NCHU Course Outline
Course Name (中) 工程數學(二)(2325)
(Eng.) Engineering Mathematics (II)
Offering Dept Department of Electrical Engineering
Course Type Required Credits 3 Teacher CHING-CHIH TSAI
Department Department of Electrical Engineering / Undergraduate Language Chinese 英文/EMI Semester 2024-FALL
Course Description 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。
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
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。
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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 (1/2)
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 Exam on 21, October, 2024(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) (24, Nov., 2024) (examination time:2 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 (6, Jan., 2025)(examination time: 3 hours)
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 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
Office Hours
星期一上午10:00-12:00
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Update Date, year/month/day：2024/09/09 08:15:52 Printed Date, year/month/day：2025 / 1 / 03
The second-hand book website：http://www.myub.com.tw/