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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

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

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  1. 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

  2. 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

  3. 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)

  4. 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

  5. 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

  6. 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

  7. 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.

  8. 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。

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