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課程名稱 |
工程數學上
Engineering Mathematics (1) |
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開課學期 |
114-1 |
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授課對象 |
智慧工程科技全英語學士學位學程 |
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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 |
機皮教室機皮教室 |
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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 |
Student's feedback: http://www.me.ntu.edu.tw/epaper/20240331/News_Photo_Content_n_44369_s_233307.html |
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預期每週課前或/與課後學習時數 |
before: 2 hrs
after: 3 hrs |
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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. Your team has to upload the ”Drills” to google drive. Points may be deducted for not following the file name rule. In this way, each team can look at what other teams do in the drills. If most of the teams cannot do a specific question from the drills, the instructor will explain it in class. This can save a lot of time and you will learn the materials effectively. Also, the purpose of having a team in class is to help each other. Through the discussion in and out of class, all of the members make progress. 3% will be peer evaluation at the end of the semester. |
2. |
Individual Quiz |
10% |
There will be a ten-minute quiz from 9 am to 9:20 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 and closed-note. No electronics, including calculators, cell phones, or smart watches are allowed. Some formulas and tables may be provided. |
3. |
Relay Quiz |
15% |
There are three relay quizzes before each midterm and final. The relay quizzes are scheduled on
– Relay Quiz 1: October 01 from 9 am to 9:30 am.
– Relay Quiz 2: November 05 from 9 am to 9:30 am. – Relay Quiz 3: December 10 from 9 am to 9:30 am.
Each member is limited to 5 minutes to write the answer. They must continue from where the previous member left off, and only the current member may write, though teammates may assist through discussion. |
4. |
Homework Presentation |
5% |
The presentation is scheduled on December 17. Each team will have 5 minutes to present ONE application of what you have learned on the topic. |
5. |
Midterms |
40% |
There are two mid-term exams in this course. The mid terms are scheduled on
– Mid-term 1: October 08 in class.
– Mid-term 2: November 12 in class.
Mid-terms are closed-book and closed-notes. No electronics, including calculators, cell phones, or smart watches are allowed. Mid-terms will be used to assess demonstration of the learning objectives and may include the combinations of true & false and work-out problems. Some formulas and tables may be provided. |
6. |
Final exam |
20% |
The date of the final exam will be on December 15. The final is closed-book and 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 |
09/01, 09/03 |
First Order Differential Equations |
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第2週 |
09/08, 09/10 |
Special ODEs, Second Order Differential Equations, Reduction of Order, Euler Equations |
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第3週 |
09/15, 09/17 |
Higher Order Differential Equations, Undetermined Coefficients, Variation of Parameters |
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第4週 |
09/22, 09/24 |
Laplace Transform |
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第5週 |
09/29, 10/01 |
Teacher's Day (09/29), Review |
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第6週 |
10/06, 10/08 |
Moon Fest (10/06)
Midterm I (10/08) |
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第7週 |
10/13, 10/15 |
Series Solutions |
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第8週 |
10/20, 10/22 |
Vector and Vector Spaces |
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第9週 |
10/27, 10/29 |
Matrices, Reduced Form of a Matrix, Rank and Row Space of a Matrix |
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第10週 |
11/03, 11/05 |
Nonhomogeneous Systems of Linear Equations, Matrix Inverses, Determinants |
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第11週 |
11/10, 11/12 |
Determinants, Midterm II (11/12) |
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第12週 |
11/17, 11/19 |
Eigenvalues and Eigenvectors |
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第13週 |
11/24, 11/26 |
Powers pf Matrices, Diagonalization, Orthogonal and Symmetric Matrices |
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第14週 |
12/01, 12/03 |
System of Linear DE, Homogeneous Linear System with Constant Coefficient |
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第15週 |
12/08, 12/10 |
Solution in Exponential Matrix Form, Solutions to Nonhomogeneous System |
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第16週 |
12/15, 12/17 |
Final Exam (12/15)
Homework presentation (12/17) |
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