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	362362	Engineering Mathematics(I)	1	3.0	3	▲	Gui Meen Wah	4CE2B	49	0

Course Plan：

Instructor	Gui Meen Wah　Office Hours
Email	mwgui@ntut.edu.tw
Last Updated	2026-06-03 16:47:13
Course Objective	1. 一階常微分方程 2. 二階常微分方程 3. 線性聯立微分方程 4. Laplace Transform
Course Schedule	週次/ Week Topics教學進度 1 Introduction 2 1.0 First-Order Differential Equations 1.1 Basic Concepts and Ideas 3 1.2 Separable Differential Equations 4 1.3 Exact Differential Equations. Integrating Factors 5 1.4 Linear Differential Equations. Bernoulli Equation 6 2.0 Linear Differential Equations of Second and Higher Order 2.1 Homogeneous Linear Equations of Second Order 2.2 Second Order Homogeneous Equations with Constant Coefficients 7 2.3 Case of Complex Roots. Complex Exponential Function 2.4 Euler-Cauchy Equation 8 2.6 Nonhomogeneous Equations 2.7 Solution by Undetermined Coefficients. Solution by Variation of Parameters 9 Midterm Exam 10 3. System of Differential Equations, Phase Plane, Qualitative Methods 3.1 Vectors, Matrices, Eigenvalues 11 3.2 Homogeneous Systems with Constant Coefficients. 12 3.2 Homogeneous Systems with Constant Coefficients. 13 3.3 Qualitative Methods for Nonlinear Systems 3.4 Nonhomogeneous Linear System 14 4. Laplace Transforms 4.1 Laplace Transform. Inverse Transform. Linearity. Shifting 15 4.2 Transforms of Derivatives and Integrals. Differential Equations 4.3 Unit Step Function. Second Shifting Theorem, Dirac’s Delta Function 16 Final Exam 17 線上數位教材學習(Coursera、edX、磨課師等) 18 線上數位教材學習(Coursera、edX、磨課師等)
Evaluation and grading policy	Attendance, Homework, Quizzes, Tests, Midterm, Final Exam: 共100% (缺席者以零分計算)
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes 參考書目： 1. Zill, D.G. & Wright, W.S. (2014). Advanced Engineering Mathematics. 5th Ed. The Jones and Bartlett Publishers, USA. 2. Erwin Kreyszig (2011). Advanced Engineering Mathematics. 10th Ed. John Wiley & Sons, Inc. 3. Peter O’Neil (2013). Advanced Engineering Mathematics. Brooks/Cole Publishing Company.
The access to curricular consultation	私訊
Expanding teaching and resources	● 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） 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	● 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	1. 同學如有紙本加退選簽核，或課程問題，請 email: mwgui(at)ntut.edu.tw，安排時間地點簽核；信件標題請註明：[工數]_學號_名字。 2. 課程其他資料將透過北科 i-學園+ 公布。