■ 主要參考書籍/資料 (Textbooks and References)
(教科書遵守智慧財產權觀念不得非法影印) Calculus David Guichard
此為美國數學學院認證之教科書，可於網上免費下載。
網址：https://aimath.org/textbooks/approved-textbooks/guichard/
點選 For more information and to download
選擇 Multivariable calculus, late transcendentals, in PDF format or HTML format.
■ 本課程是否有使用原文書 是
■ 教學進度(Course Schedule) - 18週次(Weeks)
週次 Week
日期 Date
內容主題 Course Topics and Contents指定閱讀資料 Course Reading Materials
1
112/02/13 ~ 112/02/18
Power series, Term-by-term differentiation and integration, Taylor and Maclaurin series
2
112/02/19 ~ 112/02/25
Integrals of vector functions, Arc length, Functions of several variables, Level curves and level surfaces
3
112/02/26 ~ 112/03/04
Limits, Continuity, Partial Derivatives
4
112/03/05 ~ 112/03/11
Partial differential equations, Tangent planes and linear approximation
5
112/03/12 ~ 112/03/18
Differentiability(1st exam)
6
112/03/19 ~ 112/03/25
Tangent planes to parametric surfaces,The chain rule, Implicit differentiation
7
112/03/26 ~ 112/04/01
Directional derivatives, Tangent planes to level surface, Tangent lines to level curve
8
112/04/02 ~ 112/04/08
Maximum and minimum values, Second derivative test
9
112/04/09 ~ 112/04/15
( Midterm )
10
112/04/16 ~ 112/04/22
Global maximum and minimum values, Lagrange Multipliers
11
112/04/23 ~ 112/04/29
Double integrals over rectangles, Iterated integrals
12
112/04/30 ~ 112/05/06
Double integrals over general bounded regions, Double integrals in polar coordinates
13
112/05/07 ~ 112/05/13
Triple integrals over boxes(2nd exam)
14
112/05/14 ~ 112/05/20
Triple integrals over general bounded regions, Cylindrical and spherical coordinates
15
112/05/21 ~ 112/05/27
Triple integrals in cylindrical and spherical coordinates
16
112/05/28 ~ 112/06/03
Change of variables in multiple integrals
17
112/06/04 ~ 112/06/10
The precise definition of a limit
18
112/06/11 ~ 112/06/17
(Final)
■ 學習活動與作業說明 (Learning Activities and Assignments) 每週指定作業，並小考(Quiz)一次。
