Calculus (2)
微積分二
授課教師: 李宗儒 Tsung-Ju Lee
學分數: 3
上課時間: 星期一 9:10am - 11:00am, 星期三 9:10am - 10:00am
實習課時間: 星期三 8:10am - 9:00am
上課地點: 經緯廳
課程網站:
先修課程或先備能力：高中數學、微積分一
重要公告與注意事項：
- 評分方式：期中考 35%、期末考 35%、小考 30%
- 小考預計共 12 次，取 9 次最高分的平均作為小考成績
- 每週都會有指定作業，約 8-12 題，無須繳交
預計課程內容與進度：
| 上課日期 | 章節 | |
|---|---|---|
| 2/19, 2/21 | 11.1 - 11.4 | Sequences; series; the integral test and estimates of sums; the comparison tests. |
| 2/26, 2/28 (停課) | 11.5 - 11.6 | Alternating series and absolute convergence; the ratio and root tests. |
| 3/4, 3/6 | 11.8 - 11.9 | Power series; representations of functions as power series. |
| 3/11, 3/13 | 11.10 - 11.11 | Taylor series and Maclaurin series; applications. |
| 3/18, 3/20 | 13.1 - 13.3 | Vector functions and space curves; derivatives and integrals of vector functions; arc length and curvature. |
| 3/25, 3/27 | 14.1 - 14.2 | Functions of several variables; limits and continuity. |
| 4/1, 4/3 | 14.3 - 14.5 | Partial derivatives; tangent planes and linear approximations; the chain rule. |
| 4/8, 4/10 | 14.6 - 14.8 | Directional derivatives and the gradient vector; maximum and minimum values; Lagrange multipliers. |
| 4/15, 4/17 | 15.1 | Midterm; double integrals over rectangles. |
| 4/22, 4/24 | 15.2 - 15.4 | Double integrals over general regions; double integrals in polar coordinates; applications. |
| 4/29, 5/1 | 15.5 - 15.7 | Surfaces area; triple integrals; triple integrals in cylindrical coordinates. |
| 5/6, 5/8 | 15.8 - 15.9 | Triple integrals in spherical coordinates; change of variables in multiple integrals |
| 5/13, 5/15 | 16.1 - 16.3 | Vector fields; line integrals; the fundamental theorem for line integrals. |
| 5/20, 5/22 | 16.4 - 16.5 | Green's theorem; curl and divergence. |
| 5/27, 5/29 | 16.6 - 16.7 | Parametric surfaces and their area; surface integrals. |
| 6/3, 6/5 | 16.8 - 16.9 | Stokes' theorem; the divergence theorem. |
| 6/10 (放假), 6/12 | 16.10 | Summary and review. |
| 6/17, 6/19 | Final Exam |