課程名稱 |
工程數學上 Engineering Mathematics (1) |
開課學期 |
109-1 |
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 |
502 20001 |
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211工綜211 |
備註 |
限本系所學生(含輔系、雙修生) 總人數上限:55人 |
Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1091ME2001_03 |
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 |
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: Come to Rm. 517 or 107-1 anytime. |
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) |
|
週次 |
日期 |
單元主題 |
Week 1 |
9/14,9/16 |
Course Outline; What is a linear ordinary differential equation with constant coefficients? How to solve it? |
Week 2 |
9/21,9/23 |
How to solve a linear ODE with constant coefficients? (Secs. 3.3 & 3.4); Chap. 1 Introduction to Differential Equations; Chap. 2 First-Order Differential Equations (to be continued) |
Week 3 |
9/28,9/30 |
Chap. 2 First-Order Differential Equations |
Week 4 |
10/05,10/07 |
Chap. 3 Higher-Order Differential Equations (to be continued) |
Week 5 |
10/12,10/14 |
Chap. 3 Higher-Order Differential Equations |
Week 6 |
10/19,10/21 |
Quiz #1 on 10/19 (Coverage: Chaps. 2 & 3); Chap. 4 The Laplace Transform (to be continued) |
Week 7 |
10/26,10/28 |
Chap. 4 The Laplace Transform (to be continued) |
Week 8 |
11/02,11/04 |
Chap. 4 The Laplace Transform (to be continued) |
Week 9 |
11/09,11/11 |
Chap. 4 The Laplace Transform; Chap. 5 Series Solutions of Linear Differential Equations (to be continued) |
Week 10 |
11/16,11/18 |
Quiz #2 on 11/16 (Coverage: Chap. 4); Chap. 5 Series Solutions of Linear Differential Equations |
Week 11 |
11/23,11/25 |
Midterm Exam on 11/23 (Coverage: Chaps. 1-5); Chap. 7 Vectors(to be continued) |
Week 12 |
11/30,12/02 |
Chap. 7 Vectors; Chap. 8 Matrices (to be continued) |
Week 13 |
12/07,12/09 |
Chap. 8 Matrices (to be continued) |
Week 14 |
12/14,12/16 |
Chap. 8 Matrices (to be continued) |
Week 15 |
12/21,12/23 |
Chap. 8 Matrices |
Week 16 |
12/28,12/30 |
Chap. 10 Systems of Linear Differential Equations (to be continued) |
Week 17 |
1/04,1/06 |
Chap. 10 Systems of Linear Differential Equations; Quiz #3 on 01/06 (Coverage: Chaps. 7 & 8); |
Week 18 |
1/11 |
Final Exam (Coverage: Chaps. 7, 8 & 10) |
|