課程名稱 
工程數學一 Engineering Mathematics (Ⅰ) 
開課學期 
1111 
授課對象 
化學工程學系 
授課教師 
林立強 
課號 
ChemE2007 
課程識別碼 
504E27110 
班次 
02 
學分 
3.0 
全/半年 
半年 
必/選修 
必修 
上課時間 
星期三2(9:10~10:00)星期五3,4(10:20~12:10) 
上課地點 
綜604綜604 
備註 
本課程以英語授課。本系同學儘量在初選階段選定本課程。 限本系所學生(含輔系、雙修生) 總人數上限：40人 


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課程概述 
This course is one of the key core courses in the chemical engineering discipline for undergraduate students, and this class is aimed to equip students with the muchneeded mathematic knowledge and skills to approach a variety of engineering problems. The main topics that will be covered in this course are differential equations (1st order, 2nd order, higher orders, systems of ODEs, as well as series solutions and some special functions) and Laplace transforms. 
課程目標 
The objective of this course is to equip students with fundamental mathematic skills to solve engineering problems. In this course, the primary focuses are on the differential equations and Laplace transforms. Vector analysis will also be covered.
The breakdowns of the course content are as the followings:
1. Firstorder ODEs
2. Secondorder (& higherorder) linear ODEs
3. Series solution of ODEs and special functions
4. Laplace transforms
5. Numerical methods for ODEs (if time permits)
With the course, students will have the core ability to solve differential equations and to perform Laplace transform for engineering problems, particularly with a focus on chemical engineering related ones. 
課程要求 

預期每週課後學習時數 

Office Hours 
每週二 12:30~14:30 備註： There are no fixed TA office hours; appointment only. Please email our TA, MingYen Tsai, to schedule a time if you have questions that would like to discuss with him. 
指定閱讀 
Advanced Engineering Mathematics, 10th Edition, Erwin Kreyszig, John Wiley & Sons, Inc. 
參考書目 

評量方式 (僅供參考) 
No. 
項目 
百分比 
說明 
1. 
Homework assignment 
20% 
Homework will be typically assigned on a biweekly basis and must be submitted electronically (in pdf) by 6:00 PM on the due date. Homework that is turned in late will NOT be accepted (i.e., no credits). A total of approximately 7 assignments are planned for the semester, and each account for 3%, except for the 1st one being 2%, of the total grade of the course. *Make sure your submitted homework is clear and easy to read*
* To reflect the “weight” difference between HW1 and HW27, the total scores of HW1 and HW27 are set to be 100 pts and 150 pts, respectively. 
2. 
Midterm I 
25% 
The exam time will be 1 hour and 50 mins. The exam will be held on Friday (10/14, tentatively) from 10:20am (10 mins before the regular class time) to 12:10am. This exam is closed book and closed note. 
3. 
Midterm II 
25% 
The exam time will be 1 hour and 50 mins. The exam will be held on Friday (11/18, tentatively) from 10:20am (10 mins before the regular class time) to 12:10am. This exam is closed book and closed note. 
4. 
Final exam 
30% 
The exam time will be 2 hours. The exam will be held on Friday (12/23, tentatively) from 10:10am (10 mins before the regular class time) to 12:10am. This exam is cumulative and is closed book and closed note. 

