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課程名稱 |
工程數學上
Engineering Mathematics (1) |
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開課學期 |
112-1 |
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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502綜502 |
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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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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 |
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預期每週課前或/與課後學習時數 |
3-4 |
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Office Hours |
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指定閱讀 |
P. V. O’Neil, Advanced Engineering Mathematics, CENGAGE Learning, 8th Ed, 2018. |
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參考書目 |
Dennis G. Zill, Advanced Engineering Mathematics, Jones & Bartlett Learning, 7th Ed, 2017. |
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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. |
Team Collaboration |
10% |
Form a MIXED cultural team of at most 4 people. There must be at least one Taiwanese student in the group. On this ”international team,” you need to work together in class to solve the drills and may have a chance to demonstrate your work to other teams in class. Also, the purpose of having a team in the class is to help each other. Through the discussion in and out of class, all of the members make progress. |
2. |
Quiz |
15% |
There will be a ten-minute quiz from 9 am to 9:10 am on every Wednesday. On 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, or smart watches are allowed. Some formulas and tables may be provided. |
3. |
Tam Homework |
15% |
There will be four team homework assignments in this course. Each team will submit the homework on each topic. The homework is to find at least three applications of what you have learned on each topic. |
4. |
Midterms |
40% |
(20% each). There are two mid-term exams in this course. The mid terms are scheduled on
– Mid-term 1: October 11 in class.
– Mid-term 2: November 22 in class.
Mid-terms are closed-book, closed-notes. No electronics, including calculators, cell phones, or 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. |
5. |
Final Exam |
20% |
The date of the final exam will be on December 18. The final is closed-book, closed-notes. No electronics, including calculators, cell phones, or 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. |
- 本校建議 A+ 比例上限為 20% ，非強制規定，授課教師可依課程要求調整，建議必修課程參考。
- 本校採用等第制評定成績，學生成績評量辦法中的百分制分數區間與單科成績對照表僅供參考，授課教師可依等第定義調整分數區間。詳見學習評量專區 (連結)。
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週次 |
日期 |
單元主題 |
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第1週 |
09/04, 09/06 |
First Order Differential Equations |
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第2週 |
09/11, 09/13 |
Special ODEs, Second Order Differential Equations, Reduction of Order, Euler Equations |
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第3週 |
09/18, 09/20 |
Undetermined Coefficients, Variation of Parameters, Higher OrderDE |
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第4週 |
09/25, 09/27 |
Laplace Transform |
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第5週 |
10/02, 10/04 |
Laplace Transform |
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第6週 |
10/09, 10/11 |
Midterm I |
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第7週 |
10/16, 10/18 |
Series Solutions |
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第8週 |
10/23, 10/25 |
Vector and Vector Spaces |
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第9週 |
10/30, 11/01 |
Matrices, Reduced Form of a Matrix, Ran and Row Space of a Matrix |
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第10週 |
11/06, 11/08 |
Nonhomogeneous Systems of Linear Equations, Matrix Inverses, Determinants |
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第11週 |
11/13, 11/15 |
Determinants |
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第12週 |
11/20, 11/22 |
Eigenvalues and Eigenvectors, Midterm II |
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第13週 |
11/27, 11/29 |
Power of Matrices, Diagonalization, Orthogonal and Symmetric Matrices |
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第14週 |
12/04, 12/06 |
Systems of Linear DE, Homogeneous Linear System with Constant Coefficient |
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第15週 |
12/11, 12/13 |
Solution in Exponential Matrix Form, Solutions to Nonhomogeneous System |
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第16週 |
12/18, 12/20 |
Final Exam |
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