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海洋大學 通訊與導航工程學系 『 微積分 』 課程簡介 , 2013 PowerPoint Presentation
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海洋大學 通訊與導航工程學系 『 微積分 』 課程簡介 , 2013. 曾慶耀: b0102@ntou.edu.tw Room803. X7203 http://smcl.cge.ntou.edu.tw. 1>Text book : Calculus, Early Transcendental Functions By: [Robert Smith, and Roland Minton] 2012, Fourth Edition 代理書局 : 海大五南書局 (NT.$900)

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海洋大學 通訊與導航工程學系『微積分』課程簡介, 2013

曾慶耀:b0102@ntou.edu.tw

Room803. X7203

http://smcl.cge.ntou.edu.tw

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1>Text book : Calculus, Early Transcendental Functions

By: [Robert Smith, and Roland Minton]

2012, Fourth Edition

代理書局 :海大五南書局(NT.$900)

2>References(Similar) : Calculus,[Larson] : 歐亞書局

: 理工微積分,[莊紹容]:東華書局

(Advanced) : Calculus,Vol. I,II [Apostol]

3>Other Resources :

1.台大數學系微積分教學網站

2.中央研究院數學所:「數學傳播」

3.天下文化:微積分之屠龍刀、倚天劍

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4>Grading policy

H.W. : 20% (Given weekly,due one week after)

Quiz : 10%

Mid-term Exam : 35%

Final Exam : 35%

5> ‧Office Hours : Thursday 3:00 – 5:00 p.m

(Room 803) X7203

‧H.W. discussion : To be arranged by Graders

(補強教學,有益)

‧Graders : X7220,Room916

6>Website : http://smcl.cge.ntou.edu.tw (資料下載)

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1 st semester :

Ch.1 : Limitsand Continuity

Ch.2 : Differentiations

Ch.3 : Application of Differentiation

Ch.4 : Integrals

Ch.5 : Applications of Definite Integrals

Ch.6 : Technique of Integration

(Ch.7) : First Order Differential Equations

7>Topics to be covered

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Second semester :

Ch.8 : Series

Ch.9 : Parametric Eq. and PolarCoordinates

Ch.10 : Vector and Geometry of Space

Ch.11 : Vector – Valued Functions

Ch.12 : Functions of Several Variables and

Partial Differentiation

Ch.13 : Multiple Integrals

Ch.14 : Vector Calculus

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8>CalculusIntegration(歷史悠久, Σ三角形,求圓面積;

觀念容易,運算較繁)

+

Differentiation(發展較晚,觀念較抽象,

運算容易);

Newton,Leibenitz貢獻相當

(牛頓獨享盛名)

9>Why Calculus: ‧To study the behavior of

dynamic system(動態系統)

‧探討”改變”(change)/變化

例:(電場變化->感應磁場;反之亦然)

‧若已達”穩態”(不再改變)

=>線性代數(聯立方程即可)

不勞微積分

10 limit
10>極限(Limit)之概念是,微積分之基石(級數+數列)10>極限(Limit)之概念是,微積分之基石(級數+數列)

f(x)

f(X+ΔX)

X+ΔX

X

f(X)

a

b

ΔX

Note‧無窮小ε; 至小無內(莊子天下篇/惠施)

‧無窮大∞; 至大無外

‧一尺之棰, 日取其半, 萬世不竭.

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11>教學目標~ ‧Guided tour through the text book

‧幫助想唸書之同學念完課本,

且不覺得太吃力

‧告知重點,指引觀念(少就是多,慢就是快)

(最好有趣,至少清楚)

12>Note : Ex(Hw)須自己動手做,才有實效(做功→能量提升)

Group Study OK (沒有所謂”輕鬆學”,No pain,No gain)

13>上課 : 缺席≧3須注意,禁止交談,小歇OK ,歡迎提問

考試 : 評量學習成效;絕對禁止投機(助人)

14>學習成效指標:運算技巧 → 清晰觀念

→活用(解決實際問題)→創新理論

15>教育目標:成就自己,服務他人。