106學年第一學期東海大學教師授課計劃表
Course Plan of Tunghai University for 2017 Fall
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

 微積分甲〈二〉   Calculus II
課程編號 Course Number 4209 學分數 Credits 3
必選修別

Required/Elective

 必修 先修課程

Prerequisites

 Calculus I
課程概述
Course Description		 多變數函數之微分學、積分學及其應用

Differential/Integral Calculus for Multiple Variables

二、教學相關資料 Instruction Information
授課教師資料
Instructor

沈淵源

billshen@thu.edu.tw

Ext 32511

Time [Place] to meet Wed(三) 14:10-17:10/Fri(五) 14:10-15:00 [ST529]
Office Hours

Time: Monday 一 / Friday 09:10-10:00am and by appointment
Room: ST611(Ext 32511)
教學助理資料
Teaching Assistant 黃子宣/ 辦公室 Office:  ST514
Recitation Class Wed(三)14:10-15:00 聯絡方式
Contact Information		 電話(Phone)： 分機 Ext 32507

Email：hsuan2403@thu.edu.tw
三、課程大綱 Syllabus
■ Course Objectives 課程目標

We will study two basic concepts in this class: 

1. Differentiation for Functions of Several Variables 

2. Integration for Functions of Several Variables
■ Textbook thomas_12
 Thomas' Calculus, 12th Edition, by George B. Thomas Jr./Maurice D. Weir/Joel R. Hass, 2010
　
週次
Week		 日期Date 內容主題與進度 Course Topics and Class Schedule
指定資料連結 Course Reading Materials Links
 
1 09/20/2017

09/22/2017

 10.1 Sequences

10.2 Infinite Series
2 09/27/2017

09/29/2017

 10.3 The Integral Test/Suggested Exercises:6,7,13,19,28,57

10.4 Comparison Tests/Suggested Exercises:3,5,6,11,15,63,65,67
3 10/04/2017

10/06/2017

 No Classes/Happy Holiday! 中秋節

10.5 The Ratio and Root Tests
4 10/11/2017

10/13/2017

 10.6 Alternating Series/Absolute & Conditional Convergence

Recitation Class (Discussion of Exercises)
5 10/18/2017

10/20/2017

10.7 Power Series/Old Exam 01 for the 1st Exam

Recitation Class (Discussion of Exercises)
6 10/25/2017

10/27/2017

10.8 Taylor Series with Applications

14.1/14.2 Derivatives in Higher Dimensional Spaces
7 11/01/2017

11/03/2017

First Exam (Material covered in chapter 10)

No classes/Old Exam 02 for the 1st Exam
8 11/08/2017

11/10/2017

11/11/2017

14.3 Derivatives in Higher Dimensional Spaces

14.4 The Chain Rule

Second Exam 統一考試 地點: 中正堂15區11排(早上10:30-12:10)
9 11/15/2017

11/17/2017

No Classes

No Classes
10 11/22/2017

11/24/2017

 14.4 The Chain Rule

Discuss the second exam
11 11/29/2017

12/01/2017

 14.5 Directional Derivatives/14.6 Tangent Planes and Differentials

Study Guide for Chapter 14
12 12/06/2017

12/08/2017

 14.7 Extreme Values/14.8 Method of Lagrange Multipliers

Recitation Class (Discussion of Exercises)
13 12/13/2017

12/15/2017

15.2-3 Double Integrals in Rectangular Coordinates

Recitation Class (Discussion of Exercises)
14 12/20/2017

12/22/2017

15.4 Double Integrals in Polar Coordinates(2:10-3:00pm)

Third Exam (3:30-4:50pm)

Recitation Class (Discussion of 3rd exam)/Old Exam for the 3rd

15 12/27/2017

12/29/2017

15.5/7 Triple Integrals in Rectangular/Cylindrical/Spherical Coordinates

Recitation Class (Discussion of Exercises)
16 01/03/2018

01/05/2018

 15.8 Substitutions in Multiple Integrals

Recitation Class (Discussion of Exercises)
17 01/10/2018

01/12/2018

Review for Final Exam

Study Guide for Chapter 15/Old Exam for Final
18 01/13/2018 Final Exam 統一考試

■  評分方式 (Grading Policy)

　 評分項目
Assessment Item		 配分比例
Percentage		 相關說明
Description
1 1st Exam第一次考試 15% 10/25/2017
2 2nd Exam第二次考試 25% 11/11/2017 統一考試
3 3rd Exam第三次考試 15% 12/20/2017
4 4th Exam第四次考試 25% 01/13/2018 統一考試
5 Homework/Quizzes

平時分數

 20% 每次上課的表現加上習題與助教課隨堂測驗的表現
■ In Class Bylaw 上課法則

內規：預習乃是修課必要且是第一重要的環節，因為它可幫助你更有效的學習。
開心：帶著好心情來上課並且專心聽講作筆記；
張眼：萬一睡著了，沒關係，但記得張開眼睛；
閉口：請閉尊口，這包括不聊天、不吃東西等；
關機：這包括手機、筆電等物品，違者充公也。
■ Personal Website 教師教材上網網址   billshen.thu.edu.tw/