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應用數學系 Department of Applied Mathematics, National Sun Yat-sen University
繁體
微積分課程

以下課程資料主要提供物理,化學,電機,機電,材料,光電之微積分課程參考。各班課程之規劃以授課教師為主。

 

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

 

各班上課時間及助教時間:

課程時間:

  1.  物理   教師:洪芷漪,助教:郭哲凱--課程時間:禮拜四 567  助教課時間: 

  2.  化學   教師:蔡志賢,助教:        --課程時間:禮拜三 34、禮拜四 5 助教課時間:

  3.  電機A 教師:黃宏財,助教:        --課程時間:禮拜四 234  助教課時間:

  4.  電機B 教師:張福春,助教:蔡慶沺--課程時間:禮拜一 678  助教課時間:禮拜五 1

  5.  機電A 教師:黃皓瑋,助教:陳宏益--課程時間:禮拜四 234  助教課時間:禮拜三 8

  6.  機電B 教師:黃皓瑋,助教:陳宏益--課程時間:禮拜三 234  助教課時間: 禮拜三 8

  7.  材料   教師:張福春,助教:劉丞罡--課程時間:禮拜一 23、禮拜四 2  助教課時間:禮拜一6

  8.  光電   教師:洪芷漪,助教:劉丞罡--課程時間:禮拜一 678  助教課時間: