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## 微積分課程(下)

### 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.

107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

(瀏覽時請注意左下頁籤是否為該年度學期)

1.  物理    教師: 官振傑,   助教: 謝昕浩、黃敬皓    --課程時間:禮拜一 234 助教課時間:

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

3.  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

4.  機電A 教師: 陳美如,   助教: 許郁琪                   --課程時間:禮拜五 234  助教課時間:

5.  機電B 教師: 陳美如,   助教: 葉永傑                   --課程時間:禮拜四 234  助教課時間:

6.  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

7.  光電   教師: 官振傑,   助教: 謝昕浩、黃敬皓     --課程時間:禮拜一 678  助教課時間: