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 362735 Engineering Mathematics (I) 1 3.0 3 ▲ CHEN,WEI-CHENG ISMPE2 0 0 半導體二和半導外生合開,EMI

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Fall Semester Year 2026	362735	Engineering Mathematics (I)	1	3.0	3	▲	CHEN,WEI-CHENG	ISMPE2	0	0	半導體二和半導外生合開,EMI

Course Plan：

Instructor CHEN,WEI-CHENG

Email weicc@ntut.edu.tw

Last Updated 2026-06-07 23:29:53

Course Objective 本課程全面介紹常微分方程（ODEs）與積分轉換，此兩者皆為工程應用中不可或缺的基礎數學工具。課程內容主要分為兩大核心部分：（1）一階、二階及高階線性常微分方程的解析技巧與數學建模，並著重於如何從實際的工程與物理問題中推導出這些微分方程。（2）拉氏轉換（Laplace Transform）的理論與應用，特別聚焦於其高效求解高階非齊次微分方程、不連續訊號輸入以及聯立常微分方程組的能力 This course provides a comprehensive introduction to ordinary differential equations (ODEs) and integral transforms, which are fundamental mathematical tools for engineering applications. The curriculum is divided into two primary components: (1) The analytical techniques and modeling of first-order, second-order, and higher-order linear ordinary differential equations, emphasizing how to derive these equations from practical engineering and physical problems. (2) The theory and application of the Laplace transform, focusing on its capability to solve higher-order nonhomogeneous differential equations, discontinuous inputs, and systems of ODEs efficiently.

Course Schedule Weeks 1–3: First-Order Ordinary Differential Equations (ODEs) Weeks 4–6: First-Order Linear ODEs and Applications Weeks 7–8: Second-Order Homogeneous Linear ODEs Week 9: Midterm Exam Weeks 10–12: Second-Order Nonhomogeneous Linear ODEs & Higher-Order ODEs Weeks 13–14: Laplace Transform I: Fundamental Theory Weeks 15–16: Laplace Transform II: Discontinuous Inputs & Advanced Theorems Week 17: Solving ODEs and Systems of ODEs via Laplace Transform Week 18: Final Exam

Evaluation and grading policy Homework & Quiz & Attendance (30%) Midterm exam (35%) Final exam (35%)

Materials All right reserved. Do not reproduce without permission.

Foreign-language textbooks:Yes
Advanced Engineering Mathematics Erwin Kreyszig, Wiley 11th edition.

The access to curricular consultation Office: Molecular Science Engineering Building 2nd Floor
Office Hours:
Mon. 10:00 ~ 17:00
Tue. 10:00 ~ 17:00
Thu. 10:00 ~ 18:00
Email: weicc@mail.ntut.edu.tw
If you have any questions, feel free to email me to schedule a consultation.

Expanding teaching and resources ● 參與式創新教學 (Participatory & Innovative Teaching)
強調學生參與與產出，導入翻轉、PBL/專題、設計思考或遊戲化等策略。
Emphasizes student engagement and outcomes by adopting strategies such as Flipped Classroom, PBL (Problem/Project- Based Learning), Design Thinking, or Gamification.
● 數位科技融入 (Digital Technology Integration)
運用生成式AI、VR/AR、IoT、IRS等新興科技輔助教學與評量。
Utilizes emerging technologies such as Generative AI, VR/AR, IoT, and IRS (Interactive Response Systems) to facilitate teaching and assessment.
● 數位教材資源應用 (Application of Digital Resources)
採用影音多媒體或具開放授權之資源（如OCW、開放教科書）作為主要或輔助教材。
Adopts multimedia or open-licensed resources (e.g., OCW, Open Textbooks) as primary or supplementary teaching materials.

The course corresponds to the SDGs SDG4：優質教育（Quality Education）

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）
● 使用生成式AI進行課堂即時互動（Use generative AI for real-time classroom interaction）

Note
　

Instructor	CHEN,WEI-CHENG
Email	weicc@ntut.edu.tw
Last Updated	2026-06-07 23:29:53
Course Objective	本課程全面介紹常微分方程（ODEs）與積分轉換，此兩者皆為工程應用中不可或缺的基礎數學工具。課程內容主要分為兩大核心部分：（1）一階、二階及高階線性常微分方程的解析技巧與數學建模，並著重於如何從實際的工程與物理問題中推導出這些微分方程。（2）拉氏轉換（Laplace Transform）的理論與應用，特別聚焦於其高效求解高階非齊次微分方程、不連續訊號輸入以及聯立常微分方程組的能力 This course provides a comprehensive introduction to ordinary differential equations (ODEs) and integral transforms, which are fundamental mathematical tools for engineering applications. The curriculum is divided into two primary components: (1) The analytical techniques and modeling of first-order, second-order, and higher-order linear ordinary differential equations, emphasizing how to derive these equations from practical engineering and physical problems. (2) The theory and application of the Laplace transform, focusing on its capability to solve higher-order nonhomogeneous differential equations, discontinuous inputs, and systems of ODEs efficiently.
Course Schedule	Weeks 1–3: First-Order Ordinary Differential Equations (ODEs) Weeks 4–6: First-Order Linear ODEs and Applications Weeks 7–8: Second-Order Homogeneous Linear ODEs Week 9: Midterm Exam Weeks 10–12: Second-Order Nonhomogeneous Linear ODEs & Higher-Order ODEs Weeks 13–14: Laplace Transform I: Fundamental Theory Weeks 15–16: Laplace Transform II: Discontinuous Inputs & Advanced Theorems Week 17: Solving ODEs and Systems of ODEs via Laplace Transform Week 18: Final Exam
Evaluation and grading policy	Homework & Quiz & Attendance (30%) Midterm exam (35%) Final exam (35%)
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes Advanced Engineering Mathematics Erwin Kreyszig, Wiley 11th edition.
The access to curricular consultation	Office: Molecular Science Engineering Building 2nd Floor Office Hours: Mon. 10:00 ~ 17:00 Tue. 10:00 ~ 17:00 Thu. 10:00 ~ 18:00 Email: weicc@mail.ntut.edu.tw If you have any questions, feel free to email me to schedule a consultation.
Expanding teaching and resources	● 參與式創新教學 (Participatory & Innovative Teaching) 強調學生參與與產出，導入翻轉、PBL/專題、設計思考或遊戲化等策略。 Emphasizes student engagement and outcomes by adopting strategies such as Flipped Classroom, PBL (Problem/Project- Based Learning), Design Thinking, or Gamification. ● 數位科技融入 (Digital Technology Integration) 運用生成式AI、VR/AR、IoT、IRS等新興科技輔助教學與評量。 Utilizes emerging technologies such as Generative AI, VR/AR, IoT, and IRS (Interactive Response Systems) to facilitate teaching and assessment. ● 數位教材資源應用 (Application of Digital Resources) 採用影音多媒體或具開放授權之資源（如OCW、開放教科書）作為主要或輔助教材。 Adopts multimedia or open-licensed resources (e.g., OCW, Open Textbooks) as primary or supplementary teaching materials.
The course corresponds to the SDGs	SDG4：優質教育（Quality Education）
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） ● 使用生成式AI進行課堂即時互動（Use generative AI for real-time classroom interaction）
Note