Course Syllabus

Course Information：

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

Fall Semester
Year 2026 362284 Engineering Mathematics (I) 1 3.0 3 ▲ Hung Ying Chieh 4CEB2B 38 0 　

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Fall Semester Year 2026	362284	Engineering Mathematics (I)	1	3.0	3	▲	Hung Ying Chieh	4CEB2B	38	0

Course Plan：

Instructor Hung Ying Chieh　Office Hours

Email hungyc@ntut.edu.tw

Last Updated 2026-06-06 13:57:25

Course Objective 本課程介紹用於解析實際工程問題所需之相關數學方法 , 其內容包含:(1)一階二階及高階常微分方程 , (2)聯立常微分方程 , (3)常微分方程之冪級數解 , (4)拉普拉斯轉換.本課程介紹用於解析實際工程問題所需之相關數學方法 , 其內容包含:(1)一階二階及高階常微分方程 , (2)聯立常微分方程 , (3)常微分方程之冪級數解 , (4)拉普拉斯轉換.　　 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 arrange accordingly in four parts: (1) Fist-order, second-order and higher order differential equations. (2) Systems of differential equations. (3) Series solutions of differential equations and special function. (4) Laplace transforms.

Course Schedule 第一週一階常微分方程(first order ordinary differential equation)-I 第二週一階常微分方程(first order ordinary differential equation)-II 第三週一階常微分方程(first order ordinary differential equation)-III 第四週二階及高階常微分方程(second order ordinary differential equation)-I 第五週二階及高階常微分方程(second order ordinary differential equation)-II 第六週聯立常微分方程(System ODE)-I 第七週聯立常微分方程(System ODE)-II 第八週聯立常微分方程(System ODE)-III 第九週期中考週- (Midterm)暫停一次第十週常微分方程之冪級數解 (ode series solution) 第十一週常微分方程之冪級數解 (ode series solution) 第十二週常微分方程之冪級數解 (ode series solution) 第十三週拉普拉斯轉換 (Laplace transform) 第十四週拉普拉斯轉換 (Laplace transform) 第十五週拉普拉斯轉換 (Laplace transform) 第十六週期末考試 (Final exam) 第十七週期末考試公告與查詢

Evaluation and grading policy Attendance(quiz) : 30% Two exams: 35% + 35%

Materials All right reserved. Do not reproduce without permission.

Foreign-language textbooks:Yes
1. 工程數學 (Advanced Engineering Mathematics, Peter V. O’Neil, 8th edition) 中文版 2. 工程數學 (Advanced Engineering Mathematics, Peter V. O’Neil, 8th edition)

The access to curricular consultation 請於office hour至辦公室, 以及詢問助教

Expanding teaching and resources ● 混成學習 (Blended Learning)
課程結合實體授課與線上學習（同步視訊／非同步活動）。
Combines face-to-face instruction with online learning (including synchronous video sessions or asynchronous activities).

The course corresponds to the SDGs SDG1：消除貧窮（No Poverty）
SDG3：良好健康和福祉（Good Health and Well-being）
SDG4：優質教育（Quality Education）
SDG9：產業創新與基礎設施（Industry, Innovation and Infrastructure）
SDG10：減少不平等（Reduced Inequalities）

Does the course incorporate AI ● 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）
● 鼓勵學生使用生成式AI工具（Encourage students to use generative AI tools）

Note
Email: hungyc@ntut.edu.tw

Instructor	Hung Ying Chieh　Office Hours
Email	hungyc@ntut.edu.tw
Last Updated	2026-06-06 13:57:25
Course Objective	本課程介紹用於解析實際工程問題所需之相關數學方法 , 其內容包含:(1)一階二階及高階常微分方程 , (2)聯立常微分方程 , (3)常微分方程之冪級數解 , (4)拉普拉斯轉換.本課程介紹用於解析實際工程問題所需之相關數學方法 , 其內容包含:(1)一階二階及高階常微分方程 , (2)聯立常微分方程 , (3)常微分方程之冪級數解 , (4)拉普拉斯轉換.　　 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 arrange accordingly in four parts: (1) Fist-order, second-order and higher order differential equations. (2) Systems of differential equations. (3) Series solutions of differential equations and special function. (4) Laplace transforms.
Course Schedule	第一週一階常微分方程(first order ordinary differential equation)-I 第二週一階常微分方程(first order ordinary differential equation)-II 第三週一階常微分方程(first order ordinary differential equation)-III 第四週二階及高階常微分方程(second order ordinary differential equation)-I 第五週二階及高階常微分方程(second order ordinary differential equation)-II 第六週聯立常微分方程(System ODE)-I 第七週聯立常微分方程(System ODE)-II 第八週聯立常微分方程(System ODE)-III 第九週期中考週- (Midterm)暫停一次第十週常微分方程之冪級數解 (ode series solution) 第十一週常微分方程之冪級數解 (ode series solution) 第十二週常微分方程之冪級數解 (ode series solution) 第十三週拉普拉斯轉換 (Laplace transform) 第十四週拉普拉斯轉換 (Laplace transform) 第十五週拉普拉斯轉換 (Laplace transform) 第十六週期末考試 (Final exam) 第十七週期末考試公告與查詢
Evaluation and grading policy	Attendance(quiz) : 30% Two exams: 35% + 35%
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes 1. 工程數學 (Advanced Engineering Mathematics, Peter V. O’Neil, 8th edition) 中文版 2. 工程數學 (Advanced Engineering Mathematics, Peter V. O’Neil, 8th edition)
The access to curricular consultation	請於office hour至辦公室, 以及詢問助教
Expanding teaching and resources	● 混成學習 (Blended Learning) 課程結合實體授課與線上學習（同步視訊／非同步活動）。 Combines face-to-face instruction with online learning (including synchronous video sessions or asynchronous activities).
The course corresponds to the SDGs	SDG1：消除貧窮（No Poverty） SDG3：良好健康和福祉（Good Health and Well-being） SDG4：優質教育（Quality Education） SDG9：產業創新與基礎設施（Industry, Innovation and Infrastructure） SDG10：減少不平等（Reduced Inequalities）
Does the course incorporate AI	● 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） ● 鼓勵學生使用生成式AI工具（Encourage students to use generative AI tools）
Note	Email: hungyc@ntut.edu.tw