微積分甲(二)
Calculus A (II)
學期
114-2
學分
4
學分
當期課號
564001
永久課號
GECS10002
開課單位
微積分教學小組
授課教師
阮志豪
校區
光復
類別
必修
上課時間表
| 節 | 週二 | 週五 |
|---|---|---|
3 10:10–11:00 | 微積分甲(二) SA320 2 節連堂 | |
4 11:10–12:00 | ||
5 13:20–14:10 | 微積分甲(二) SA320 2 節連堂 | |
6 14:20–15:10 |
* 根據陽明交大上課時間表所列
先修科目
Calculus A (I)
教學方式
Use e3 system.
評分方式
Quizzes: 20% Midterm: 25% Final Exam: 25% Joint Exam：30%
課程大綱
- Ch10. Parametric Equations and Polar Coordinates
- Ch11. Sequences, Series, and Power Series (◆部分為選教)
- ◆ Ch12. Vectors and the Geometry of Space (◆部分為選教)
- ◆ Ch13. Vector Functions (◆部分為選教)
- Ch14. Partial Derivatives
- Ch15. Multiple Integrals (◆部分為選教)
- ◆ Ch16. Vector Calculus (◆部分為選教)
週次計畫
| 週次 | 主題 |
|---|---|
| 第 1 週 | Infinite sequences |
| 第 2 週 | Infinite series |
| 第 3 週 | Integral test; direct & limit comparison test; alternating series and absolute convergence |
| 第 4 週 | Ratio and root test; power series; representing functions using power series |
| 第 5 週 | Taylor series and its applications; vectors and equations of lines and planes |
| 第 6 週 | Polar coordinates and calculus |
| 第 7 週 | Polar calculus (cont.); multivariable functions and their limits |
| 第 8 週 | Partial Derivatives; Midterm 17/4 |
| 第 9 週 | Tangent planes and differentiability; chain rule; directional derivatives |
| 第 10 週 | Gradient vectors; optimization |
| 第 11 週 | Optimization (cont.); Lagrange multipliers; double integrals over rectangular domains |
| 第 12 週 | Double integrals (with Cartesian and polar coordinates) |
| 第 13 週 | Surface area; triple integrals (with Cartesian and cylindrical coordinates) |
| 第 14 週 | |
| 第 15 週 | Final Exam 5/6 |
| 第 16 週 | Joint Exam 10/6 |
| 第 17 週 | |
| 第 18 週 |
教科書
Calculus(Early Transcendentals), James Stewart, 9th Edition
Office Hours
- 地點
- SA 341
- 時間
- Send an e-mail to me to make appointment.
- 聯絡方式
- e3 or chyuen@math.nctu.edu.tw