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 |
Calculus |
|
課程編號
Course Number |
3096 |
學分數
Credits |
3 - 0 |
| 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 |
Thursday 09:10-10:00 noon (H105) |
| 晤談時間Office Hours |
Hours時間: Monday/Friday 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 |
周昌勝：
辦公室 Office: ST603 分機 Ext 32509 |
課業討論時間
Recitation Class |
二/12:00-15:00 (Office Hours) |
聯絡方式
Contact Information |
電話(Phone)： 分機 Ext
32509
Email：g04240701@thu.edu.tw |
|
|
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)
Brief Calculus & Its Applications, Goldstein/Lay/Schneider/Asmar, 12th
Edition, 2010, Pearson Education International.
 |
教學進度(Course Schedule)
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 |
09/15/2016: Mid Autumn Festival/4-days Fall
Break
(Diagonostic Test
at home and check
answer here) |
|
2 |
09/22/2016:
Review
Chapter 0/Terminologies and Notations/Overview
of Calculus
Suggested exercises:(pp. 91-92) 2, 9, 17, 20,
23, 29, 35, 45, 52, 59, 66 |
|
3 |
09/29/2016:
The Slope of a Curve at a Point/Rate of
Change/The Derivatives
Reading Quiz 01/Suggested exercises: (p.106) 7,
11, 17, 21,
27, 37, 43 |
|
4 |
10/06/2016:
Differentiability/Continuity/Constant Multiple
and Sum
Rules
Reading
Quiz 02
Suggested exercises: (p.114) 7, 19, 23,
25, 37, 40; (p.165) 9, 19, 27, 29 |
|
5 |
10/13/2016:
Differentials/Curve
Sketching (First four sections of Chapter 2)
Reading
Quiz 03
Suggested exercises: (p.205) 30, 32, 33, 35, 39,
40 |
|
6 |
10/20/2016: Product and Quotient Rules/Chain Rule/Implicit
Differentiation
First
Micro-century Exam/Suggested exercises: (p.213)
18, 27, 32, 48; (p.222) 7, 11, 23, 27 |
|
7 |
10/27/2016:
The Exponential Functions and their
Derivatives/Reading
Quiz 04 |
|
8 |
11/03/2016: More
Applications of the Derivatives/Reading
Quiz 05 |
|
9 |
11/10/2016: Second Micro-century Exam |
|
10 |
11/17/2016:
The Logarithm Functions and their
Derivatives/Reading
Quiz 06 Suggested exercises:
(p.238)
27, 35, 37, 39, 42-43; (p.242) 29, 31 |
|
11 |
11/24/2016: Areas and Riemann sums/The Definite Integrals
Reading
Quiz 07/Exercises:
(p.251) 15, 17, 25; (p.256) 43, 45, 47 |
|
12 |
12/01/2016: FTC/Evaluation
of Definite Integrals/Apps on Definite Integrals/Reading
Quiz 08
Exercises:
(p.324) 6-7, 11, 17, 22, 30, 32; (p.332) 5, 7,
11, 13, 17 |
|
13 |
12/08/2016: Integration by Substitution/Trig
Functions and their Derivatives
Reading
Quiz 09/Exercises:
(pp.340-341) 1, 7,
29, 31;
(p.425) 1, 7, 12, 16, 26, 31, 35 |
|
14 |
12/15/2016:
Integration by Parts/Reading
Quiz 10/Third Micro-century Exam
Exercises:
(p.410) 13, 21; (p.415) 21, 31
|
|
15 |
12/22/2016:
Review/(p.426)
43, 49; (p.430) 1, 13, 16, 17, 22, 36
Fourth
Micro-century Exam
(Extra, so that you may have 15 more added to
your final grade!) |
|
16 |
12/29/2016: Review for
Final Exam |
|
17 |
01/05/2017: Final Exam |
|
18 |
01/12/2017: 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% |
10/20/2016 |
| 2 |
2nd Micro-century Exam
第二次微世紀考試 |
15% |
11/10/2016 |
| 3 |
3rd Micro-century Exam
4th Micro-century Exam |
15% |
12/15/2016
12/22/2016 |
| 4 |
Final Exam
期末雙微世紀考試 |
30% |
01/05/2017 |
| 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, finish reading quiz on Wednesday 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 your cell phone,
notebook computer, iPad, ... . |
| ■ 教師教材上網網址 (Personal Website)
http://web.thu.edu.tw/billshen/www |
|
| |
|
