NCHU Course Outline
Course Name (中) 工程數學(二)(2326)
(Eng.) Engineering Mathematics (II)
Offering Dept Department of Electrical Engineering
Course Type Required Credits 3 Teacher CHING-CHIH TSAI
Department Bachelor Program in Electrical Engineering and Computer Science/Undergraduate Language English Semester 2025-FALL
Course Description 學習常微分方程式的基礎理論，最重要求解方法及其應用。Learn the basic theory and solutions of ordinary differential equations, with the most emphasis on the most useful solution methods and their applications.
Prerequisites
self-directed learning in the course Y
Relevance of Course Objectives and Core Learning Outcomes(%) Teaching and Assessment Methods for Course Objectives
Course Objectives Competency Indicators Ratio(%) Teaching Methods Assessment Methods
建立常微分方程式的基礎理論，最重要求解方法，數值解法及其應用。學習一階，二階，高階常微分方程式與聯立微分方程系統的基礎理論，學習積分因子，分離變數法，恰當微分方程，齊次與非齊次解法，聯立微分方程解法，級數解法，拉普拉斯解法等最重要求解方法，探討傅立葉分析與轉換，及其重要應用案例。
Study the basic theory of ordinary differential equations, the most important solution methods, numerical solutions and their applications. Learn the basic theory of first-order, second-order, and higher-order ordinary differential equations and systems of simultaneous differential equations, and study the most important solution methods such as integral factors, separation of variables, appropriate differential equations, homogeneous and non-homogeneous solutions, solutions to simultaneous differential equations, series solutions, Laplace solutions and their applications. Finally, we learn explore Fourier analysis and transformation, and its important application cases.
Lecturing
Other
Exercises
Networking/Distance Education
Discussion
Assignment
Attendance
Other
Quiz
Course Content and Homework/Schedule/Tests Schedule
Week Course Content
Week 1 (1) Introduction :problem formulations, modeling and Examples (9/9)
(2) First-Order ordinary differential equations (ODEs) (1/3)
Week 2 First-Order ordinary differential equations (ODEs) (2/3)
Week 3 (1)First-Order ordinary differential equations (ODEs) (3/3)
(2)Second-Order ODEs (1/3)
Week 4 Second-Order ODEs (2/3)
Week 5 Second-Order ODEs (3/3)
Week 6 High Order ODEs (1/1)
Week 7 First Exam (examination time:2 hours)
TAs will attend this exam. Systems of ODEs (1/2)
Week 8 Systems of ODEs (2/2)
Week 9 Series Solutions of ODEs(1/2)
Week 10 Series Solutions of ODEs(1/2)
Week 11 Second Examination) (24, Nov., 2024) (examination time:2 hours)
Laplace Transform and its applications to ODEs (1/3)
Week 12 Laplace Transform and its applications to ODEs (2/3)
Week 13 Laplace Transform and its applications to ODEs (3/3)
Week 14 Fourier Analysis and Transforms (1/2)
Week 15 Fourier Analysis and Transforms (2/2)
Week 16

Third Examination (examination time: 2 hours)
self-directed
learning		    02.Viewing multimedia materials related to industry and academia.
   03.Preparing presentations or reports related to industry and academia.
Evaluation
(1) 作業 10%
(2) 第一次考試 30%
(3) 第二次考試 30%
(4) 第三次考試 30%
(5) 點名與課堂表現 平時成績加分5%
Textbook & other References
【 教科書 】
E. Kreyszig, Advanced Engineering Mathematics, 10th Edition Update, John Wiely, 2018
【 參考書籍 】
(1) 講義 (Handouts) in 2021(See http://aecl.ee.nchu.edu.tw 或LINE群組)
(2) D. G. Zill , Differential Equations with Boundary-Value Problems, 9th Edition, Brooks/Cole Cengage Learning, 2018.
(3) P. V. O’Neil, Advanced Engineering Mathematics , 7th Edition, Thomson Learning, Inc, 2007.
(4)W. C. Boyce, R. C. Diprima, and D. B. Meade, Elementary Differential Equations and Boundary Value Problems,7th Edition, Wiley, 2017
Teaching Aids & Teacher's Website
http://aecl.ee.nchu.edu.tw 或使用LINE 群組通信 (use LINE social media)
Office Hours
星期一上午10:00-12:00
Sustainable Development Goals, SDGs(Link URL)
04.Quality Education   05.Gender Equality   07.Affordable and Clean Energy   08.Decent Work and Economic Growth   09.Industry, Innovation and Infrastructure   11.Sustainable Cities and Communities   17.Partnerships for the Goalsinclude experience courses：Y
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Update Date, year/month/day：2025/06/21 07:27:41 Printed Date, year/month/day：2025 / 11 / 09
The second-hand book website：http://www.myub.com.tw/