NCHU Course Outline
Course Name (中) 工程數學(四)(2400)
(Eng.) Engineering Mathematics (IV)
Offering Dept Department of Electrical Engineering
Course Type Required Credits 3 Teacher Tsai, Wan-Shao
Department Department of Electrical Engineering / Undergraduate Language Chinese 英文/EMI Semester 2025-SPRING
Course Description 本課程為進階的工程數學,內容包含三大主題:
1.向量分析(Vector Analysis) – 為大一「微積分」與「線性代數」的延伸;
2.偏微分方程(Partial Differential Equations) – 為「常微分方程」概念的延伸;
3.複變函數(Complex Variables) – 為「拉式轉換」與「傅立葉轉換」的延伸。
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
使學生瞭解如何使用數學語言精確地描述物理現象,熟練各種與時間和空間變數有關的數學運算來求解工程應用問題。
Exercises
Discussion
Lecturing
Attendance
Assignment
Quiz
Other
Course Content and Homework/Schedule/Tests Schedule
Week Course Content
Week 1 Course Info Intro, Review on Linear Algebra and Eigen-Value Problem, HW#1
Week 2 Vector Differential Calculus
Week 3 Vector Differential Calculus, HW#2
Week 4 Vector Differential Calculus, HW#3
Week 5 Vector Integral Calculus, HW#4
Week 6 Vector Integral Calculus, HW#5
Week 7 校慶及運動會補假
Week 8 期中考試 Midterm Exam
Week 9 Fourier Series, Review on ODE, HW#6
Week 10 Fourier Integral
Week 11 Fourier Transform, HW#7
Week 12 Partial Differential Equations
Week 13 Partial Differential Equations, HW#8
Week 14 Review on Laplace, Partial Differential Equations, HW#9
Week 15 Complex Analysis, HW#10
Week 16 學期考試 Final Exam
Week 17 彈性教學 - Self-study in reviewing problems (習題複習與自主學習)
Week 18 彈性教學 - Self-study in reviewing problems (習題複習與自主學習)
Evaluation
1. 出席率 10%
2. 作業 20%
3. 期中考試 35%
4. 期末考試 35%
Textbook & other References
教科書:“Advanced Engineering Mathematics (10th Edition)”, E. Kreyszig, John Wiley & Sons, Inc. (2015) 歐亞書局代理
Teaching Aids & Teacher's Website
iLearning
Office Hours
以email預約
Sustainable Development Goals, SDGs(Link URL)
include experience courses:N
Please respect the intellectual property rights and use the materials legally.Please respect gender equality.
Update Date, year/month/day:2025/01/09 14:25:05 Printed Date, year/month/day:2025 / 5 / 09
The second-hand book website:http://www.myub.com.tw/