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微積分(二)(材光系)

課程目標: 介紹微分與積分的理論、方法、計算及其應用.

教科書: Calculus(11-th Ed.): Ron Larson and Bruce H. Edwards

 

課程大綱:

  1.  Limits and Their Properties

  2.  Differentiation

  3.  Applications of Differentiation

  4.  Integration

  5.  Applications of Integration

              

106學年上學期進度表

 週次   授課內容及主題

  1.   Introduction, Limits, Infinite Limits (1.1~1.5)

  2.   Derivative , Differentiation Rules , Implicit Differentiation (2.1~2.5)

  3.   Extrema, Rolle's Theorem and the Mean Value Theorem (3.1~3.3)

  4.   Concavity, Curve Sketching (3.4~3.6), 中秋節（10/04）

  5.   Optimization (3.7) 國慶(10/09,10)

  6.   Antiderivatives, Indefinite Integration, and Definite Integrals (4.1~4.3)

  7.   The Fundamental Theorem of Calculus, Integration by Substitution (4.4~4.5)

  8.  調整進度或復習

  9.  期中考

  10.   考試檢討, Natural Logarithmic Function (5.1~5.2)

  11.   Inverse Functions, Exponential Functions(5.3~5.4)

  12.   Indeterminate Forms, L'Hopital's Rule (5.6~5.7)

  13.   Volume: The Disk Method, The Shell Method, Arc Length and Surfaces of Revolution (7.2~7.4)

  14.   Basic Integration Rules, Integration by Parts (8.1~8.2)

  15.   Trigonometric Integrals, Trigonometric Substitution (8.3~8.4)

  16.   Partial Fractions, Improper Integrals, Improper Integrals (8.5, 8.8)

  17.  調整進度或復習

  18.  期末考

 

 

中山大學 106 學年度 上學期 微積分(一) 統一教學指定習題

中山大學 106 學年度 上學期

微積分(一) 統一教學指定習題

章節

習題號碼

1.3

12, 26, 30, 38, 41, 56, 63, 86, 92, 105

1.4

10, 14, 19, 22, 38, 45, 62, 82, 96, 123

1.5

8, 24, 26, 35, 40, 48, 51, 54, 55, 72

2.1

14, 16, 20, 34, 40, 60, 62, 74, 90, 97

2.2

5, 12, 25, 38, 46, 62, 66, 80, 91, 112

2.3

14, 22, 36, 52, 62, 74, 82, 87, 108, 128

2.4

16, 32, 46, 54, 63, 76, 90, 96, 102, 109

2.5

15, 22, 30, 36, 40, 46, 48, 54, 64, 74

3.1

8, 12. 22, 30, 40, 44, 48, 54, 60, 70

3.2

10, 20, 25, 30, 38, 47, 53, 60, 66, 85

3.3

8, 16, 28, 34, 40, 44, 49, 68, 72, 100

3.4

6, 14, 24, 28, 36, 42, 54, 60, 62, 76

3.5

6, 12, 14, 24, 32, 39, 42, 44, 60, 64

3.6

12, 18, 24, 32, 36, 38, 48, 59, 70, 92

3.7

4, 6, 12, 16, 20, 26, 38, 40, 54, 55

4.1

6, 14, 20, 30, 36, 44, 51, 65, 72, 80

4.2

2, 7, 14, 20, 26, 32, 42, 48, 58, 64

4.3

4, 8, 12, 16, 26, 36, 44, 48, 60, 72

4.4

14, 26, 32, 46, 52, 56, 70, 84, 94, 106

4.5

10, 18, 24, 30, 44, 50, 58, 76, 98, 100

5.1

16, 20, 27, 42, 52, 66, 70, 76, 84, 100

5.2

12, 24, 30, 38, 48, 64, 74, 82, 90, 94

5.3

14, 26, 18, 28, 36, 54, 56, 66, 80, 94

5.4

11, 42, 54, 60, 66, 72, 81, 98, 117, 140

5.5

12, 20, 26, 52, 60, 74, 80, 106,110 ,112

5.6

2, 10, 24, 35, 42, 51, 62, 63, 72, 108

5.7

14, 34, 42, 56, 60, 72, 82, 86, 92, 94

7.2

6, 12, 14, 18, 24, 30, 36, 57, 62, 68

7.3

4, 10, 14, 20, 24, 26, 30, 40, 53, 60

7.4

5, 9, 13, 19, 22, 37, 43, 49, 53, 57

8.1

3, 7, 17, 39, 45, 53, 59, 69, 97, 101

8.2

5, 11, 15, 23, 30, 45, 55, 63, 73, 92

8.3

7, 13, 17, 27, 31, 35, 43, 54, 61, 83

8.4

3, 7, 11, 15, 19, 27, 35, 37, 53, 55

8.5

1, 7, 15, 19, 21, 25, 33, 41, 45, 52

8.7

3, 5, 7, 11, 13, 15, 23, 41, 54, 61

 

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