課程資訊
課程名稱
 工程數學上
Engineering Mathematics (1) 
開課學期
 107-1 
授課對象
 機械工程學系  
授課教師
 吳文方 
課號
 ME2001 
課程識別碼
 502E20001 
班次
 03 
學分
 3.0 
全/半年
 全年 
必/選修
 必修 
上課時間
 星期一3,4(10:20~12:10)星期三2(9:10~10:00) 
上課地點
 工綜B01工綜211 
備註
 本課程以英語授課。
限本系所學生(含輔系、雙修生)
總人數上限：65人 
Ceiba 課程網頁
 http://ceiba.ntu.edu.tw/1071ME2001_03 
課程簡介影片
 
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課程大綱
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課程概述

數學是研究自然科學的共通語言，本課程介紹機械工程必備的基本數學知識。在上學期的
課程中主要討論三個主題：
(1) 常微分方程：一階、二階常微分方程，拉普拉斯轉換、級數解、數值解
(2) 向量和線性代數?向量空間，矩陣和聯立方程式，行列式，特徵值問題
(3) 常微方方程組?聯立線性常微分方程組。 

課程目標
 (1) 了解常微分方程式的性質和解法
(2) 了解線性空間的基本性質
(3) 了解聯立線性方程式的解法及其特性
(4) 了解特徵值、特徵向量及其應用
(4) 了解常微方方程組的解法及其特性 
課程要求
 (1) 按章節勾習題，習題不必交，但請按進度親自作習題。
(2) 考試務必準時出席，除了不可抗拒因素外，各種考試不予補考。
(3) 請勿干擾上課秩序（例如聊天、上網、吃便當等等）
(4) 請勿選修需要密集野外實習（例如地質調查等）的課程，若因此無法參加考試請自行負責。 
預期每週課後學習時數
  
Office Hours
 另約時間 備註： Any time when I am in my office. 
指定閱讀
  
參考書目
 課本：
Dennis G. Zill, Advanced Engineering Mathematics, sixth ed., Jones & Bartlett Learning, 2017.
參考書：
P.V. O'Neil, Advanced Engineering Mathematics，custom publishing, Cengage Learning
E. Kreyszig, Advanced Engineering Mathematics
G. Strang, Linear Algebra and Its Applications (總圖指訂參考書） 
評量方式
(僅供參考)
    
課程進度
週次
日期
單元主題
Week 1
 9/10,9/12  Course Outline; Chap. 1 Introduction to Differential Equations 
Week 2
 9/17,9/19  Chap. 1 Introduction to Differential Equations; Chap. 2 First-Order Differential Equations (to be continued) 
Week 3
 9/24,9/26  No class on Sep. 24; Chap. 2 First-Order Differential Equations (to be continued) 
Week 4
 10/01,10/03  Chap. 2 First-Order Differential Equations; Chap. 3 Higher-Order Differential Equations (to be continued) 
Week 5
 10/08,10/10  Chap. 3 Higher-Order Differential Equations (to be continued); No class on 10/10 
Week 6
 10/15,10/17  Quiz #1 on 10/15 (Coverage: Chap. 1, Secs. 2.1-2.5 of Chap2; Secs. 3.1, 3.3, and 3.4 of Chap. 3; OR that decided by TA); Chap. 3 Higher-Order Differential Equations  
Week 7
 10/22,10/24  Chap. 4 The Laplace Transform (to be continued) 
Week 8
 10/29,10/31  Chap. 4 The Laplace Transform (to be continued) 
Week 9
 11/05,11/07  Chap. 4 The Laplace Transform; Chap. 5 Series Solutions of Linear Differential Equations (to be continued) 
Week 10
 11/12,11/14  Midterm Exam on 11/12, Coverage: Chap. 1 to Chap. 4; Chap. 5 Series Solutions of Linear Differential Equations (to be continued) 
Week 11
 11/19,11/21  Chap. 5 Series Solutions of Linear Differential Equations; Chap. 7 Vectors (to be continued) 
Week 12
 11/26,11/28  No class on 11/26. Quiz #2 to be held on 11/28 (Wed), Coverage: 7.1~7.6.  
Week 13
 12/03,12/05  Chap. 7 Vectors; Chap. 8 Matrices (to be continued) 
Week 14
 12/10,12/12  Chap. 8 Matrices (to be continued); No classroom meeting on 12/12. 
Week 15
 12/17,12/19  Chap. 8 Matrices (to be continued); No replacement classroom meeting on 12/22 (Sat) 
Week 16
 12/24,12/26  Chap. 8 Matrices (to be continued) 
Week 17
 12/31,1/02  No classroom meeting on 12/31; Chap. 8 Matrices  
Week 18
 1/07  Final Exam on 01/07 (Mon)