正修科技大學網路輔助教學開課資料
正修科技大學網路輔助教學開課資料
申請日期 2006/5/3
開課學年度與學期 95 學年度 1 學期
所屬系科 電機工程系
教師姓名 林永祥
教師電子郵件信箱 lyh@csu.edu.tw
教師電話號碼(O) (07)7310606-3423
教師電話號碼(H) (不對外公開)
教師手機號碼 (不對外公開)
課程名稱 微積分(一)
課程代碼 450331
是否曾開設相同網路課程 未開設相同課程
教材內容異動比例 100(%)
錄製技術異動比例 0(%)
教材自製比例 100(%)
日間部(部) 日間部四技(所系科) 電機工程系
課程實施對象 (學制)
一(年級) 甲(班別)
其他開放班級
學分數與時數 3 學分 3 小時
必選修別 必修
授課教室類別 專屬視聽教室
Calculus is one of the greatest
achievements of the human intellect.
Inspired by problems in astronomy,
Newton and Leibniz developed the
課程簡介
idea of calculus 300 years ago. Since then,
each century has demonstrated the
power of calculus to illuminate questions
in mathematics, the physical
sciences, engineering, and the social and
biological sciences.
Calculus has been so successful because
of its extraordinary power to
reduce complicated problems to simple
rules and procedures. Our goal is to
provide students with a clear
understanding of the idea of calculus as a
solid
foundation for subsequent courses in
mathematics and other disciplines.
This text is written for first-year
undergraduate students. It is assumed
that students have completed high school
math courses. Our primary goal is
to teach the techniques of differential and
integral calculus that students are
likely to encounter in undergraduate
courses in their majors and in
subsequent professional activities. The
exposition is designed to provide the
basic concepts of calculus without
sacrificing mathematical accuracy.
Calculus is fundamentally different from
the mathematics that you have studied
previous. Calculus is less static and more
dynamic. It is concern with change and
motion; it deals with quantities that
approach other quantities.
課程學習目標
For that reason it may be useful to have
an overview of subject before beginning its
intensive study.
Here we give a glimpse of some of the main
ideas of calculus by showing how limits
arise when we attemp to solve a variety of
problem.
By the time you finish this c
ourse, you will be able to use t
he ideas of calculus to solve th
e problems of tecnology and econ
omic.
In chapter 1 we stardy the definition of
limits and its properties.
In chapter 2 we learn how to obtain the
derivatives of functions. We
develop properties of derivatives, it’s
contain the rules for differentiating
products, quotients, and composite
functions.
課程大綱
In chapter 3 its aim is to enable the
student to use the drivative in solving
problems, including optimization and
graphing.
In chapter 4 we shall learn some
techniques to solve problem of
integration.
Week1：Section 1-1
Section 1-2
Week2：Section 1-3
Section 1-4
and infinite limit
Week3：Section 2-1
Derivative
Week4：Section 2-2
課程進度表
Differentiation
Limits
One-Sided Limit
Continuity
A limit at infinity
Definition of
The Rule of
Week5：Section 2-3 Chain Rule and Implicit
Differentiation
Week6：Section 2-4 The Derivatives of
Trigonometric Functions
Section 2-5 The Derivative of the
Inverse Trigonometric
Functions
Week7：Section 2-6
Derivatives of
Exponential and Logarithmic Functions
Week8：Section 3-1 The Mean Value Theorem
and its Applications
Section 3-2 Increasing and
Decreasing Functions
Week9：Section 3-3 Maximum and Minimum
Values
Section 3-4 The Max -Min Problems
Week10：Section 3-5 Concavity and Points
of Inflection
Section 3-6
Week11：Section 3-7
Week12：Section 3-8
Asymptotes
Sketching curve
Numerical
Approximate –Differentials
Section 3-9 L’Hopital’s Rule
Week13：Section 3-10 Taylor Series
Week14：Section 4-1 Antiderivative and
The Indefinite Integrals
Week15：Section 4-2 Integration by Changing
Variables
Week16：Section 4-3 Integration by Parts
先修課程
基礎數學(高中、職數學)
Calculus Ι By Austin , Bill , Danil ,
Frank and Gray
課程主要教材
CSU Math Publishing Series 1
1.微積分
2.微積分
版社
課程參考資料 3.精解微積分
版社
4.怎樣解題
5.微積分入門
楊維哲著 三民出版社
高雄工專數學研究會 登文出
劉豐榮、林永祥編著
張億壽譯
康明昌著
千立出
眾文圖書公司
牛頓出版社
6. Calculus with Analytic Geometry
Johnson and Kiokemeister’s 嘉賢出版社
1.回覆平台討論區的問題
2.有一節課會在教室討論與習題演練
3.網路繳交作業(Word 檔，要練習 Word 的編輯
輔導方式 器)及作業上傳，不收手寫作
業。
4.諮詢時間至研究室
諮詢時間
週一至週四 中午 1200~1230
辦公室地點 : 160310(電機系館 3 樓)
辦公室地點與電話 辦公室電話 : (07)7310606-3423
使用平台與錄製方式
錄製 wmv 串流語音檔
作業：30%
平台：10%
課程評量方式 期中考(筆試)：30%
期末考(筆試)：30%
已開過二專部微積分學(二)、大學部微積分學
(一)、大學部微積分學(二)、二專部微積分學
(全)及大學部微積分學(二)(英文版)之 e 化輔
助教學。
其他有助於審查資料
已完成數位化教材，網址如下：
csm00.csu.edu.tw/0227/lyhcal941index.htm
個人網站資料
csm00.csu.edu.tw/0227/lyhcal942index.htm
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