NCHU Course Outline
Course Name (中) 常微分方程(2353)
(Eng.) Differential Equations
Offering Dept Bachelor Program in Electrical Engineering and Computer Science
Course Type Required Credits 3 Teacher CHING-CHIH TSAI
Department Bachelor Program in Electrical Engineering and Computer Science / Undergraduate Language Chinese 英文/EMI Semester 2024-FALL
Course Description 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，以及高階常微分方程式，常微分方程式系統的一般基礎理論，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，聯立常微分方程式系統解法，級數解法，拉普拉斯解法等最重要求解方法，以及探討傅立葉分析與轉換，及其重要應用案例。
Prerequisites
self-directed learning in the course N
Relevance of Course Objectives and Core Learning Outcomes(%) Teaching and Assessment Methods for Course Objectives
Course Objectives Competency Indicators Ratio(%) Teaching Methods Assessment Methods
學習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，聯立微分方程系統，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。
Networking / Distance Education
Exercises
Discussion
Other
Lecturing
Attendance
Assignment
Quiz
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Course Content and Homework/Schedule/Tests Schedule
Week Course Content
Week 1 【 內容綱目 】
(1) Introduction :problem formulations, modeling and Examples )
(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 (1/2)
Week 4 Second-Order ODEs (2/2)
Week 5 High Order ODEs (1/2)
Week 6 High Order ODEs (2/2)
Week 7 (1)First Examination (examination time: 2 hours)
(2)Systems of ODEs (1/3)
Week 8 Systems of ODEs (2/3)
Week 9 Systems of ODEs (3/3)
Week 10 Series Solutions of ODEs(1/2)
Week 11 Series Solutions of ODEs(2/2)
Week 12 Second Examination (2022/11/21) (examination time: 3 hours)
Week 13 Laplace Transform and its applications to ODEs (1/3)
Week 14 Laplace Transform and its applications to ODEs (2/3)
Week 15 Laplace Transform and its applications to ODEs (3/3)
Week 16 Fourier Analysis and Transforms (1/2)
Week 17 Fourier Analysis and Transforms (2/2)
Week 18 Third Examination (2025/1/6) (examination time: 3 hours)
Evaluation
【 評分方式 】
(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 5%(額外加分)
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 or LINE group)
(2) D. G. Zill and W. S. Wright, Differential Equations with Boundary-Value Problems, 8th Edition, Brooks/Cole Cengage Learning, 2018.
(3) P. V. O’Neil, Advanced Engineering Mathematics , 7th Edition, Thomson Learning, Inc, 2007.
Teaching Aids & Teacher's Website
See http://aecl.ee.nchu.edu.tw or LINE Group
Office Hours
星期一上午10:00-12:00
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Update Date, year/month/day：2024/09/09 08:13:04 Printed Date, year/month/day：2025 / 1 / 03
The second-hand book website：http://www.myub.com.tw/