微積分甲(二)
Calculus A (II)
學期
112-2
學分
4
學分
當期課號
564016
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 | 週一 | 週四 |
|---|---|---|
3 10:10–11:00 | 微積分甲(二) SC109 2 節連堂 | |
4 11:10–12:00 | ||
7 15:30–16:20 | 微積分甲(二) SC109 2 節連堂 | |
8 16:30–17:20 |
* 根據陽明交大上課時間表所列
先修科目
微積分甲(一)
教學方式
Use e3 system.
評分方式
Quizzes: 14% Two Midterms: 18% each Final Exam: 20% Joint Exam:30%
課程大綱
- Ch11. Sequences, Series, and Power Series
- Ch12.◆ Vectors and the Geometry of Space (◆為選教)
- Ch13. Vector Functions (◆為選教部分)
- 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 and series |
| 第 2 週 | Integral test, comparison tests, alternating series |
| 第 3 週 | Ratio and root test; power series, and representing functions using power series |
| 第 4 週 | Taylor series and applications |
| 第 5 週 | Error estimations in infinite series, three-dimensional coordinate system; Midterm I 21/3 |
| 第 6 週 | Vectors, dot and cross product, equations of lines and planes; vector functions |
| 第 7 週 | Basic calculus of vector functions, arc length |
| 第 8 週 | Functions of several variables, their limits and continuity, partial derivatives |
| 第 9 週 | Tangent planes, linear approximations, and differentiability; the chain rule; directional derivatives |
| 第 10 週 | Gradient vectors; optimization of multivariable functions and Lagrange multipliers |
| 第 11 週 | Lagrange multipliers (cont.); Midterm II 2/5 |
| 第 12 週 | Double integrals (with Cartesian coordinates) |
| 第 13 週 | Double integrals (with polar coordinates); surface area; triple integrals (with Cartesian coordinates) |
| 第 14 週 | Triple integrals (Cartesian, cylindrical, spherical coordinates) |
| 第 15 週 | General change of variables; Final exam 30/5 |
| 第 16 週 | Joint exam 5/6 |
| 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 (not available: T2, R56)
- 聯絡方式
- chyuen@math.nctu.edu.tw