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課程名稱 |
工程數學上
Engineering Mathematics (1) |
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開課學期 |
110-1 |
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授課對象 |
機械工程學系 |
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授課教師 |
林以凡 |
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課號 |
ME2001 |
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課程識別碼 |
502E20001 |
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班次 |
04 |
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學分 |
3.0 |
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全/半年 |
全年 |
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必/選修 |
必修 |
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上課時間 |
星期一3,4(10:20~12:10)星期三2(9:10~10:00) |
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上課地點 |
綜503綜503 |
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備註 |
本課程以英語授課。
總人數上限：55人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1101ME2001_04 |
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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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課程概述 |
This course is designed to engage engineering mathematics needed by scientists and engineers, in a setting helpful to undergraduate students. It consists of many mathematical topics, all of which are related by the expedient of being useful in courses and subsequent careers in science and engineering. |
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課程目標 |
The objective of this course is that by the end of the semester, you will have
• used standard mathematical tools common to engineers;
• solved standard ODEs of interest to materials science;
• analyzed statistical sets of data using standard mathematical concepts;
• solved linear systems using matrices; |
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課程要求 |
None |
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預期每週課後學習時數 |
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Office Hours |
另約時間 備註： By email appointment with ME 2001 in the Subject line. |
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參考書目 |
Dennis G. Zill, Advanced Engineering Mathematics, Jones & Bartlett Learning, 7th Ed, 2017.
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指定閱讀 |
P. V. O’Neil, Advanced Engineering Mathematics, CENGAGE Learning, 8th Ed, 2018. |
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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. |
Quiz |
20% |
There will be a ten-minute quiz in the beginning of each class. In each quiz, you will solve one to two questions chosen from our exercises and sample problems in the textbook. Quizzes are closed-book, closed-note. No electronics, including calculators, cell phones, and smart watches are allowed. Some formulas and tables may be provided. |
2. |
Mid-terms |
50% |
There are two mid-term exams in this course. The mid terms are scheduled on
– Mid-term 1: October 27 in class. – Mid-term 2: December 08 in class.
Mid-terms are closed-book, closed-note. No electronics, including calculators, cell phones, and smart watches are allowed. Mid-terms will be used to access demonstration of the learning objectives and may include the combinations of true & false and work-out problems. Some formulas and tables may be provided. |
3. |
Fianl |
30% |
The date of the final exam will be on January 10. The final is closed-book, closed-note. No electronics, including calculators, cell phones, and smart watches are allowed. The final is cumulative and may include the combinations of true & false and work-out problems. Some formulas and tables may be provided. |
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週次 |
日期 |
單元主題 |
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第1週 |
9/22 |
Introduction |
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第2週 |
9/27,9/29 |
First Order Differential Equations,
Special ODEs, Second Order Differential Equations |
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第3週 |
10/04,10/06 |
Reduction of Order, Euler Equations,
Undetermined Coefficients, Variation of Parameters |
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第4週 |
10/11,10/13 |
Laplace Transform |
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第5週 |
10/18,10/20 |
Laplace Transform |
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第6週 |
10/25,10/27 |
Review,
Midterm I |
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第7週 |
11/01,11/03 |
Series Solutions |
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第8週 |
11/08,11/10 |
Sturm-Liouville BVPs
Vector and Vector Spaces |
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第9週 |
11/15,11/17 |
Vector and Vector Spaces
Matrices |
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第10週 |
11/22,11/24 |
Reduced Form of a Matrix, Ran and Row Space of a Matrix
Nonhomogeneous Systems of Linear Equations |
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第11週 |
11/29,12/01 |
Matrix Inverses, Determinants
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第12週 |
12/06,12/08 |
Review,
Midterm II |
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第13週 |
12/13,12/15 |
Eigenvalues and Eigenvectors
Diagonalization |
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第14週 |
12/20,12/22 |
Orthogonal and Symmetric Matrices |
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第15週 |
12/27,12/29 |
Orthogonal and Symmetric Matrices
Unitary, Hermitian Matrices |
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第16週 |
1/03,1/05 |
Skew-Hermitian matrices, Quadratic Form |
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第17週 |
1/10,1/12 |
Final Exam |
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