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
|