105學年第一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〈一〉英 Calculus A_English
課程編號 Course Number 4204 學分數 Credits 3 - 3
必選修別 Required/Elective 必修 先修課程 Prerequisites High School Algebra
先修課程說明
Prerequisites instruction		 　
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
授課教師 Instructor

沈淵源

 billshen@thu.edu.tw

EXT 32511

上課時間 (地點)
Time (Place) to meet		 Wed(三) 18:20-20:10/Thu(四) 18:20-20:10 [ ST529]
晤談時間Office Hours

Time 時間 : Monday 一/Friday 五 09:10-10:00am and by appointment

Room 地點: ST611(Ext 分機 32511)
教學助理資料
教學助理
Teaching Assistant		 王靖惠： 辦公室 Office:  ST602 分機 Ext 32508
課業討論時間
Recitation Class		 Thu(四) 19:20-20:10 [ ST529] 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. The derivative of a function at some point, a concept motivated by computing the slope of a curve at a point; 

2. The definite integral of a function over an interval, a concept motivated by evaluating the area of the region under a curve on an interval.

We will also study the connection between these two concepts and some of their applications.
■  ※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.
教學進度(Course Schedule)         建議習題(Suggested Exercises) 
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 09/14/2016(三) : Diagonostic Test at home and check answer here/Review Chapter 0 if needed

09/15/2016: No Classes
2 09/21/2016(三) : 2.2 Limits/Reading Quiz #1

09/22/2016(四) : 2.4 One-sided Limits/Continuity
3 09/28/2016(三) : 2.5 Limits Involving Infinity/Reading Quiz #2

09/29/2016(四) : 2.6 Asymptotes
4 10/05/2016(三) : 3.2 Differentiability/Reading Quiz #3

10/06/2016(四) : 3.3 Differentiation Rules/3.5 Derivatives of Trig Functions
5 10/12/2016(三) : 3.6 Chain Rule/3.7 Implicit Differentiation

10/13/2016(四) : Old Exam 101/Old Exam 102
6 10/19/2016(三) : Review/Old Exam 103

10/20/2016(四) : First Micro-century Exam
7 10/26/2016(三) : 3.9 Linearization and Differentials

10/27/2016(四) : 4.1 Extreme Values of Functions/Reading Quiz #4
8 11/02/2016(三) : Happy Birthday to Tunghai/No Classes/Old Exam 104

11/03/2016(四) : 4.2 Mean Value Theorem/Reading Quiz #5
9 11/09/2016(三) : Second Micro-century Exam

11/10/2016(四) : Discussions on Second Micro-century Exam
10 11/16/2016(三) : 4.3 First Derivative Test

11/17/2016(四) : 4.4 Curve Sketching/Reading Quiz #6
11 11/23/2016(三) : 5.3 The Definite Integrals/Basic Properties

11/24/2016(四) : 5.4 Fundamental Theorem of Calculus/Reading Quiz #7
12 11/30/2016(三) : 5.5 Integration by Substitution/Reading Quiz #8

12/01/2016(四) : 7.2 Natural Logarithms/7.3 Exponential Functions
13 12/07/2016(三) : 7.1 Inverse Functions and Their Derivatives

12/08/2016(四) : 7.5 Indeterminate Forms and l'Hopital Rule/Reading Quiz #9
14 12/14/2016(三) : 8.1 Integration by Parts

12/15/2016(四) : Third Micro-century Exam/Old Exam 201/Old Exam 202
15 12/21/2016(三) : 8.6 Improper integrals/7.6 Inverse Trig Functions/Reading Quiz #10

12/22/2016(四) : Fourth Micro-century Exam (Extra, so that you may have 15 more added to your final grade!)
16 12/28/2016(三) : 8.4 Integration of Rational Functions by Partial Fractions

12/29/2016(四) : Old Exam203/Old Exam 204
17 01/04/2017(三) : Review for Final Exam

01/05/2017(四) : Final Exam
18 01/11/2017: 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 Micro-century Exam

第一次微世紀考試

 15% 10/19/2016
2 2nd Micro-century Exam

第二次微世紀考試

 15% 11/09/2016
3 3rd Micro-century Exam

第三次微世紀考試

 15% 12/14/2016
4 Final Exam 

期末雙微世紀考試

 30% 01/04/2017
5 Homework and Quizzes

平時分數

 25% Class Participation, Homework and Quizzes

Together with Attendance of Recitation Class
■ In Class Bylaw
First thing: Each week, read the material to be covered on Tuesday night, it can help you to learn the basic concepts more effectively.
Open your heart: Be happy to attend calculus class and take note if necessary.
Open your eyes: Never mind in case of falling asleep, but keep your eyes open always.
Close your mouth: Keep silence unless you are asked to answer a question, no eating either.
Shut down your electronics: This includes cell phone, notebook computer, iPad.
■  教師教材上網網址 (Personal Website)

    http://web.thu.edu.tw/billshen/www