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

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:

This course covers infinite sequences and series, conics, parametric equations, and polar coordinates, vector and the geometry of space, vector-valued functions, functions of several variables, and multiple integration. 

              

106學年下學期進度表

 週次   授課內容及主題

  1.   Sequences, Series, Convergence, and The Integral Test, p-series 

  2.   Comparisons of series, Alternating series, The Ratio and Root Tests 

  3.   Taylor polynomials, Power series, and Representation of functions by power series 

  4.   Taylor and Maclaurin series (9.10), Conics and calculus, and Plane curves and parametric equations

  5.   Parametric equations and calculus, Polar coordinates and polar graphs and Area and arc length in polar coordinates

  6.   Vectors, Space coordinates, Dot product

  7.   Cross product, Lines, Planes in space, and Cylindrical and spherical coordinates

  8.  調整進度或復習

  9.  期中考

  10.   考試檢討Vector-valued functions, Differentiation and integration of vector-valued functions, and Velocity and acceleration

  11.   Functions of several variables, Limits and continuity, and Partial derivatives

  12.   Differentials, Chain rules, Directional derivatives, Gradients

  13.   Tangent planes, Extrema, Applications of extrema

  14.   Lagrange multipliers, Iterated Integrals, Double integrals

  15.   Change of variables: Polar coordinates, Center of mass and moments of inertia, and Surface area

  16.   Triple integrals, Triple integrals in cylindrical and spherical coordinates, and Change of variables: Jacobians

  17.  調整進度或復習

  18.  期末考

 

中山大學 106 學年度 下學期 微積分(二) 統一教學指定習題

 

 

第九章

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901

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902

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903

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906

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89

 

 

第十章

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1001

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1004

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1005

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1006

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1103

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1104

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1301

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1408

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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:           )--課程時間:禮拜四 234  助教課時間:

  6.  機電B (教師:黃皓瑋,助教:           )--課程時間:禮拜三 234  助教課時間: 

  7.  材料   (教師:張福春,助教:劉丞罡)--課程時間:禮拜四234   助教課時間:禮拜五 4

  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:

 

 

 

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