, 22, 41, 48, 68
7.3 Trigonometric Substitution 2, 7, 13, 22, 31, 40, 41, 43
7.4 Integration of Rational Functions by Partial Fractions 11, 19, 23, 31, 39, 43, 46, 51, 61
7.5 Strategy for Integration 7, 16, 22, 31, 41, 47, 49
7.8 Improper Integrals 13, 18, 22, 24, 28, 37, 49, 55, 57, 58, 59, 79, 82
8.1 Arc Length 9, 11, 15, 17, 18, 33, 34, 38, 45
8.2 Area of a Surface of Revolution 9, 11, 14, 16, 18, 27, 28, 32, 36, 37
8.3 Applications to Physics and Engineering 2, 6, 11, 13, 18, 20, 31, 34, 37, 45
9.1 Modeling with Differential Equations 5, 13, 15, 16
9.2 Direction Fields and Euler"s Method 3–6, 14
9.3 Separable Equations 6, 7, 15, 22, 41, 52
9.4 Models for Population Growth 17, 21, 22, 23
9.5 Linear Equations 9, 20, 23, 25, 31
9.6 Predator-Prey Systems 3, 7
10.1 Curves Defined by Parametric Equations 2, 4, 8, 10, 13, 16, 20, 28
10.2 Calculus with Parametric Curves 4, 8, 11, 16, 30, 31, 41, 44, 61, 63
10.3 Polar Coordinates 8, 14, 18, 19, 35, 38, 56, 57, 61, 62
10.4 Areas and Lengths in Polar Coordinates 10, 24, 26, 27, 32, 46, 47, 48, 55, 56
10.6 Conic Sections in Polar Coordinates 21, 23, 27, 29
11.1 Sequences 35, 36, 41, 42, 63, 64, 77, 82, 91
11.2 Series 23, 24, 34, 57, 64, 70, 81, 82, 87,89
11.3 The Integral Test and Estimates of Sums 2, 7, 16, 26, 29, 33, 39, 45
11.4 The Comparison Tests 8, 10, 18, 23, 31, 39, 40(b), 41(b),44,45
11.5 Alternating Series 10, 17, 20, 23, 36
11.6 Absolute Convergence and the Ratio and Root Tests 17, 22, 24, 26, 32, 38, 40, 47, 51
11.7 Strategy for Testing Series 3, 7, 13, 17, 24, 36, 37
11.8 Power Series 5, 7, 14, 15, 22, 23, 29
11.9 Representations of Functions as Power Series 4, 5, 8, 12, 13, 25, 28, 38
11.10 Taylor and Maclaurin Series 4, 5, 10, 15, 16, 32, 33, 45, 57, 59, 64
11.11 Applications of Taylor Polynomials 4, 5, 9, 17, 18, 30, 31
12.6 Cylinders and Quadric Surfaces 9, 18, 19, 25, 28, 36
13.1 Vector Functions and Space Curves 1, 6, 13, 21-26, 28, 40, 42
13.2 Derivatives and Integrals of Vector Functions 8, 14, 18, 28, 38, 55, 57
13.3 Arc Length and Curvature 3, 10, 16, 19, 22, 32, 33, 38, 48, 50, 58, 59, 60, 61, 62
14.1 Functions of Several Variables 32, 36, 53, 55, 61~66
14.2 Limits and Continuity 6, 9, 10, 11, 13, 21, 37, 39, 40, 44
14.3 Partial Derivatives 9, 36, 43, 49, 50, 70, 71, 81, 104, 105
14.4 Tangent Planes and Linear Approximation 14, 18, 21, 28, 35, 42, 45, 46
14.5 The Chain Rule 11, 26, 29, 34, 39, 45, 53, 55, 58
14.6 Directional Derivatives and the Gradient Vector 7, 11, 16, 22, 27, 29, 33, 40, 41, 51
14.7 Maximum and Minimum Values 33, 37, 43, 47, 55, 57, 59, 60
14.8 Lagrange Multipliers 9, 10, 11, 15, 19, 22, 29, 30, 49, 50
15.1 Double Integrals over Rectangles 8, 14, 20, 31, 34, 44, 48, 50, 51
15.2 Double Integrals over General Regions 6, 10, 16, 20, 28, 38, 52, 56, 60, 69
15.3 Double Integrals in Polar Coordinates 6, 10, 13, 16, 18, 28, 29, 36, 39, 40, 41
15.5 Surface Area 2, 8, 12, 14, 21, 22, 23, 24
15.6 Triple Integrals 5, 8, 10, 14, 22, 28, 34, 36, 51, 54
15.7 Triple Integrals in Cylindrical Coordinates 16, 19, 24, 25, 30, 31
15.8 Triple Integrals in Spherical Coordinates 10, 15, 24, 26, 29, 36, 42, 44, 48
15.9 Change of Variables in Multiple Integrals 7, 13, 14, 16, 19, 22, 24, 25, 26, 27, 28
16.1 Vector Fields 6, 22, 23, 34, 35, 36
16.2 Line Integrals 2, 5, 9, 15, 20, 38, 43, 44, 48, 50
16.3 The Fundamental Theorem for Line Integrals 4, 7, 18, 29, 31, 33, 35, 36
16.4 Green"s Theorem 4, 7, 8, 11, 12, 13, 18, 21, 29, 31
16.5 Curl and Divergence 1, 6, 7, 9, 10, 11, 12, 14, 19, 33, 34, 35, 39
16.6 Parametric Surfaces and Their Areas 2, 21, 23, 32, 34, 35, 45, 48, 49, 62
16.7 Surface Integrals 6, 10, 12, 20, 22, 30, 45.
16.8 Stokes" Theorem 6, 10, 16, 17, 18, 19, 20.
16.9 The Divergence Theorem 4, 10, 13, 18, 24, 30.
16.10 Summary NO
17.1 Second-Order Linear Equations 2, 4, 12, 20, 30, 33, 34.
17.2 Nonhomogeneous Linear Equations 2, 4, 9, 10, 16, 18, 24, 28.