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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. |