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課程名稱 |
工程數學-微分方程
Engineering Mathematics-differential Equation |
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開課學期 |
105-1 |
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授課對象 |
電機工程學系 |
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授課教師 |
黃天偉 |
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課號 |
EE2002 |
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課程識別碼 |
901 10020 |
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班次 |
01 |
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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 |
星期三3,4(10:20~12:10)星期五2(9:10~10:00) |
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上課地點 |
電二106電二106 |
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備註 |
本系優先
總人數上限：70人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1051EE2002_01 |
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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 |
一、 The course, Differential Equations, is a fundamental mathematics for the students in the EE department. Based on the concepts of Logics and Sets, the derivations of both the differential equation itself and the associated solution set (especially the singular solution) are discussed. Not only the solution methods but also the mathematic concepts are emphasized. The students are suggested to follow the schedule in time, otherwise will be lost in the course. The course will be taught according to the Lecturer’s notebook. The students had better review it after each course in order catch up with the schedule. The EE assigned textbook is a reference. Both of the contents are consistent and listed as follows.
1、First order differential equations
2、Differential equations of higher order
3、Laplace transform
4、Series solutions of linear equations
5、Systems of differential equations
6、Fourier series and boundary-value problems
7、Numerical analysis |
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課程目標 |
1. Lecture: Ipad Pro + GoodNote 4 pdf (all in-class teaching note will be on-line available)
2. Youtube Recording: QuickTime Player screen recording (all in-class teaching screen video)
3. On-line 抓寶 in-class bonus points (Right: 5 points, Wrong: 3 point, No vote: 0 points)
4. On-line 闖關解題(三人小組)
5. On-line e-file homework turn-in |
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課程要求 |
1.Grading Standards
Homework 15%
Midterm 42.5%
Final 42.5%
2.Preliminary Course: 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 |
待補 |
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參考書目 |
教科書： 1. The Lecturer’s notebook: the PDF file can be downloaded.
2. Differential Equations with Boundary-Value Problems by Dennis G. Zill and Michael R. Cullen |
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評量方式
(僅供參考) |
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週次 |
日期 |
單元主題 |
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第1週 |
9/14,9/16 |
Chap 1 (微方懶人包＿第一講） |
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第2週 |
9/21,9/23 |
Chap 2 (微方懶人包＿第二講; 解題步驟與應用練習; iPhone 7 與 TSMC) |
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第3週 |
9/28,9/30 |
Chap 3 微方懶人包＿線性vs.非線性 英文應用題之數學解釋 |
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第4週 |
10/05,10/07 |
Chap 2.4 正合(Exact) 2.5 Bernoulli 解題步驟 |
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第5週 |
10/12,10/14 |
Chap 4.1-4.3 Linear Higher Order DE (對數-->代數方程） |
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第6週 |
10/19,10/21 |
Chap 4.4-4.6 Non-homogeneous Higher-order DE |
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第7週 |
10/26,10/28 |
Chap 4.7,4.9,4.10 Nonlinear高階微方 (Chap 4 解法總結） |
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第8週 |
11/02,11/04 |
Chap 5.1, 5.3 高階微方的應用 |
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第9週 |
11/09,11/11 |
期中考11/9(三）2-2 ~ 2-5，共4節, 3-1 ~ 3-2，共2節, 4-1 ~ 4-7, 4-9, 4-10，共9節, 5-1, 5-3，共2節 |
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第10週 |
11/16,11/18 |
chap 6.1-6.3 無窮級數（指數解） |
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第11週 |
11/23,11/25 |
Chap 7 Laplace Transform ( 對數積分） |
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第12週 |
11/30,12/02 |
11/30 10:20-12:00 小考6.1, 6.2, 6.3 and Chap 7.1-7.6
12/02 Chap 6/7解題練習 |
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第13週 |
12/07,12/09 |
Chap 11 Fourier Series |
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第14週 |
12/14,12/16 |
Chap 12 偏微分方程 Boundary-Value Problem |
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第15週 |
12/21,12/23 |
Chap 12.4-12.5 |
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第16週 |
12/28,12/30 |
Chap 14.3 + 14.4 |
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第17週 |
1/04,1/06 |
期末考複習：Sections 6-1~6-3（三節）Sections 7-1~7-6（六節）Sections 11-1~11-3（三節）Sections 12-1, 12-2, 12-4, 12-5（四節）Sections 14-3, 14-4（二節） |
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