105學年第二學期東海大學教師授課計劃表
Course Plan of Tunghai University
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 4188 學分數 Credits 3
必選修別 Required/Elective 必修 先修課程 Prerequisites Precalculus
課程概述(系所共同性目標)
Course Description		 單變數函數之微分學及其應用、定積分觀念與計算及其應用

Differential/Integral Calculus for One Variable and Their Applications
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) 18:20-20:10/Thu(四) 18:20-20:10 [ ST529]
Office Hours

Time: Monday 一 / Friday 09:10-10:00am and by appointment

Room: ST611(Ext32511)
教學助理資料
Teaching Assistant 王靖惠： 辦公室 Office:  ST602 分機 Ext 32508
Recitation Class Thu(四) 19:20-20:10 [ C104] 聯絡方式
Contact Information		 電話(Phone)： 分機 Ext 32508

Email：ojh951227@gmail.com

三、課程大綱 Syllabus
■  課程目標 (Course Objectives)

We will study two basic concepts in this class: 

1. Differentiation for Functions of Several Variables 

2. Integration for Functions of Several Variables
■  ※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)
Thomas' Calculus, 12th Edition, by George B. Thomas Jr./Maurice D. Weir/Joel R. Hass, 2010.

thomas_12
 Homework Assignments(指定習題)
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
 HW means Homework
1 02/15,16 7.6 Inverse Trigonometric Functions/8.1 Integration by Parts

8.4 Integration of Rational Functions by Partial Fractions
2 02/22, 23 8.7 Improper Integrals/10.1 Sequences/10.2 Infinite Series

HW#1(due 02/23): Homework Assignments for 7.6, 8.1, 8.4
3 03/01, 02 10.1 Sequences/10.2 Infinite Series

10.3 Integral Test/10.4 Comparison Test/10.5 Ratio/Root Tests

HW#2(due 03/02): Homework Assignments for 8.7, 10.1, 10.2
4 03/08, 09 10.6 Alternating Series/Absolute & Conditional Convergence

HW#3(due 03/09): Homework Assignments for 10.5, 10.6
5 03/15, 16

10.7 Power Series

HW#4(due 03/16): Homework Assignments for 10.7, 10.8
6 03/22, 23

10.8 Taylor Series with Applications

First Exam (Material covered in chapter 10)
7 03/29, 30

Go over the 1st exam

10.8 Taylor Series with Applications

Old Exam01for2nd Exam    Old Exam02for2nd Exam
8 04/05, 06 4/3-4/4兒童節、民族掃墓節放假，4/5調整放假
9 04/12, 13

Second Exam (Material covered in the first 4 HW's)
10 04/19, 20 14.1/14.2/14.3 Derivatives in Higher Dimensional Spaces

HW#5(due 04/20): Homework Assignments for 14.2, 14.3
11 04/26, 27

14.4 The Chain Rule/14.5 Directional Derivatives

HW#6(due 04/27):Homework Assignments for 14.4, 14.5
12 05/03, 04

14.4 The Chain Rule/14.6 Tangent Planes and Differentials

HW#7(due 05/04): Homework Assignments for 14.6, 14.7
13 05/10, 11

14.7/14.8 Extreme Values and Lagrange Multipliers

Study Guide for Chapter 14 / OldExam01for3rdExam

HW#8(due 05/11): Homework Assignments for 14.8, 15.2
14 05/17, 18

15.1/15.2/15.4 Double Integrals/15.5 Triple Integrals

Third Exam on Thursday 05/18 (Chapter 14)
15 05/24, 25

15.7 Triple Integrals in Cylindrical/Spherical Coordinates

HW#9: Homework Assignments for 15.4, 15.5
16 05/31-6/1 15.8 Substitutions in Multiple Integrals

HW#10: Homework Assignments for 15.7, 15.8
17 06/07, 08

Study Guide for Chapter 15 / Old Exam for Final

Final Exam
18 06/14, 15 Final Exam week  

■  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

 20% 03/23/2016(四)
2 2nd Exam

第二次考試

 20% 04/13/2016(四)
3 3rd Exam

第三次考試

 20% 05/18/2016(四)
4 Final Exam 

期末考試

 20% 06/08/2017(四)
5 Homework and 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
■ 上課法則 (In Class Bylaw)
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。
■  教師教材上網網址 (Personal Website)  billshen.thu.edu.tw/