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 應用數學系 Applied Mathematics
課程名稱 Course Title 微積分甲(一) Calculus A1
課程編號 Course Number 4184 學分數 Credits 3 - 0
必選修別 Required/Elective 必修 先修課程 Prerequisites Precalculus
先修課程 Prerequisites 高中代數(High School Algebra)
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		 一 3:20-4:10 [HT109] 三 10:20-12:00 [A107]
晤談時間

Office Hours

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

Room地點:ST611(Ext 32511)
教學助理資料
Teaching Assistant 謝宗憲/ 辦公室 Office:  ST514
Recitation Class 一 6 [HT109] 聯絡方式
Contact Information		 電話(Phone)： 分機 Ext 32507

Email：solomon34@thu.edu.tw

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

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。
■ Textbook thomas_12
 Thomas' Calculus, 12th Edition, by George B. Thomas Jr./Maurice D. Weir/Joel R. Hass, 2010
教學進度(Course Schedule) 
週次
Week		 　 內容主題與進度 Course Topics and Class Schedule
指定資料連結 Course Reading Materials Links
 
1 09/18/2017: Diagonostic Test in class and check answer here

Review Chapter 1 if needed

09/20/2017: 2.2 Limits/Reading Quiz #1
2 09/25/2017: 2.4 One-sided Limits/Continuity

09/27/2017: 2.5 Limits Involving Infinity/Reading Quiz #2
3 10/02/2017: 2.6 Asymptotes/3.2 Differentiability

10/04/2017: Happy Holiday!
4 10/09/2017: Happy Holiday!/PPT01

10/11/2017: More Examples on Derivatives/Reading Quiz #3
5 10/16/2017: Derivative of Power Functions/3.3 Differentiation Rules

10/18/2017: 3.5 Derivatives of Trig Functions/3.6 Chain Rule
6 10/23/2017: 3.7 Implicit Differentiation/3.9 Linearization and Differentials

Reading Quiz #4/Old Exam 101/Old Exam 102

10/25/2017: 4.1 Extreme Values of Functions
7 10/30/2017: 4.2 Mean Value Theorem/4.3 First Derivative Test/Reading Quiz #5

11/01/2017: First Exam
8 11/06/2017: Recitation Class (Discussion of Exercises)

11/08/2017: Review/Old Exam 103/Old Exam 104

11/11/2017 統一考試 Second Exam 地點: 中正堂15區1.3.5排(早上10：30-12：10)
9 11/13/2017: No Classes

11/15/2017: No Classes
10 11/20/2017: Discuss Second Exam/4.4 Curve Sketching/Reading Quiz #6

11/22/2017: 5.3 The Definite Integrals
11 11/27/2017: 5.3 Basic Properties of the Definite Integrals/Reading Quiz #7

11/29/2017: 5.4 Fundamental Theorem of Calculus
12 12/04/2017: 5.5 Integration by Substitution/Reading Quiz #8

12/06/2017: 8.1 Integration by Parts
13 12/11/2017: 7.2 Natural Logarithms/7.3 Exponential Functions/Reading Quiz #9

7.0 Applications of the Definite Integrals

12/13/2017: 7.5 Indeterminate Forms and l'Hopital Rule
14 12/18/2017: 7.6 Inverse Trig Functions

12/20/2017: Third Exam(10:30-11:50am)/Old Exam 201/Old Exam 202
15 12/25/2017: Merry Christmas!

12/27/2017: 8.6 Improper integrals/Reading Quiz #10

8.4 Integration of Rational Functions by Partial Fractions 

16 01/01/2018: Happy New Year!

01/03/2018: Review for Final Exam/Old Exam203/Old Exam 204
17 01/08/2018: Review for Final Exam

01/13/2018: Final Exam 統一考試
18 01/15/2018: No Classes

■ Grading Policy 評分方式

　 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% 10/23/2017
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/