微積分A[下]

100學年第二學期東海大學教師授課計劃表 Course Plan of Tunghai University for 2012 Spring
一.課程基本資料 Course Information
開課系所 Department	(日)數學系 Mathematics
課程名稱 Course Title	微積分Ａ下電機系一 Calculus A2 for EE
課程編號 Course Number	24120	學分數 Credits	4 - 4
必選修類別 Required/Elective	必修	先修課程 Prerequisites
先修課程說明 Prerequisites instruction	微積分Ａ上(Calculus A1)
課程概述(系所共同性目標) Course Description	冪級數理論及其應用、多變數函數之微分學及其應用、多重積分及其應用 Power Series, Differentiation and Integration for functions of several variables and their applications.

二、教學相關資料 Instruction Information

授課教師資料

授課教師 Instructor

沈淵源

billshen@thu.edu.tw

011-886-4-2359-0121X32511

上課時間 (地點)
Time (Place) to meet

M 16:20--18:00(ST529), W 14:10--15:00 (HT 007) and F 11:20--12:00 (ST 523)

晤談時間Office Hours

時間 Time: Tuesday 5:00pm-6:00pm & Wednesday 9:00am-10:00am 或另約 or by appointment

地點Office: ST611(Tel. 2359-0121-ext32511)

教學助理資料
教學助理 Teaching Assistant	林懌：辦公室 Office: ST601 分機 Ext 32505
課業討論時間 Recitation Class	Wednesday15:20--16:10(ST 529)	聯絡方式 Contact Information	電話(Phone)：分機 Ext 32505 Email： linyiz0801@thu.edu.tw

三、課程大綱 Syllabus

■ 課程目標 (Course Objectives)

此課程為科學研究的基礎﹐我們要談如何以數學的方法來研究變動中的事物。

包括四個主要的大課題：有連續性﹑是微分法﹑是積分法還有級數之收斂性。

原理與計算並重。上學期講單變數微積分而下學期則談級數與多變數微積分。

不管你將來要走向那一個行業﹐此種訓練對你百分之百是必要且大有好處的。

讓我們以嶄新的心情﹐用有限理性來探討那深藏無限奧祕又豐盛無比的真理。

■ ※主要參考書籍/資料 (Textbooks and References) Stewart Calculus, 5th ed.

教學進度（分週次說明教學內容主題與指定閱讀資料）(Course Schedule) 注意 Note: RQ = Reading Quiz

週次
Week

日期Date

內容主題與進度 Course Topics and Class Schedule

指定閱讀資料連結 Course Reading Materials Links

1	02/19 ~ 02/25	02/20：Review on Series 02/22：Review on Power Series with one application, Introduction to ODE 02/24：1st order ODE's of the form y'= f(x,y). linear, separable, exact RQ #01
2	02/26 ~ 03/03	02/29：Second-Order Linear ODE's; Theory: H, NH; Particular Solution: UC, VP 03/02：Application of Power Series on solving ODE's: Series Solution at Ordinary Point 03/03=02/27：More on Linear ODE's: Operator Method RQ #02
3	03/04 ~ 03/10	03/05：No classes for bad reason. Have a nice day, anyway. 03/07：Functions of Several Variables and Their Graphs: RectangularC, CylindricalC, SphericalC 03/09：Differentiability on Several Variables Functions RQ #03
4	03/11 ~ 03/17	03/12：Tangent Plane Approach for Functions of 2 Variables on Differentiability 03/14：Partial Derivatives for Functions of Several Variables 03/16：Directional Derivatives RQ #04
5	03/18 ~ 03/24	03/19：Directional Derivatives and Chain Rules 03/21：More on Chain Rules 03/23：Applications of Chain Rule including Tangent Planes Again RQ #05
6	03/25 ~ 03/31	03/26：1st Mid-Term Exam (Review of the exams from last semester is helpful) key to 1st mid-term 03/28：Absolute Maxima and Minima 03/30：Second Derivative Test for Relative Extrema
7	04/01 ~ 04/07	04/02：Method of Lagrange Multipliers 04/04：Spring Break 04/06：Spring Break
8	04/08 ~ 04/14	04/09：Double Integrals in Rectangular Coordinates, Fubini Theorem 04/11：Double Integrals in Polar Coordinates RQ #06 04/13：No classes (Happy Study Day!)
9	04/15 ~ 04/21	Mid-Term Exam
10	04/22 ~ 04/28	04/23：Go over Mid-Term Exam with T. A. 04/25：Triple Integrals in Rectangular Coordinates RQ #07 04/27：Triple Integrals in Cylindrical Coordinates
11	04/29 ~ 05/05	04/30：Triple Integrals in Spherical Coordinates Surface Area 05/02：Change of Variables on Multiple Integrals RQ #08 05/04：More on Change of Variables on Multiple Integrals
12	05/06 ~ 05/12	05/07：Line Integrals of a Scalar Field, Line Int's of a VF RQ #09 05/09：Fundamental Theorem on Line Integrals (Statement) 05/11：More on FTLI Example Wiki
13	05/13 ~ 05/19	05/14：Conservation of Energy and Green Theorem RQ #10 05/16：Green Theorem and its Applications 05/18：Curl and Divergence of Vector Fields 05/19：Study day for 1st final exam (No Class) RQ #11
14	05/20 ~ 05/26	05/21：1st Final Exam 05/23：Surface Area (Differential Surface Area) 05/25：Mass of Lamina and Surface Integrals RQ #12
15	05/27 ~ 06/02	05/28：Oriented Surfaces and Flux 05/30：Flux Integrals Ex1 Ex2 RQ #13 06/01：Stokes' Theorem
16	06/03 ~ 06/09	06/04：More on Stokes' Theorem RQ #14 06/06：Divergence Theorem 06/08：More on Divergence Theorem RQ #15
17	06/10 ~ 06/16	06/11：2nd Final Exam 06/13：Review 06/15：No classes (Happy Study Day!)
18	06/17 ~ 06/23	期末考試週 Final Examination Week

■ 評分方式 (Grading Policy)

　

	評分項目 Assessment Item	配分比例 Percentage	相關說明 Description
1	期中考試A (Mid-term Exam A)	20%	03/26
2	期中考試 (Mid-term Exam)	20%	04/15 ~ 04/21
3	期末考試A (Final Exam A)	20%	05/21
4	期末考試 (Final Exam)	20%	06/11 or 06/17 ~ 06/23 if needed
5	閱讀測驗(Reading Quizzes)	20%	每週一次(Once a week)