Course Syllabus

Course Information：

Year-Semester Course Number Course Name Phase Credits Hours Required/Elective Instructor Class Student NO. Withdraw Note

Fall Semester
Year 2025 348212 Engineering Mathematics (I) 1 3.0 3 ▲ Chih-Yu Kuo 4CEB2A 47 0 　

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Fall Semester Year 2025	348212	Engineering Mathematics (I)	1	3.0	3	▲	Chih-Yu Kuo	4CEB2A	47	0

Course Plan：

Instructor Chih-Yu Kuo　Office Hours

Email chihyukuo@ntut.edu.tw

Last Updated 2025-06-27 19:08:54

Course Objective This course introduces students of engineering to those areas of mathematics which are important in connection with practical engineering problems. The material in this course is arranged accordingly in four parts: (1) First-order, second-order, and higher-order differential equations. (2) Series solutions of differential equations and special functions. (3) Laplace transforms.

Course Schedule Week/Topic 1 Review of calculus 2 First-order ODE 3 First-order ODE 4 First-order ODE 5 Second-order ODE 6 Second-order ODE 7 1st Midterm 8 Series solution of ODE 9 Series solution of ODE 10 Series solution of ODE 11 Orthogonal Functions 12 Orthogonal Functions 13 2nd Midterm 14 Laplace transform 15 Laplace transform 16 Laplace transform 17 Laplace transform 18 Final Exam

Evaluation and grading policy 1. In-class participation 15% 2. quizzes 10% total 3. Midterm, final term 25% each 75% total

Materials All right reserved. Do not reproduce without permission.

Foreign-language textbooks:Yes
Kreyszig, E., Advanced Engineering Mathematics, 10th Ed., John Wiley & Sons, Singapore (2018).

The access to curricular consultation Email: chihyukuo@ntut.edu.tw

The course corresponds to the SDGs SDG4：優質教育（Quality Education）
SDG8：尊嚴就業與經濟發展（Decent Work and Economic Growth）
SDG9：產業創新與基礎設施（Industry, Innovation and Infrastructure）
SDG11：永續城市與社區（Sustainable Cities and Communities）

Does the course incorporate AI AI1：使用生成式AI作為教學過程的輔助工具（Use generative AI tools as an aid to the teaching process）

Note
　

Instructor	Chih-Yu Kuo　Office Hours
Email	chihyukuo@ntut.edu.tw
Last Updated	2025-06-27 19:08:54
Course Objective	This course introduces students of engineering to those areas of mathematics which are important in connection with practical engineering problems. The material in this course is arranged accordingly in four parts: (1) First-order, second-order, and higher-order differential equations. (2) Series solutions of differential equations and special functions. (3) Laplace transforms.
Course Schedule	Week/Topic 1 Review of calculus 2 First-order ODE 3 First-order ODE 4 First-order ODE 5 Second-order ODE 6 Second-order ODE 7 1st Midterm 8 Series solution of ODE 9 Series solution of ODE 10 Series solution of ODE 11 Orthogonal Functions 12 Orthogonal Functions 13 2nd Midterm 14 Laplace transform 15 Laplace transform 16 Laplace transform 17 Laplace transform 18 Final Exam
Evaluation and grading policy	1. In-class participation 15% 2. quizzes 10% total 3. Midterm, final term 25% each 75% total
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes Kreyszig, E., Advanced Engineering Mathematics, 10th Ed., John Wiley & Sons, Singapore (2018).
The access to curricular consultation	Email: chihyukuo@ntut.edu.tw
The course corresponds to the SDGs	SDG4：優質教育（Quality Education） SDG8：尊嚴就業與經濟發展（Decent Work and Economic Growth） SDG9：產業創新與基礎設施（Industry, Innovation and Infrastructure） SDG11：永續城市與社區（Sustainable Cities and Communities）
Does the course incorporate AI	AI1：使用生成式AI作為教學過程的輔助工具（Use generative AI tools as an aid to the teaching process）
Note