週次
Week | 課程主題
Topic | 課程內容與指定閱讀
Content and Reading Assignment | 教學活動與作業
Teaching Activities and Homework | 學習投入時間 Student workload expectation |
課堂講授 In-class Hours | 課程前後
Outside- of-class Hours |
1 | Arc length and calculus of parametric curves | 8.1, 10.1-10.2 | Selected exercises | 3 | 5 |
2 | Calculus of polar curves | 10.3-10.4 | Selected exercises | 3 | 5 |
3 | Sequences, series and integral test | 11.1-11.3 | Selected exercises | 3 | 5 |
4 | The comparison test, alternative series and absolute convergence | 11.4-11.6 | Selected exercises | 3 | 5 |
5 | Ratio and root test and power series | 11.6-11.8 | Selected exercises | 3 | 5 |
6 | Representation of functions as power series, Taylor and Maclaurin series | 11.9-11.11 | Selected exercises | 3 | 5 |
7 | Review of Vectors | 12.1-12.5 | Selected exercises | 3 | 5 |
8 | Midterm Exam | 13.1-13.2 | Selected exercises | 3 | 5 |
9 | Vector functions | 13.1-13.2
| Selected exercises | 3 | 5 |
10 | Functions of several variables, limits and continuity | 14.1-14.2 | Selected exercises | 3 | 5 |
11 | Partial derivatives and derivate of a function | 14.3-14.4 | Selected exercises | 3 | 5 |
12 | Chain rule and directional derivatives, gradient vector | 14.5-14.6 | Selected exercises | 3 | 5 |
13 | Maximum and minimum values and Lagrange multipliers | 14.7-14.8 | Selected exercises | 3 | 5 |
14 | Double integrals | 15.1-15.2 | Selected exercises | 3 | 5 |
15 | Double integrals in polar coordinates and applications | 15.3-15.4 | Selected exercises | 3 | 5 |
16 | Final Exam | | | 3 | 5 |
17 | Review | | | 3 | 5 |
18 | 會考(6/13)
(Final week) | | | 3 | 5 |