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.