微積分統一教學網-模組01-16班

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Stewart, Calculus: Early Transcendentals 第九版
章節		題號
1.4	Exponential Functions	1, 2, 10, 14, 21
1.5	Inverse Functions and Logarithms	8, 18, 26, 44, 58
2.1	The Tangent and Velocity Problems	2, 3, 6, 7
2.2	The Limit of a Function	4, 10, 16, 38, 42
2.3	Calculating Limits Using the Limit Laws	2, 26, 34, 54, 68
2.4	The Precise Definition of a Limit	2, 14, 28, 42, 44
2.5	Continuity	30, 36, 44, 48, 58
2.6	Limits at Infinity; Horizontal Asymptotes	30, 48, 58
2.7	Derivatives and Rates of Change	34, 42, 58
2.8	The Derivative as a Function	40, 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, 62, 66
3.4	The Chain Rule	46, 48, 62, 69, 99
3.5	Implicit Differentiation	44, 58, 65, 66, 67
3.6	Derivatives of Logarithmic and Inverse Trigonometric Functions	49, 62, 82, 83, 85
3.8	Exponential Growth and Decay (✽)	3, 7, 12, 13, 14
3.9	Related Rates	23, 29, 30, 44, 53
3.10	Linear Approximations and Differentials	48, 50, 52
3.11	Hyperbolic Functions (✽)	8, 27, 54, 55, 60
4.1	Maximum and Minimum Values	45, 50, 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, 88
4.9	Antiderivatives	4, 12, 24, 42, 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	58, 68, 76, 78, 93
5.4	Indefinite Integrals and the Net Change Theorem	22, 54, 72, 77
5.5	The Substitution Rule	80, 83, 94, 98, 99
6.1	Areas Between Curves	18, 31, 42, 43, 69
6.2	Volumes	44, 62, 74, 86
6.3	Volumes by Cylindrical Shells	47,55, 56, 62
6.5	Average Value of a Function	13, 25, 26
7.1	Integration by Parts	2, 48, 54, 60, 78
7.2	Trigonometric Integrals	32, 56, 62, 63, 71
7.3	Trigonometric Substitution	30, 44, 45, 47
7.4	Integration of Rational Functions by Partial Fractions	27, 50, 58, 60, 63
7.5	Strategy for Integration	8, 27, 44, 76, 93
7.8	Improper Integrals	68, 74, 75, 80
8.1	Arc Length	39, 40, 43, 46
8.2	Area of a Surface of Revolution	28, 33, 37, 42
9.1	Modeling with Differential Equations	19, 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, 35, 41
10.1	Curves Defined by Parametric Equations	30, 49, 53
10.2	Calculus with Parametric Curves	18, 31, 38, 50, 73
10.3	Polar Coordinates	52, 54, 58
10.4	Calculus in Polar Coordinates	10, 28, 45, 53, 68
12.6	Cylinders and Quadric Surfaces	12, 38, 48, 50
13.1	Vector Functions and Space Curves	34, 35, 54
13.2	Derivatives and Integrals of Vector Functions	24, 28, 30
13.3	Arc Length and Curvature	5, 24, 26, 52, 54
13.4	Motion in Space: Velocity and Acceleration (✽)	14, 16, 39, 42
14.1	Functions of Several Variables	16, 30, 32, 54
14.2	Limits and Continuity	17, 23, 33, 49, 52
14.3	Partial Derivatives	32, 39, 44, 62, 67
14.4	Tangent Planes and Linear Approximations	9, 20, 24, 52, 54
14.5	The Chain Rule	3, 14, 33, 38, 49
14.6	Directional Derivatives and the Gradient Vector	12, 17, 32, 38, 51
14.7	Maximum and Minimum Values	15, 21, 39, 55
14.8	Lagrange Multipliers	7, 10, 28, 57
15.1	Double Integrals over Rectangles	10, 22, 34, 54
15.2	Double Integrals over General Regions	9, 21, 25, 64
15.3	Double Integrals in Polar Coordinates	8, 13, 20, 32, 41
15.4	Applications of Double Integrals	8, 13, 18
15.5	Surface Area	2, 6, 13, 25, 26
15.6	Triple Integrals	11, 26, 38, 42, 58
15.7	Triple Integrals in Cylindrical Coordinates	2, 11, 16, 22, 30
15.8	Triple Integrals in Spherical Coordinates	9, 21, 29, 30, 37
15.9	Change of Variables in Multiple Integrals	2, 21, 23ab, 27, 31
16.1	Vector Fields	14, 17, 21, 27, 34
16.2	Line Integrals	8, 12, 20, 36, 49
16.3	The Fundamental Theorem for Line Integrals	22, 34, 42
16.4	Green's Theorem	10, 18, 25, 31
16.5	Curl and Divergence	33, 35, 38, 39, 40
16.6	Parametric Surfaces and Their Areas	42, 62, 63, 64
16.7	Surface Integrals	14, 28, 30, 44
16.8	Stokes' Theorem	10, 14, 20, 22
16.9	The Divergence Theorem	12, 14, 20, 26
11.1	Sequences	74, 89, 96, 97, 99
11.2	Series	51, 69, 75, 83, 95
11.3	The Integral Test and Estimates of Sums	29, 30, 32, 46
11.4	The Comparison Tests	46, 47, 52, 53, 55
11.5	Alternating Series and Absolute Convergence	14, 18, 49, 50, 53
11.6	The Ratio and Root Tests	34, 36, 39, 41, 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, 16, 28, 40
11.10	Taylor and Maclaurin Series	50, 59, 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)