NCHU Course Outline
Course Name (中) 工程數學(三)(3208)
(Eng.) Engineering Mathematics (III)
Offering Dept Department of Soil and Water Conservation
Course Type Elective Credits 3 Teacher WANG YUNG CHIEN
Department Department of Environmental Engineering / Undergraduate Language Chinese Semester 2025-FALL
Course Description 本課程延續工程數學(一)與(二)之範疇，繼續介紹工程數學之內容，分為 (1) 傅立葉級數、積分和轉換；(2) 偏微分方程式；(3) 複數等三大主題，講解其基礎理論、數學運算技巧及在實驗物理問題上之應用。培養學生將數學運算技巧應用於問題求解之能力，使學生瞭解工程數學之基本知識與運用範圍。
This course consists three major subjects: (1) Fourier Series, Integrals, and Transforms; (2) Partial differential equations (PDEs); (3) Complex variable. In all of the three subjects, their basic concepts, mathematical calculation/deriving operations, and the applications to physical problems are introduced for enhancing students’ mathematical operation ability, as well as their understanding of basic knowledge and applying scopes of mathematical engineering.
Prerequisites
Relevance of Course Objectives and Core Learning Outcomes(%) Teaching and Assessment Methods for Course Objectives
Course Objectives Competency Indicators Ratio(%) Teaching Methods Assessment Methods
1.延續工程數學(一)與(二)之教學內容，加強學生數學理運算能力，並使學生更深入瞭解工程數學之基本知識與運用範圍。
1.Fundamental knowledge of Physics, Chemistry, Mathematics and Biology.
100
Lecturing
Exercises
Assignment
Quiz
Course Content and Homework/Schedule/Tests Schedule
Week Course Content
Week 1 Course introduction
Fourier series I
Week 2 Fourier series II
Week 3 Fourier integrals I
Week 4 Fourier integrals II
Week 5 Fourier transforms
Week 6 第一次考試
Week 7 Basic concepts of PDEs、1-D Wave Equation
Week 8 1-D Heat Equation
Week 9 2-D Wave Equation
Week 10 Modeling Circular Membranes
Week 11 第二次考試
Week 12 Complex numbers、Complex functions
Week 13 Complex differentiation
Week 14 Complex integration I
Week 15 Complex integration II
Week 16 第三次考試
self-directed
learning		    02.Viewing multimedia materials related to industry and academia.
Evaluation
出席
作業
考試
Textbook & other References
教科書：
Advanced Engineering Mathematics, 2007 or later, by Erwin Kreyszig, Wiley, John Wiley & Sons, Inc.
Teaching Aids & Teacher's Website
請由i-Learning3.0平台下載上課講義與作業資訊
Office Hours
課後提問或與老師約時間
Sustainable Development Goals, SDGs(Link URL)
04.Quality Educationinclude experience courses：N
Please respect the intellectual property rights and use the materials legally.Please respect gender equality.
Update Date, year/month/day：2025/10/01 16:11:31 Printed Date, year/month/day：2026 / 4 / 29
The second-hand book website：http://www.myub.com.tw/