NCHU Course Outline
Course Name (中) 工程數學(一)(2339)
(Eng.) Engineering Mathematics (I)
Offering Dept Department of Chemical Engineering
Course Type Required Credits 3 Teacher LIN, CHING HSUAN
Department Department of Chemical Engineering / Undergraduate Language Chinese Semester 2026-FALL
Course Description Ordinary differential equations (ODEs)
Second-order linear ODES
Higher order linear ODES
Series solution of ODEs
Laplace transforms
Fourier analysis
Prerequisites 微積分(一),微積分(二)
Relevance of Course Objectives and Core Learning Outcomes(%) Teaching and Assessment Methods for Course Objectives
Course Objectives Competency Indicators Ratio(%) Teaching Methods Assessment Methods
培養數學能力以解決工程學上遇到的數學問題
1.Solid foundations on fundamental scientific and professional chemical engineering knowledge.
3.Proficiency of analyzing problems and identifying key points with rigorous logic.
4.Courage to confront challenges and initiate discoveries.
5.Philosophy of interdisciplinary study and proactive learning.
30
20
30
20
Lecturing
Exercises
Quiz
Assignment
Course Content and Homework/Schedule/Tests Schedule
Week Course Content
Week 1 Ordinary differential equations (ODEs)
Second-order linear ODES
Higher order linear ODES
Series solution of ODEs
Laplace transforms
Fourier analysis
Week 2 Ordinary differential equations (ODEs)
Week 3 Ordinary differential equations (ODEs)
Week 4 Second-order linear ODES
Week 5 Higher order linear ODES
Week 6 Higher order linear ODES
Week 7 Series solution of ODEs
Week 8 midterm exam
Week 9 Laplace transforms
Week 10 Laplace transforms
Week 11 Laplace transforms
Week 12 midterm exam
Week 13 Fourier analysis
Week 14 Fourier analysis
Week 15 Fourier analysis
Week 16 Fourier analysis final exam Self-directed learning (reading related articles and watching videos)
self-directed
learning

Evaluation
第一次期中考 40%
第二次期中考 30%
期末考 30%
Textbook & other References
Advanced Engineering Mathematics, Erwin Kreyszig, Tenth edition
Teaching Aids & Teacher's Website

Office Hours
星期二上午10點-12點
Please respect the intellectual property rights and use the materials legally.Please respect gender equality.
Update Date, year/month/day:None Printed Date, year/month/day:2026 / 8 / 24
The second-hand book website:http://www.myub.com.tw/