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
(Mar.5)
Arc length and calculus of parametric curves
8.1, 10.1-10.2
Selected Exercises
3
5
2
(Mar.12)
Calculus of polar curves
10.3-10.4
(Mar.19)
Sequences, series, and integral test
11.1-11.3
4
(Mar.26)
The comparison test, alternative series, and absolute convergence
11.4-11.6
(April 9)
QUIZ1
Ratio and root test and power series
11.6-11.8
6
(April16)
Representation of functions as power series, Taylor and Maclaurin series
11.9-11.11
7
(April23)
Review of Vectors
12.1-12.5
8
Midterm Exam
9
(April30)
Vector functions
13.1-13.2
10
(May 7)
Functions of several variables, limits, and continuity
14.1-14.2
11
(May14)
QUIZ2
Partial derivatives and derivate of a function
14.3-14.4
12
(May21)
Chain rule and directional derivatives, gradient vector
14.5-14.6
13
(May28)
Maximum and minimum values and Lagrange multipliers
14.7-14.8
14
(June4)
QUIZ3
Double integrals
15.1-15.2
15
(June11)
Double integrals in polar coordinates and applications
15.3-15.4
16
Final Exam
17
(June18)
Review
18
會考
范聖彬
James Stewart, Daniel K. Clegg, Saleem Watson, Calculus: Early Transcendentals, Metric Version 9th Edition.