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課程名稱 |
常微分方程導論
Introduction to Ordinary Differential Equations |
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開課學期 |
100-1 |
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授課對象 |
理學院 數學系 |
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授課教師 |
林太家 |
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課號 |
MATH2205 |
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課程識別碼 |
201 24900 |
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班次 |
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學分 |
3 |
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全/半年 |
半年 |
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必/選修 |
必修 |
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上課時間 |
星期二7,8(14:20~16:20)星期五1,2(8:10~10:00) |
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上課地點 |
新102新102 |
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備註 |
教學改善計畫課程，有教學助理實施小班輔導。
總人數上限：100人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1001ODE |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
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課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
In this course, I’ll introduce differential equations (DE) including the following topics.
1.First order DE (textbook 3)
2.Systems of first order DE (textbook 2, 3)
3.Variable Coefficient, Second Order, Linear, Ordinary DE (textbook 1)
4.Boundary Value Problems and Sturm–Liouville Theory (textbook 1,3)
5.Fourier Series and the Fourier Transform (textbook 1)
6.Laplace Transforms (textbook 1, 3)
7.Existence, Uniqueness, Continuity of Solutions of Ordinary DE (textbook 1,4)
8.Phase Plane Methods (textbook 1, 2, 4)
9.Group Theoretical Methods (textbook 1)
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課程目標 |
Introduce basic theorems and concepts of ordinary differential equations (ODE). Through this course, students may learn standard results of ODE and related topics. |
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課程要求 |
Linear Algebra and Calculus |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
1.A.C. King, J. Billingham and S.R. Otto, Differential Equations (DE), CUP 2003
2.Hirsch and Smale, DE, Dynamic Systems and Linear Algebra, AP 1974
3.J.R. Brannan and I.W. Boyce, Differential Equations (DE), JWS 2010
4.R.K. Nagle, E.B. Saff and A.D. Snider, Fundamentals of DE and BVP, PAW 2008 |
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參考書目 |
1.A.C. King, J. Billingham and S.R. Otto, Differential Equations (DE), CUP 2003
2.Hirsch and Smale, DE, Dynamic Systems and Linear Algebra, AP 1974
3.J.R. Brannan and I.W. Boyce, Differential Equations (DE), JWS 2010
4.R.K. Nagle, E.B. Saff and A.D. Snider, Fundamentals of DE and BVP, PAW 2008
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評量方式
(僅供參考) |
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No. |
項目 |
百分比 |
說明 |
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1. |
Test 1 |
20% |
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2. |
Test 2 |
20% |
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3. |
Test 3 |
20% |
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4. |
Final |
40% |
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週次 |
日期 |
單元主題 |
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第2週 |
9/16 |
1st order equations |
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第3週 |
9/20 |
separable variables |
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第4週 |
09/23 |
Linear systems constant coeffs |
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第5週 |
10/4 |
Linear Systems |
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