課程名稱 
工程數學上 Engineering Mathematics (1) 
開課學期 
1111 
授課對象 
機械工程學系 
授課教師 
林以凡 
課號 
ME2001 
課程識別碼 
502E20001 
班次 
04 
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 
綜502綜502 
備註 
本課程以英語授課。 總人數上限：55人 


課程簡介影片 

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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. 
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; 
課程要求 

預期每週課後學習時數 

Office Hours 

參考書目 
Dennis G. Zill, Advanced Engineering Mathematics, Jones & Bartlett Learning, 7th Ed, 2017. 
指定閱讀 
P. V. O’Neil, Advanced Engineering Mathematics, CENGAGE Learning, 8th Ed, 2018. 
評量方式 (僅供參考) 
No. 
項目 
百分比 
說明 
1. 
Class Participation 
10% 
Attend the class and have discussions with your classmates/group for some class exercises. Also be active in class by asking questions, solving the class exercises on the blackboard. Students are also encouraged to share what they have learned by the previous classes. 
2. 
Quiz 
20% 
There will be tenminute quiz from 9 am to 9:10 am on every Wednesday. In each quiz, you will solve one to two questions chosen from our exercises and sample problems in the textbook. Quizzes are closedbook, closednote. No electronics, including calculators, cell phones, and smart watches are allowed. Some formulas and tables may be provided. 
3. 
Midterm 
40% 
(20% each). There are two midterm exams in this course. The mid terms are scheduled on
– Midterm 1: October 12 in class.
– Midterm 2: November 23 in class.
Midterms are closedbook, closednotes. No electronics, including calculators, cell phones, or smart watches are allowed. Midterms will be used to access demonstration of the learning objectives and may include the combinations of true & false and workout problems. Some formulas and tables may be provided. 
4. 
Fianl 
30% 
The date of the final exam will be on December 19. The final is closedbook, 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 workout problems. Some formulas and tables may be provided. 

週次 
日期 
單元主題 
第1週 
09/05, 09/07 
First Order Differential Equation 
第2週 
09/12, 09/14 
Special ODEs, Second Order Differential Equations, Reduction of Order, Euler Equations 
第3週 
09/19, 09/21 
Undetermined Coefficients, variation of Parameters, Higher Order ODEs 
第4週 
09/26, 09/28 
Laplace Transform 
第5週 
10/02, 10/04 
Laplace Transform 
第6週 
10/10, 10/12 
Midterm I 
第7週 
10/17, 10/19 
Series Solutions 
第8週 
10/24, 10/26 
Vector and Vector Spaces 
第9週 
10/31, 11/02 
Matrices, Reduced Form of a Matrix, Rank, and Row Space of a Matrix 
第10週 
11/07, 11/09 
Nonhomogeneous Systems of LinearEquations, Matrix Inverses, Determinants 
第11週 
11/14, 11/16 
Determinant 
第12週 
11/21, 11/23 
Midterm II 
第13週 
11/28, 11/30 
Eigenvalues and Eigenvectors. Power of Matrices, Diagonalization 
第14週 
12/05, 12/07 
Orthogonal and Symmetric Matrices, Systems of Linear DE 
第15週 
12/12, 12/14 
Homogeneous Linear System with Constant Coefficient, Solution in Exponential Matrix Form, Solutions to Nonhomogeneous System 
第16週 
12/19, 12/21 
Final Exam 
