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模組01-16班

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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)