查詢教學大綱與進度

教學大綱與進度

課程基本資料：

學年期課號課程名稱階段學分時數修教師班級人撤備註

115-1 362735 工程數學(一) 1 3.0 3 ▲ 陳威丞半導體外生二 23 0 半導體二和半導外生合開,EMI

學年期	課號	課程名稱	階段	學分	時數	修	教師	班級	人	撤	備註
115-1	362735	工程數學(一)	1	3.0	3	▲	陳威丞	半導體外生二	23	0	半導體二和半導外生合開,EMI

教學大綱與進度：

教師姓名陳威丞

Email weicc@ntut.edu.tw

最後更新時間 2026-06-07 23:29:53

課程大綱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.

課程進度 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

評量方式與標準 Homework & Quiz & Attendance (30%) Midterm exam (35%) Final exam (35%)

使用教材、參考書目或其他 【遵守智慧財產權觀念，請使用正版教科書，不得使用非法影印教科書】

使用外文原文書：是
Advanced Engineering Mathematics Erwin Kreyszig, Wiley 11th edition.

課程諮詢管道 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.

延伸教學與資源 ● 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.

課程對應SDGs指標 SDG4：優質教育（Quality Education）

課程是否導入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）

備註　

教師姓名	陳威丞
Email	weicc@ntut.edu.tw
最後更新時間	2026-06-07 23:29:53
課程大綱	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.
課程進度	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
評量方式與標準	Homework & Quiz & Attendance (30%) Midterm exam (35%) Final exam (35%)
使用教材、參考書目或其他	【遵守智慧財產權觀念，請使用正版教科書，不得使用非法影印教科書】使用外文原文書：是 Advanced Engineering Mathematics Erwin Kreyszig, Wiley 11th edition.
課程諮詢管道	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.
延伸教學與資源	● 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.
課程對應SDGs指標	SDG4：優質教育（Quality Education）
課程是否導入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）
備註