微積分甲(二)
Calculus A (II)
學期
113-2
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) SC106 2 節連堂 | |
4 11:10–12:00 | ||
5 13:20–14:10 | 微積分甲(二) SC106 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
- 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, direct comparison test |
| 第 3 週 | Limit comparison test; ratio and root test; alternating series and absolute convergence; power series |
| 第 4 週 | Representing functions using power series; Taylor series and its applications |
| 第 5 週 | Appl. of Taylor series (cont.); vectors and equations of lines and planes; vector functions |
| 第 6 週 | Vector calculus, arc length; polar coordinates and calculus |
| 第 7 週 | Calculus in polar coordinates (cont.); multivariable functions and their limits |
| 第 8 週 | Lim. and cts. of multivar. functions; partial derivatives; Midterm 11/4 |
| 第 9 週 | Partial derivatives (cont.); tangent planes and differentiability; chain rule |
| 第 10 週 | Chain rule (cont.); directional derivatives and gradient vectors; optimization |
| 第 11 週 | Optimization (cont.); Lagrange multipliers; double integrals over rectangular domains |
| 第 12 週 | Double integrals (with Cartesian coordinates and polar coordinates) |
| 第 13 週 | Surface area; triple integrals (with Cartesian coordinates); cylindrical coordinates |
| 第 14 週 | Triple integrals (with cylindrical and spherical coordinates); general change of variables |
| 第 15 週 | Final exam 27/5 |
| 第 16 週 | Joint exam 4/6 |
| 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
- chyuen@math.nctu.edu.tw