課程資訊
 課程名稱 常微分方程導論Introduction to Ordinary Differential Equations 開課學期 103-1 授課對象 理學院  數學系 授課教師 林紹雄 課號 MATH2205 課程識別碼 201 24900 班次 學分 3 全/半年 半年 必/選修 必修 上課時間 星期二7,8(14:20~16:20)星期五1,2(8:10~10:00) 上課地點 新102新102 備註 教學改善計畫課程，有教學助理實施小班輔導。時段:五1總人數上限：100人 Ceiba 課程網頁 http://ceiba.ntu.edu.tw/1031MATH2205_ODELIN 課程簡介影片 核心能力關聯 核心能力與課程規劃關聯圖 課程大綱 為確保您我的權利,請尊重智慧財產權及不得非法影印 課程概述 This is an introductory course for Ordinary Differential Equations (ODE). We will cover at least 70% of chapter 1 to Chapter 10 of the textbook {\bf Differential Equations with Boundary-Value Problems} by {\bf Dennis Zill and Warren Wright}. We shall emphasize the 1st order ODE, higher order linear ODE or systems of 1st order linear ODE with constant coefficients, 2nd order linear ODE, and 2 by 2 automonous first order systems. Various methods will be introduced to find {\bf exact, series}, or {\bf approximate} solutions to above-mentioned ODEs. Various applications and motivations will come in hand as the course progresses. A more detailed course contens (a week by week descriptions) will be given at the first class date. 課程目標 The instructor hopes that the students can learn from this course the basic techniques of solving a {\bf solvabe} ODE, and appreiciate their wide variety of applications. 課程要求 Home work: 20%. Midterm: 40%. Final: 40%. \\ At the end of each lecture, the instructor will give 5 to 10 problems for students to take home as homework problems. The students are required to turn in the solutions of these problems to TA. The TAs will grade these problems. These homework grades counts all 20% of the course grade. MIDTERM DATE: 11/08/2014, 9 am to 12 am. FINAL DATE: 01/10/2015, 9 am to 12 am. 預期每週課後學習時數 Office Hours 另約時間 備註： I don't have a fixed office in Math Department. Please contact TA first if you have any problems. 參考書目 None 指定閱讀 Zill, Dennis G. and Wright, Warren S., Differential Equations with Boundary-Value Problems , 8th edition, Brooks/Cole Publishing Company (2013). 評量方式(僅供參考)
 課程進度
 週次 日期 單元主題 第1週 9/16,9/19 Chapter 1 and Chapter 2. HW No.1: Exercise 1.1, Prob. 25, 58. Exercise 2.2, Prob. 22, 52, 54, 56. Exercise 2.3, Prob. 21, 41, 47, 49. 第2週 9/23,9/26 9/23 is TA session. Chapter 1 (Sec 1.2), Chapter 2 (Sec 2.5), Chapter 3. HW No.2: P.69, Prob. 24. P.70, Prob. 36, 38, 44. P.74, Prob. 14, 20, 27. P.75, Prob. 35. P.91, Prob. 20, 27. P.91, Prob. 38. 第3週 9/30,10/03 Chapter 1 (Sec 1.2), Chapter 4 (Sec 4.1), Chapter 8 (Sec 8.1). 第4週 10/07,10/10 10/07 is TA session. 10/10 is a holiday. 第5週 10/14,10/17 Chapter 8, Chapter 4 (Sec 4.1 & 4.2). HW No.4, P.44 to P.45, Prob. 20, 28, 31, 37, 44; P.332 to P.333, Prob. 6, 25; P.346, Prob. 6, 11. 第6週 10/21,10/24 10/21 is TA session. Chapter 4. HW No.5 is distributed in the class. 第7週 10/28,10/31 Chapter 4 (except section 4.10). HW No.6, P.127, Prob. 5; P.129, Prob. 39; P.137, Prob. 28; P.138, Prob. 56; P.148, Prob. 35, 43; P.162, Prob. 27, 32; P.184, Prob. 18, 25; P.354 to 355, Prob. 6, 26. 第8週 11/04,11/07 11/04 is TA session. 11/08 (Saturday) midterm date. Contents for Midterm: Chapter 1, 2(except sec. 2.6), Sec. 3.1, Chapter 4 (except Sec. 4.5, 4.7, 4.8, 4.10), Chapter 8. 第9週 11/11,11/14 Chapter 7. Chapter 6. HW No.7, P.280, Prob. 47, 53, 54. P.289, Prob. 42, 44, 46. P.298 to 301, Prob. 32, 42, 69. P. 307 to 310, Prob. 18, 26, 46, 61, 63. 第10週 11/18,11/21 No classes in this week according to Department of Math. policy. 第11週 11/25,11/28 Chapter 6. HW No.8, P.246 to 247, Prob. 2, 16, 25. P.255 to 256, Prob. 9, 24, 32, 33, 35, 36. 第12週 12/02,12/05 12/02 is TA session. Section 6.4. HW No.9, P.267 to 268, Prob. 10, 12, 20, 22(b), 24, 27, 29, 30, 32. 第13週 12/09,12/12 Section 5.2 to 5.3; Chapter 10. 第14週 12/16,12/19 12/16 is TA session. Chapter 10. HW No.10, P.391 to 392, Prob. 6, 16, 25. P.400, Prob. 14, 17, 19, 21, 26. P.408 to 409, Prob. 9, 16, 20, 23, 26, 30, 32, 34, 39. P.415 to 417, Prob. 1, 2, 9, 17, 19, 20, 21. 第15週 12/23,12/26 Chapter 10. 第16週 12/30,1/02 12/30 is TA session. The class at 1/02 is rescheduled to 12/27/2014. Chapter 10. 第17週 1/06,1/09 1/09 is TA review section. 1/10 (Saturday) final date. Contents for Final: Section 5.3, Chapters 6, 7, 10.